{ "cells": [ { "cell_type": "markdown", "id": "8750d15b", "metadata": {}, "source": [ "# Cours 1 : Rappels Python + Analyse et retraitement de la donné" ] }, { "cell_type": "markdown", "id": "f7c08ae5", "metadata": {}, "source": [ "## 1. Préambule" ] }, { "cell_type": "markdown", "id": "ec7ecb4b", "metadata": {}, "source": [ "L'objectif de cette séance (3h) est de construire une base de données propre pour la modélisation, tout en analysant les caractéristiques du portefeuille. " ] }, { "cell_type": "markdown", "id": "da7d8ca3", "metadata": {}, "source": [ "# Rappels Python" ] }, { "cell_type": "markdown", "id": "c20547da", "metadata": {}, "source": [ "### Numériques, calculs élémentaires et imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "e5631491", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7\n", "12.5\n", "\n", "\n", "1237940039285380274899124224\n", "\n" ] } ], "source": [ "print(3 + 4)\n", "print(5 * 2.5)\n", "print(int)\n", "print(float)\n", "a = 2**90\n", "print(a)\n", "print(type(a))" ] }, { "cell_type": "code", "execution_count": 2, "id": "b8acd836", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.7320508075688772\n", "3\n", "0.5000000000000001\n" ] } ], "source": [ "import math\n", "\n", "import pandas as pd\n", "\n", "# from math import *\n", "# help(math)\n", "print(math.sqrt(3))\n", "print(math.floor(3.2))\n", "print(math.cos(math.pi / 3.0))" ] }, { "cell_type": "markdown", "id": "0cdfd47f", "metadata": {}, "source": [ "### Chaine de caractères" ] }, { "cell_type": "code", "execution_count": 3, "id": "acc09d5e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3342\n", "['toto', 'est', 'toto']\n" ] } ], "source": [ "print(\"33\" + \"42\")\n", "a = \"toto est toto\"\n", "a[4:]\n", "# Tout est objet\n", "print(a.split(\" \"))" ] }, { "cell_type": "code", "execution_count": 4, "id": "8590bf3a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bonjour, monsieur XX. Comment allez vous en ce Mardi 19 septembre?\n" ] } ], "source": [ "salutation = \"Bonjour, monsieur {}. Comment allez vous en ce {}?\".format(\n", " \"XX\",\n", " \"Mardi 19 septembre\",\n", ")\n", "print(salutation)" ] }, { "cell_type": "code", "execution_count": 5, "id": "20165055", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(\"toto\")" ] }, { "cell_type": "markdown", "id": "df9c9452", "metadata": {}, "source": [ "### Les listes " ] }, { "cell_type": "code", "execution_count": 6, "id": "4028380e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q\n", "TOTO\n", "['q', 2]\n", "[3, 5]\n", "[5, 5, 5, 5]\n" ] } ], "source": [ "a = [1, \"q\", 2, 3, 5, 8, \"TOTO\"]\n", "print(a[1])\n", "print(a[-1])\n", "print(a[1:3])\n", "print(a[-4:-2])\n", "print([5] * 4)" ] }, { "cell_type": "code", "execution_count": 7, "id": "f2ab3b16", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "range(4, 10)\n", "range(5, 50, 3)\n", "[3, 1, 4, 1, 5, 9]\n", "6\n" ] } ], "source": [ "print(range(4, 10))\n", "print(range(5, 50, 3))\n", "print([3, 1, 4, 1, 5, 9])\n", "print(len(range(4, 10)))" ] }, { "cell_type": "markdown", "id": "6910d310", "metadata": {}, "source": [ "### Les tests" ] }, { "cell_type": "code", "execution_count": 8, "id": "817fddfd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cinq!\n", "C'est 3\n", "True\n", "False\n", "True\n", "True\n", "True\n" ] } ], "source": [ "a = 2\n", "if a < 5:\n", " print(\"Cinq!\")\n", "else:\n", " print(\"a!\")\n", "\n", "# Zoom sur indentation\n", "num = 3\n", "if num == 1:\n", " print(\"C'est 1\")\n", "elif num == 2:\n", " print(\"C'est 2\")\n", "elif num == 3:\n", " print(\"C'est 3\")\n", "else:\n", " print(\"Autre que 1, 2 et 3\")\n", "\n", "print(num in [1, 2, 3])\n", "print(num not in [1, 2, 3])\n", "print(num != 5)\n", "\n", "print(num in [1, 2, 3] and num > 0)\n", "\n", "print(5 != 3)" ] }, { "cell_type": "markdown", "id": "aeab973b", "metadata": {}, "source": [ "### Les boucles " ] }, { "cell_type": "code", "execution_count": 9, "id": "98874653", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[6, 7, 8]\n", "138 ns ± 15.7 ns per loop (mean ± std. dev. of 7 runs, 1,000,000 loops each)\n", "[24333339, 24333340, 24333341]\n", "[6, 7, 8]\n", "85.4 ns ± 3.81 ns per loop (mean ± std. dev. of 7 runs, 10,000,000 loops each)\n", "[3, 4, 5]\n", "0 3\n", "1 4\n", "2 5\n" ] } ], "source": [ "a = [3, 4, 5]\n", "# Boucle for\n", "for i in range(len(a)):\n", " a[i] += 3\n", "print(a)\n", "%timeit for i in range(len(a)):a[i] += 3\n", "print(a)\n", "\n", "b = [3, 4, 5]\n", "print([i + 3 for i in b])\n", "%timeit [i+3 for i in b]\n", "print(b)\n", "\n", "for i, item in enumerate(b):\n", " print(i, item)" ] }, { "cell_type": "code", "execution_count": 10, "id": "fd4a92a4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "démarrage boucle\n", "0\n", "3\n", "6\n", "9\n", "12\n", "15\n", "18\n", "21\n", "24\n", "27\n", "30\n", "33\n", "36\n", "39\n", "42\n", "45\n", "48\n", "51\n", "increment de 10\n", "62\n", "65\n", "68\n", "71\n", "74\n" ] } ], "source": [ "# Boucle While , break et continue\n", "print(\"démarrage boucle\")\n", "i = 0\n", "while i < 100:\n", " print(i)\n", " i += 1\n", " if i == 52:\n", " i += 10\n", " print(\"increment de 10\")\n", " continue\n", " i += 2\n", " if i == 77:\n", " break" ] }, { "cell_type": "markdown", "id": "2e0f45f4", "metadata": {}, "source": [ "### Les fonctions" ] }, { "cell_type": "code", "execution_count": 11, "id": "02221362", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9\n" ] } ], "source": [ "def square(x):\n", " return x * x\n", "\n", "\n", "print(square(3))" ] }, { "cell_type": "markdown", "id": "47b418bb", "metadata": {}, "source": [ "### Pandas - Gestion de DataFrame" ] }, { "cell_type": "markdown", "id": "f79b9e1e", "metadata": {}, "source": [ "Les principales possibilités de cette librairie sont :\n", "\n", "- __récupérer des données__ depuis des fichiers CSV, tableaux Excel, des pages web, etc. ;\n", "- grouper, découper, alléger, déplacer, écrire les données sous forme de __DataFrame__, tracer des graphiques simplifiés ;\n", "- ces données peuvent être à une ou deux dimensions, ou encore temporelles avec ou sans périodicité.\n", "\n", "Le développement de cette bibliothèque s'inscrit dans la problématique de disposer d'outils pour **manipuler de gros volumes de données dans le but de leur exploitation scientifique ou commerciale**." ] }, { "cell_type": "markdown", "id": "fcd5703d", "metadata": {}, "source": [ "#### Series" ] }, { "cell_type": "markdown", "id": "1bc75a8f", "metadata": {}, "source": [ "Le type de base dans Pandas est la série. Une série est un vecteur de valeurs de variables." ] }, { "cell_type": "markdown", "id": "6123894c", "metadata": {}, "source": [ "1. Importer **la librairie pandas** et créer **une série contenant la suite des chiffres de 1 à 5 et des index alphabétiques de \"a\" à \"e\"**. \n", "2. **Afficher cette série.**\n", "3. **Afficher ses index.**\n", "4. **Afficher sa moyenne.**\n", "5. **Afficher la valeur de l'index \"b\" de cette série**" ] }, { "cell_type": "code", "execution_count": 12, "id": "dc035fc6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a 1\n", "b 2\n", "c 3\n", "d 4\n", "e 5\n", "dtype: int64\n", "Index(['a', 'b', 'c', 'd', 'e'], dtype='object')\n", "3.0\n", "2\n", "2\n" ] } ], "source": [ "# Ecrivez votre code ici\n", "\n", "serie = pd.Series({\"a\": 1, \"b\": 2, \"c\": 3, \"d\": 4, \"e\": 5})\n", "\n", "print(serie)\n", "print(serie.index)\n", "print(serie.mean())\n", "print(serie[\"b\"])\n", "print(serie.b)" ] }, { "cell_type": "markdown", "id": "6f01d48f", "metadata": {}, "source": [ "#### Dataframes" ] }, { "cell_type": "markdown", "id": "ac9eb45b", "metadata": {}, "source": [ "Le dataframe est l’**extension en 2 dimensions des series**. Il peut être vu comme un empilement de series dont les index sont partagés (et donc intrinsèquement alignés), ou comme dans un tableur où les index sont les numéros de lignes et les noms des series les noms des colonnes." ] }, { "cell_type": "markdown", "id": "c88c2361", "metadata": {}, "source": [ "Un dataframe se comporte comme un dictionnaire dont les cléss sont les noms des colonnes et les valeurs sont des series.\n", "On peut créer un dataframe à partir de dictionnaires, de liste de listes ou de liste de series, d’arrays numpy, de fichier Excel ou CSV, depuis des bases de données, …" ] }, { "cell_type": "markdown", "id": "a46cc71c", "metadata": {}, "source": [ "6. Créer **deux séries s et t** contenant **un échantillon de 4 valeurs issues d'une loi normale centrée réduite** et ayant pour **index** :\n", " - **1, 2, 3, 5 pour s**\n", " - **1, 2, 3, 4 pour t**\n", "\n", "Afficher ces séries." ] }, { "cell_type": "code", "execution_count": 13, "id": "fb8a02fc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 -0.163797\n", "2 -0.178046\n", "3 1.841188\n", "5 -0.713828\n", "dtype: float64 1 -1.053283\n", "2 0.435622\n", "3 0.036669\n", "4 -0.937576\n", "dtype: float64\n" ] } ], "source": [ "from numpy.random import standard_normal\n", "\n", "s = pd.Series(standard_normal(size=4), index=[1, 2, 3, 5])\n", "\n", "t = pd.Series(standard_normal(size=4), index=[1, 2, 3, 4])\n", "\n", "print(s, t)" ] }, { "cell_type": "markdown", "id": "6eee7875", "metadata": {}, "source": [ "7. Créer **une dataframe** contenant **les deux séries, avec leur nom pour noms de colonnes.** L'afficher." ] }, { "cell_type": "code", "execution_count": 14, "id": "c414f7ab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " s t\n", "1 -0.163797 -1.053283\n", "2 -0.178046 0.435622\n", "3 1.841188 0.036669\n", "4 NaN -0.937576\n", "5 -0.713828 NaN\n" ] } ], "source": [ "# Ecrivez votre code ici\n", "df = pd.DataFrame({\"s\": s, \"t\": t})\n", "\n", "print(df)" ] }, { "cell_type": "markdown", "id": "cd598463", "metadata": {}, "source": [ "8. **Les opérations sur une DataFrame :**\n", "\n", "Créer **une nouvelle colonne \"SUM**\", ayant pour valeur **la somme des deux séries ligne à ligne**. Afficher la DataFrame." ] }, { "cell_type": "code", "execution_count": 15, "id": "d385358c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " s t SUM\n", "1 -0.163797 -1.053283 -1.217080\n", "2 -0.178046 0.435622 0.257576\n", "3 1.841188 0.036669 1.877856\n", "4 NaN -0.937576 NaN\n", "5 -0.713828 NaN NaN\n" ] } ], "source": [ "# Ecrivez votre code ici\n", "df[\"SUM\"] = df[\"s\"] + df[\"t\"]\n", "\n", "print(df)" ] }, { "cell_type": "markdown", "id": "4e0b5d39", "metadata": {}, "source": [ "9. Afficher la moyenne de la colonne \"SUM\"." ] }, { "cell_type": "code", "execution_count": 16, "id": "004ea932", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.306117407059788\n" ] } ], "source": [ "# Ecrivez votre code ici\n", "print(df[\"SUM\"].mean())" ] }, { "cell_type": "markdown", "id": "85819ac6", "metadata": {}, "source": [ "### La bibliothèque NumPy" ] }, { "cell_type": "markdown", "id": "bd3c0f85", "metadata": {}, "source": [ "**La bibliothèque NumPy permet d’effectuer des calculs numériques avec Python. Elle introduit une gestion facilitée des tableaux de nombres.**\n", "\n", "Pour info : Pandas ou Numpy ? Dans le cas de Pandas, ce ne sont pas tout-à-fait des matrices mais des tables de données : la même table peut contenir différents types de données, des nombres, des chaînes de caractères, des booléens, des dates… Les données se manipulent comme des bases de données et les Dataframe de pandas sont optimisées pour ça. Chaque colonne porte un nom. Numpy propose des matrices à une ou plusieurs dimensions optimisées pour le calcul matriciel. Ces matrices ne contiennent que des nombres et tous du même type.\n", "\n", "**--> Pour faire des calculs matriciels, on choisit numpy. Pour faire de la gestion de base de données telle qu'une jointure de table, on choisit pandas.**" ] }, { "cell_type": "markdown", "id": "00a23f75", "metadata": {}, "source": [ "10. A l'aide de la librairie Numpy, générer **un échantillon issu d'une loi normale centrée réduite de 250 valeurs**. L'**afficher**.\n", "11. Créer **une série contenant l'échantillon précédent**. Les **index** de cette série consisteront en **un historique journalier à compter du 01/01/2012** (*indice : pour la définition des index, utiliser la fonction date_range de pandas*). **Afficher cette série**.\n", "12. Importer la **fonction offsets de pandas** et créer **une nouvelle range d'index** en repartant de la range d'index précédente mais en sélectionnant **un jour sur deux**. **Afficher cette range d'index**." ] }, { "cell_type": "code", "execution_count": 17, "id": "90c3ce0c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-1.48100031e-01 -1.82724671e-02 5.33995142e-01 -5.11716004e-01\n", " 1.60215373e+00 -6.56660123e-01 -4.92430625e-01 -1.30218231e+00\n", " 4.57050954e-01 1.13720512e+00 1.93882007e-01 -9.79378257e-01\n", " 1.56012679e+00 -1.95138457e+00 6.15310952e-01 -1.09006742e-01\n", " -5.67405713e-01 -1.23778617e+00 2.34857369e-01 1.40176708e+00\n", " -2.14419457e-01 1.37858608e+00 5.38550847e-01 -2.35289651e-01\n", " -6.32169424e-01 1.18343954e+00 -2.80455720e-02 -1.59424945e+00\n", " -6.16576567e-01 5.09514798e-01 -3.86466989e-01 -9.98188594e-01\n", " -1.40400667e+00 -4.24707799e-01 8.44178960e-01 3.82632538e-01\n", " -5.20014780e-02 9.45171958e-01 1.21082441e-01 3.47675378e-01\n", " 1.23155150e-01 7.35389160e-01 8.98324767e-02 -1.37724373e-01\n", " 9.05581966e-01 2.15210411e-01 -2.90184847e-02 9.24206345e-01\n", " -3.87444114e-01 -2.50795815e-02 -6.37478990e-01 3.04819749e-01\n", " 3.03324487e-01 1.30973700e+00 -8.67224961e-01 6.38897848e-01\n", " -4.00642393e-01 -1.77899242e-01 -3.31082874e+00 -9.59908358e-01\n", " 1.25631040e+00 2.03886333e-01 -8.91695924e-01 -1.00752311e+00\n", " 8.13411444e-01 2.45413858e-01 -4.91340723e-01 -1.49571575e+00\n", " -1.37089696e+00 1.37425899e+00 1.58215512e+00 -1.49692556e+00\n", " -1.36355594e+00 1.51401360e+00 -4.68723251e-01 -8.12387047e-02\n", " -8.75932158e-01 1.80317735e-01 7.66827206e-01 7.81087949e-01\n", " -4.88884878e-01 -2.00781191e+00 1.40616864e+00 -4.70476409e-01\n", " -4.61759242e-01 -1.14251037e+00 3.80849832e-01 2.12346360e-01\n", " -7.33780743e-02 -3.53206139e-01 -4.75913712e-02 -1.78254137e+00\n", " 1.41733658e+00 1.62730305e+00 -4.14578043e-01 -1.15270254e-01\n", " -4.18602217e-01 -3.63165903e+00 -4.63759358e-01 -2.00385806e-01\n", " -1.14158130e+00 -3.00026164e-01 -2.32082802e-01 -1.41976122e-01\n", " -5.40129047e-01 1.04764534e+00 -1.18555610e+00 1.23263494e+00\n", " 1.02368744e+00 3.53984866e-01 2.38018161e-01 1.66575839e-01\n", " -5.92620023e-01 -8.59978229e-02 -3.17808202e-01 2.96478933e-01\n", " -7.57178703e-01 -1.06396858e+00 1.19865297e+00 2.58392952e-01\n", " 7.23889876e-01 -5.38339030e-02 -9.07212369e-01 2.07709167e+00\n", " -5.20394996e-01 6.44169876e-01 3.23409859e-01 1.14102917e+00\n", " -2.19941650e-02 1.02157105e-01 -4.92473944e-01 -4.01780901e-01\n", " 1.91516188e+00 -8.25162478e-01 -6.86117415e-01 -2.93720876e+00\n", " -2.68479963e-01 -5.00985701e-01 -4.91632168e-01 5.37225245e-01\n", " -1.65639589e+00 -6.08272680e-01 6.78836641e-01 2.14314824e-01\n", " 2.28047530e+00 1.06766360e+00 5.75914029e-01 1.41869861e+00\n", " 6.14188390e-01 3.07009933e-01 9.16704337e-01 -2.51027865e-01\n", " -2.70619395e-01 1.30513519e-01 -3.73140125e-01 7.92579172e-01\n", " -7.27819339e-01 -1.34362274e+00 8.28259671e-01 1.47935008e-01\n", " -2.44249601e-02 2.55722095e-02 6.14713244e-01 -1.31750019e+00\n", " -6.17250204e-01 1.48909945e+00 -1.21133694e+00 5.75928595e-01\n", " -2.35042660e+00 -1.14811782e+00 -5.28027608e-01 -7.22333476e-02\n", " 1.22423698e+00 1.93951297e+00 -9.37189924e-01 7.12048936e-01\n", " -9.94779655e-02 -7.26409761e-01 -4.43653452e-03 -4.84877822e-02\n", " -7.10173120e-01 1.58145802e+00 -7.78963256e-02 4.30809610e-02\n", " -4.17328181e-01 -3.15381448e-01 -1.79240983e+00 -7.78593522e-01\n", " 2.07943872e-01 -5.80170754e-01 -1.18056513e+00 -1.04322222e-02\n", " -1.67206896e+00 4.04040390e-01 -3.76527291e-01 -1.19790336e-01\n", " -6.42757415e-01 6.60701277e-01 1.03979465e+00 -3.99066033e-01\n", " -1.09180448e+00 6.01131519e-01 -1.12805432e+00 1.76090036e+00\n", " 8.55162036e-01 -6.96037932e-02 -1.18701326e-01 1.98060218e+00\n", " 2.91125702e-01 -5.12871898e-01 -1.24062470e+00 1.34882087e+00\n", " 4.04852204e-01 -2.02045283e+00 3.97349234e-02 3.83805450e-01\n", " 2.09897371e+00 4.05300253e-01 -2.14703512e+00 1.83864974e-01\n", " 1.61175912e+00 -2.11995484e-03 7.56787719e-01 -5.85496577e-01\n", " -1.27714762e+00 -3.18424889e-02 -1.59672704e+00 -9.78890935e-01\n", " -9.11973050e-01 -1.25585411e-01 -1.36779010e+00 4.55331350e-01\n", " -6.37635148e-01 1.27423268e-01 -4.98476940e-01 -9.32334914e-01\n", " 4.77675320e-01 1.98969460e-01 1.92003382e-01 1.80706499e-01\n", " 8.49978924e-01 1.73922010e+00 -1.13027186e-01 -6.86599009e-01\n", " -5.25993208e-01 9.64312216e-01 9.81076498e-01 8.21718122e-01\n", " -1.34145609e-02 -7.27469706e-01]\n", "250\n" ] } ], "source": [ "# Ecrivez votre code ici\n", "import numpy as np\n", "\n", "X = np.random.standard_normal(size=250)\n", "\n", "print(X)\n", "print(X.size)" ] }, { "cell_type": "code", "execution_count": 18, "id": "756550e8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2012-01-01 -0.148100\n", "2012-01-02 -0.018272\n", "2012-01-03 0.533995\n", "2012-01-04 -0.511716\n", "2012-01-05 1.602154\n", " ... \n", "2012-09-02 0.964312\n", "2012-09-03 0.981076\n", "2012-09-04 0.821718\n", "2012-09-05 -0.013415\n", "2012-09-06 -0.727470\n", "Freq: D, Length: 250, dtype: float64\n" ] } ], "source": [ "index = pd.date_range(\"2012-01-01\", periods=250, freq=\"D\")\n", "\n", "serie = pd.Series(X, index=index)\n", "print(serie)" ] }, { "cell_type": "code", "execution_count": 19, "id": "91f53912", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DatetimeIndex(['2012-01-01', '2012-01-03', '2012-01-05', '2012-01-07',\n", " '2012-01-09', '2012-01-11', '2012-01-13', '2012-01-15',\n", " '2012-01-17', '2012-01-19',\n", " ...\n", " '2012-08-18', '2012-08-20', '2012-08-22', '2012-08-24',\n", " '2012-08-26', '2012-08-28', '2012-08-30', '2012-09-01',\n", " '2012-09-03', '2012-09-05'],\n", " dtype='datetime64[ns]', length=125, freq='2D')\n" ] } ], "source": [ "new_index = index[::2]\n", "print(new_index)" ] }, { "cell_type": "markdown", "id": "da60fcf3", "metadata": {}, "source": [ "# Travail pratique " ] }, { "cell_type": "markdown", "id": "4e99c600", "metadata": {}, "source": [ "## 3. Préparation du workspace" ] }, { "cell_type": "markdown", "id": "c1b01045", "metadata": {}, "source": [ "### Import de librairies " ] }, { "cell_type": "code", "execution_count": 20, "id": "97d58527", "metadata": {}, "outputs": [], "source": [ "# Data frame\n", "import pandas as pd\n", "import plotly.express as px\n", "import plotly.graph_objects as gp\n", "import seaborn as sns\n", "\n", "sns.set()" ] }, { "cell_type": "markdown", "id": "985e4e97", "metadata": {}, "source": [ "### Constantes" ] }, { "cell_type": "code", "execution_count": null, "id": "c9597b48", "metadata": {}, "outputs": [], "source": [ "input_path = \"./1_inputs\"\n", "output_path = \"./2_outputs\"" ] }, { "cell_type": "markdown", "id": "20c9a1fa", "metadata": {}, "source": [ "## 4. Import et visualisation des données" ] }, { "cell_type": "markdown", "id": "b2b035d2", "metadata": {}, "source": [ "### Import des données" ] }, { "cell_type": "code", "execution_count": 22, "id": "8051b5f4", "metadata": {}, "outputs": [], "source": [ "path = input_path + \"/base_modelisation.csv\"\n", "data_set = pd.read_csv(path, sep=\";\", decimal=\",\")" ] }, { "cell_type": "markdown", "id": "29413816", "metadata": {}, "source": [ "### Une première observation des données " ] }, { "cell_type": "code", "execution_count": 23, "id": "14b2a9c7", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "ANNEE_CTR", "rawType": "int64", "type": "integer" }, { "name": "CONTRAT_ANCIENNETE", "rawType": "object", "type": "string" }, { "name": "FREQUENCE_PAIEMENT_COTISATION", "rawType": "object", "type": "string" }, { "name": "GROUPE_KM", "rawType": "object", "type": "string" }, { "name": "ZONE_RISQUE", "rawType": "object", "type": "string" }, { "name": "AGE_ASSURE_PRINCIPAL", "rawType": "int64", "type": "integer" }, { "name": "GENRE", "rawType": "object", "type": "unknown" }, { "name": "DEUXIEME_CONDUCTEUR", "rawType": "object", "type": "unknown" }, { "name": "ANCIENNETE_PERMIS", "rawType": "int64", "type": "integer" }, { "name": "ANNEE_CONSTRUCTION", "rawType": "float64", "type": "float" }, { "name": "ENERGIE", "rawType": "object", "type": "string" }, { "name": "EQUIPEMENT_SECURITE", "rawType": "object", "type": "string" }, { "name": "PUISSANCE_VEHICULE", "rawType": "object", "type": "unknown" }, { "name": "VALEUR_DU_BIEN", "rawType": "object", "type": "string" }, { "name": "NB", "rawType": "int64", "type": "integer" }, { "name": "CHARGE", "rawType": "float64", "type": "float" }, { "name": "EXPO", "rawType": "float64", "type": "float" } ], "ref": "ee0cc5c8-7975-4194-8ada-5a812cc1de15", "rows": [ [ "0", "2019", "(-1,0]", "ANNUEL", "[20000;40000[", "B", "54", "M", "False", "47", "2016.0", "ESSENCE", "FAUX", null, "[10000;15000[", "0", "0.0", "0.672131147540984" ], [ "1", "2019", "(-1,0]", "ANNUEL", "[20000;40000[", "B", "88", "F", "True", "55", "2018.0", "DIESEL", "VRAI", "(85,96]", "[20000;25000[", "0", "0.0", "0.631147540983607" ], [ "2", "2021", "(1,2]", "ANNUEL", "[0;20000[", "D", "35", "F", "True", "16", "2017.0", "ESSENCE", "FAUX", "(74,80]", "[15000;20000[", "0", "0.0", "0.821917808219178" ], [ "3", "2021", "(2,5]", "ANNUEL", "[0;20000[", "C", "46", null, "False", "44", "2018.0", "ESSENCE", "VRAI", "(120,596]", "[35000;99999[", "0", "0.0", "0.832876712328767" ], [ "4", "2018", "(2,5]", "MENSUEL", "[20000;40000[", "A", "46", "F", "False", "31", "2009.0", "DIESEL", "FAUX", "(66,74]", "[10000;15000[", "0", "0.0", "1.0" ] ], "shape": { "columns": 17, "rows": 5 } }, "text/html": [ "
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" ], "text/plain": [ " ANNEE_CTR CONTRAT_ANCIENNETE FREQUENCE_PAIEMENT_COTISATION \\\n", "14259 2021 (2,5] MENSUEL \n", "14260 2019 (2,5] MENSUEL \n", "14261 2017 (-1,0] ANNUEL \n", "14262 2018 (-1,0] TRIMESTRIEL \n", "14263 2017 (-1,0] ANNUEL \n", "\n", " GROUPE_KM ZONE_RISQUE AGE_ASSURE_PRINCIPAL GENRE \\\n", "14259 [0;20000[ D 55 M \n", "14260 [20000;40000[ A 33 NaN \n", "14261 [0;20000[ A 62 NaN \n", "14262 [20000;40000[ D 20 NaN \n", "14263 [0;20000[ C 73 F \n", "\n", " DEUXIEME_CONDUCTEUR ANCIENNETE_PERMIS ANNEE_CONSTRUCTION ENERGIE \\\n", "14259 False 49 2017.0 ESSENCE \n", "14260 False 14 2017.0 ESSENCE \n", "14261 False 58 2017.0 ESSENCE \n", "14262 False 7 2016.0 DIESEL \n", "14263 False 41 2017.0 ESSENCE \n", "\n", " EQUIPEMENT_SECURITE PUISSANCE_VEHICULE VALEUR_DU_BIEN NB CHARGE \\\n", "14259 FAUX (80,85] [20000;25000[ 0 0.0 \n", "14260 FAUX (1,51] [10000;15000[ 0 0.0 \n", "14261 VRAI NaN [10000;15000[ 0 0.0 \n", "14262 FAUX (105,120] [25000;35000[ 0 0.0 \n", "14263 FAUX (1,51] [10000;15000[ 0 0.0 \n", "\n", " EXPO \n", "14259 0.495890 \n", "14260 0.999094 \n", "14261 0.498630 \n", "14262 0.024658 \n", "14263 0.142466 " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Dernières lignes\n", "data_set.tail()" ] }, { "cell_type": "code", "execution_count": 25, "id": "dbdd334a", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "object", "type": "string" }, { "name": "ANNEE_CTR", "rawType": "float64", "type": "float" }, { "name": "CONTRAT_ANCIENNETE", "rawType": "object", "type": "unknown" }, { "name": "FREQUENCE_PAIEMENT_COTISATION", "rawType": "object", "type": "unknown" }, { "name": "GROUPE_KM", "rawType": "object", "type": "unknown" }, { "name": "ZONE_RISQUE", "rawType": "object", "type": "unknown" }, { "name": "AGE_ASSURE_PRINCIPAL", "rawType": "float64", "type": "float" }, { "name": "GENRE", "rawType": "object", "type": "unknown" }, { "name": "DEUXIEME_CONDUCTEUR", "rawType": "object", "type": "unknown" }, { "name": "ANCIENNETE_PERMIS", "rawType": "float64", "type": "float" }, { "name": "ANNEE_CONSTRUCTION", "rawType": "float64", "type": "float" }, { "name": "ENERGIE", "rawType": "object", "type": "unknown" }, { "name": "EQUIPEMENT_SECURITE", "rawType": "object", "type": "unknown" }, { "name": "PUISSANCE_VEHICULE", "rawType": "object", "type": "unknown" }, { "name": "VALEUR_DU_BIEN", "rawType": "object", "type": "unknown" }, { "name": "NB", "rawType": "float64", "type": "float" }, { "name": "CHARGE", "rawType": "float64", "type": "float" }, { "name": "EXPO", "rawType": "float64", "type": "float" } ], "ref": "fdb785f2-4e10-40b3-a7a9-71f6b9a9195a", "rows": [ [ "count", "14264.0", "14264", "14264", "14261", "14263", "14264.0", "13522", "13617", "14264.0", "14058.0", "14264", "14264", "12089", "14058", "14264.0", "14264.0", "14264.0" ], [ "unique", null, "5", "3", "4", "17", null, "2", "2", null, null, "3", "2", "10", "6", null, null, null ], [ "top", null, "(0,1]", "MENSUEL", "[0;20000[", "C", null, "M", "False", null, null, "ESSENCE", "FAUX", "(80,85]", "[10000;15000[", null, null, null ], [ "freq", null, "4183", "6867", "7665", "4876", null, "7659", "10601", null, null, "7312", "9407", "1960", "3433", null, null, null ], [ "mean", "2018.7680874929893", null, null, null, null, "44.965647784632644", null, null, "36.29760235558048", "2015.3822023047376", null, null, null, null, "0.060992708917554685", "368.8192919237241", "0.7577844476010153" ], [ "std", "1.6561036198874457", null, null, null, null, "13.685577840702923", null, null, "18.91373064466682", "3.5329063879728695", null, null, null, null, "0.25188573568351946", "2033.0923404733767", "0.2972699208252545" ], [ "min", "2016.0", null, null, null, null, "13.0", null, null, "0.0", "1961.0", null, null, null, null, "0.0", "0.0", "0.0027322404371584" ], [ "25%", "2017.0", null, null, null, null, "35.0", null, null, "19.0", "2014.0", null, null, null, null, "0.0", "0.0", "0.561643835616438" ], [ "50%", "2019.0", null, null, null, null, "44.0", null, null, "35.0", "2016.0", null, null, null, null, "0.0", "0.0", "0.841095890410959" ], [ "75%", "2020.0", null, null, null, null, "54.0", null, null, "53.0", "2017.0", null, null, null, null, "0.0", "0.0", "1.0" ], [ "max", "2021.0", null, null, null, null, "94.0", null, null, "70.0", "2021.0", null, null, null, null, "3.0", "83421.85", "1.0" ] ], "shape": { "columns": 17, "rows": 11 } }, "text/html": [ "
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ANNEE_CTRCONTRAT_ANCIENNETEFREQUENCE_PAIEMENT_COTISATIONGROUPE_KMZONE_RISQUEAGE_ASSURE_PRINCIPALGENREDEUXIEME_CONDUCTEURANCIENNETE_PERMISANNEE_CONSTRUCTIONENERGIEEQUIPEMENT_SECURITEPUISSANCE_VEHICULEVALEUR_DU_BIENNBCHARGEEXPO
count14264.0000001426414264142611426314264.000000135221361714264.00000014058.0000001426414264120891405814264.00000014264.00000014264.000000
uniqueNaN53417NaN22NaNNaN32106NaNNaNNaN
topNaN(0,1]MENSUEL[0;20000[CNaNMFalseNaNNaNESSENCEFAUX(80,85][10000;15000[NaNNaNNaN
freqNaN4183686776654876NaN765910601NaNNaN7312940719603433NaNNaNNaN
mean2018.768087NaNNaNNaNNaN44.965648NaNNaN36.2976022015.382202NaNNaNNaNNaN0.060993368.8192920.757784
std1.656104NaNNaNNaNNaN13.685578NaNNaN18.9137313.532906NaNNaNNaNNaN0.2518862033.0923400.297270
min2016.000000NaNNaNNaNNaN13.000000NaNNaN0.0000001961.000000NaNNaNNaNNaN0.0000000.0000000.002732
25%2017.000000NaNNaNNaNNaN35.000000NaNNaN19.0000002014.000000NaNNaNNaNNaN0.0000000.0000000.561644
50%2019.000000NaNNaNNaNNaN44.000000NaNNaN35.0000002016.000000NaNNaNNaNNaN0.0000000.0000000.841096
75%2020.000000NaNNaNNaNNaN54.000000NaNNaN53.0000002017.000000NaNNaNNaNNaN0.0000000.0000001.000000
max2021.000000NaNNaNNaNNaN94.000000NaNNaN70.0000002021.000000NaNNaNNaNNaN3.00000083421.8500001.000000
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" ], "text/plain": [ " ANNEE_CTR CONTRAT_ANCIENNETE FREQUENCE_PAIEMENT_COTISATION \\\n", "count 14264.000000 14264 14264 \n", "unique NaN 5 3 \n", "top NaN (0,1] MENSUEL \n", "freq NaN 4183 6867 \n", "mean 2018.768087 NaN NaN \n", "std 1.656104 NaN NaN \n", "min 2016.000000 NaN NaN \n", "25% 2017.000000 NaN NaN \n", "50% 2019.000000 NaN NaN \n", "75% 2020.000000 NaN NaN \n", "max 2021.000000 NaN NaN \n", "\n", " GROUPE_KM ZONE_RISQUE AGE_ASSURE_PRINCIPAL GENRE \\\n", "count 14261 14263 14264.000000 13522 \n", "unique 4 17 NaN 2 \n", "top [0;20000[ C NaN M \n", "freq 7665 4876 NaN 7659 \n", "mean NaN NaN 44.965648 NaN \n", "std NaN NaN 13.685578 NaN \n", "min NaN NaN 13.000000 NaN \n", "25% NaN NaN 35.000000 NaN \n", "50% NaN NaN 44.000000 NaN \n", "75% NaN NaN 54.000000 NaN \n", "max NaN NaN 94.000000 NaN \n", "\n", " DEUXIEME_CONDUCTEUR ANCIENNETE_PERMIS ANNEE_CONSTRUCTION ENERGIE \\\n", "count 13617 14264.000000 14058.000000 14264 \n", "unique 2 NaN NaN 3 \n", "top False NaN NaN ESSENCE \n", "freq 10601 NaN NaN 7312 \n", "mean NaN 36.297602 2015.382202 NaN \n", "std NaN 18.913731 3.532906 NaN \n", "min NaN 0.000000 1961.000000 NaN \n", "25% NaN 19.000000 2014.000000 NaN \n", "50% NaN 35.000000 2016.000000 NaN \n", "75% NaN 53.000000 2017.000000 NaN \n", "max NaN 70.000000 2021.000000 NaN \n", "\n", " EQUIPEMENT_SECURITE PUISSANCE_VEHICULE VALEUR_DU_BIEN NB \\\n", "count 14264 12089 14058 14264.000000 \n", "unique 2 10 6 NaN \n", "top FAUX (80,85] [10000;15000[ NaN \n", "freq 9407 1960 3433 NaN \n", "mean NaN NaN NaN 0.060993 \n", "std NaN NaN NaN 0.251886 \n", "min NaN NaN NaN 0.000000 \n", "25% NaN NaN NaN 0.000000 \n", "50% NaN NaN NaN 0.000000 \n", "75% NaN NaN NaN 0.000000 \n", "max NaN NaN NaN 3.000000 \n", "\n", " CHARGE EXPO \n", "count 14264.000000 14264.000000 \n", "unique NaN NaN \n", "top NaN NaN \n", "freq NaN NaN \n", "mean 368.819292 0.757784 \n", "std 2033.092340 0.297270 \n", "min 0.000000 0.002732 \n", "25% 0.000000 0.561644 \n", "50% 0.000000 0.841096 \n", "75% 0.000000 1.000000 \n", "max 83421.850000 1.000000 " ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Synthèse des variables\n", "data_set.describe(include=\"all\")" ] }, { "cell_type": "code", "execution_count": 26, "id": "6a32bf11", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(14264, 17)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Dimensions\n", "data_set.shape" ] }, { "cell_type": "code", "execution_count": 27, "id": "0e30e0ac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['ANNEE_CTR', 'CONTRAT_ANCIENNETE', 'FREQUENCE_PAIEMENT_COTISATION',\n", " 'GROUPE_KM', 'ZONE_RISQUE', 'AGE_ASSURE_PRINCIPAL', 'GENRE',\n", " 'DEUXIEME_CONDUCTEUR', 'ANCIENNETE_PERMIS', 'ANNEE_CONSTRUCTION',\n", " 'ENERGIE', 'EQUIPEMENT_SECURITE', 'PUISSANCE_VEHICULE',\n", " 'VALEUR_DU_BIEN', 'NB', 'CHARGE', 'EXPO'],\n", " dtype='object')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Liste des colonnes\n", "data_set.columns" ] }, { "cell_type": "code", "execution_count": 28, "id": "1ca6278f", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "object", "type": "string" }, { "name": "0", "rawType": "object", "type": "unknown" } ], "ref": "5f653b66-20f9-4f82-83b0-f3b8da4ac509", "rows": [ [ "ANNEE_CTR", "int64" ], [ "CONTRAT_ANCIENNETE", "object" ], [ "FREQUENCE_PAIEMENT_COTISATION", "object" ], [ "GROUPE_KM", "object" ], [ "ZONE_RISQUE", "object" ], [ "AGE_ASSURE_PRINCIPAL", "int64" ], [ "GENRE", "object" ], [ "DEUXIEME_CONDUCTEUR", "object" ], [ "ANCIENNETE_PERMIS", "int64" ], [ "ANNEE_CONSTRUCTION", "float64" ], [ "ENERGIE", "object" ], [ "EQUIPEMENT_SECURITE", "object" ], [ "PUISSANCE_VEHICULE", "object" ], [ "VALEUR_DU_BIEN", "object" ], [ "NB", "int64" ], [ "CHARGE", "float64" ], [ "EXPO", "float64" ] ], "shape": { "columns": 1, "rows": 17 } }, "text/plain": [ "ANNEE_CTR int64\n", "CONTRAT_ANCIENNETE object\n", "FREQUENCE_PAIEMENT_COTISATION object\n", "GROUPE_KM object\n", "ZONE_RISQUE object\n", "AGE_ASSURE_PRINCIPAL int64\n", "GENRE object\n", "DEUXIEME_CONDUCTEUR object\n", "ANCIENNETE_PERMIS int64\n", "ANNEE_CONSTRUCTION float64\n", "ENERGIE object\n", "EQUIPEMENT_SECURITE object\n", "PUISSANCE_VEHICULE object\n", "VALEUR_DU_BIEN object\n", "NB int64\n", "CHARGE float64\n", "EXPO float64\n", "dtype: object" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Liste des colonnes selon leur type\n", "data_set.dtypes" ] }, { "cell_type": "markdown", "id": "f94702e4", "metadata": {}, "source": [ "**Exercice :**\n", "Ecrire un programme qui sépare les variables selon leur type (variables quantitatives, catégorielles et binaires). Pensez à identifier les variables avec des valeurs manquantes" ] }, { "cell_type": "code", "execution_count": 29, "id": "184234b2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variables quantitatives : ['ANNEE_CTR', 'AGE_ASSURE_PRINCIPAL', 'ANCIENNETE_PERMIS', 'ANNEE_CONSTRUCTION', 'NB', 'CHARGE', 'EXPO']\n", "\n", "Variables catégorielles : ['CONTRAT_ANCIENNETE', 'FREQUENCE_PAIEMENT_COTISATION', 'GROUPE_KM', 'ZONE_RISQUE', 'ENERGIE', 'PUISSANCE_VEHICULE', 'VALEUR_DU_BIEN']\n", "\n", "Variables binaires : ['GENRE', 'DEUXIEME_CONDUCTEUR', 'EQUIPEMENT_SECURITE']\n" ] } ], "source": [ "# Ecrivez votre code ici\n", "quantitatives = []\n", "categorielles = []\n", "binaires = []\n", "\n", "for col in data_set.columns:\n", " if data_set[col].dtype in [\"int64\", \"float64\"]:\n", " if len(data_set[col].dropna().unique()) == 2:\n", " binaires.append(col)\n", " else:\n", " quantitatives.append(col)\n", " elif len(data_set[col].dropna().unique()) == 2:\n", " binaires.append(col)\n", " else:\n", " categorielles.append(col)\n", "\n", "print(\"Variables quantitatives :\", quantitatives)\n", "print(\"\\nVariables catégorielles :\", categorielles)\n", "print(\"\\nVariables binaires :\", binaires)" ] }, { "cell_type": "code", "execution_count": 30, "id": "74e39ca9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Variables avec valeurs manquantes : ['GROUPE_KM', 'ZONE_RISQUE', 'GENRE', 'DEUXIEME_CONDUCTEUR', 'ANNEE_CONSTRUCTION', 'PUISSANCE_VEHICULE', 'VALEUR_DU_BIEN']\n" ] } ], "source": [ "# Ecrivez votre code ici\n", "variables_avec_na = []\n", "\n", "for col in data_set.columns:\n", " if data_set[col].isnull().any():\n", " variables_avec_na.append(col)\n", "\n", "print(\"\\nVariables avec valeurs manquantes :\", variables_avec_na)" ] }, { "cell_type": "markdown", "id": "b9095452", "metadata": {}, "source": [ "**Quels sont vos premiers commentaires ? Type de produit ? Périmètre temporel ? Modalités particulières ?**" ] }, { "cell_type": "markdown", "id": "290bafa5", "metadata": {}, "source": [ "*Réponse :*\n", "* Ptf Auto (on a des sinistres, coût et expo) de 2016 à 2021\n", "* 4 types de variables (caractéristiques du contrant, du conducteur, de la voiture et de la sinistralité)\n", "* présence de NA et valeurs aberrantes qu'on devra traiter\n", "* Exposition annuelle et pas journalière " ] }, { "cell_type": "markdown", "id": "1b157d45", "metadata": {}, "source": [ "### Anlayse des caractéristiques du portefeuille" ] }, { "cell_type": "code", "execution_count": 31, "id": "0be945ad", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "bingroup": "x", "hovertemplate": "ANNEE_CTR=%{x}
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H4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4QfhB+EH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfiB+IH4gfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+MH4wfjB+M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"linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "ZONE_RISQUE" }, "type": "category" }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "count" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ecrivez votre code ici\n", "fig = px.histogram(data_set.sort_values(\"ZONE_RISQUE\"), x=\"ZONE_RISQUE\")\n", "fig.update_xaxes(\n", " type=\"category\",\n", ") # Cette ligne permet de forcer la variable comme variable catégorielle et non numérique\n", "\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 36, "id": "71dfb629", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "bingroup": "x", "hovertemplate": "AGE_ASSURE_PRINCIPAL=%{x}
count=%{y}", "legendgroup": "", "marker": { "color": "#636efa", "pattern": { "shape": "" } }, "name": "", "orientation": "v", "showlegend": false, "type": "histogram", "x": { "bdata": 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"title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "GENRE" }, "type": "category" }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "count" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ecrivez votre code ici\n", "fig = px.histogram(data_set.sort_values(\"GENRE\"), x=\"GENRE\")\n", "fig.update_xaxes(\n", " type=\"category\",\n", ") # Cette ligne permet de forcer la variable comme variable catégorielle et non numérique\n", "\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "24165509", "metadata": {}, "source": [ "Un graphique qui décrit de manière plus détaillée la population est la pyramide des âges " ] }, { "cell_type": "code", "execution_count": 38, "id": "e833f992", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eléments dans la liste 2 mais pas dans la liste 1 \n", "[]\n", "Eléments dans la liste 1 mais pas dans la liste 2 :\n", "[np.int64(13)]\n" ] } ], "source": [ "# Préparation des données : compter le nombre de femmes et hommes par âge\n", "tmp = (\n", " data_set[[\"AGE_ASSURE_PRINCIPAL\", \"GENRE\"]]\n", " .value_counts()\n", " .to_frame(\"counts\")\n", " .reset_index()\n", ")\n", "data_f = tmp[tmp[\"GENRE\"] == \"F\"]\n", "data_h = tmp[tmp[\"GENRE\"] == \"M\"]\n", "\n", "# Comparaison des âges\n", "list_1 = sorted(data_f[\"AGE_ASSURE_PRINCIPAL\"].unique())\n", "list_2 = sorted(data_h[\"AGE_ASSURE_PRINCIPAL\"].unique())\n", "\n", "print(\"Eléments dans la liste 2 mais pas dans la liste 1 \")\n", "print(list(set(list_2) - set(list_1)))\n", "\n", "print(\"Eléments dans la liste 1 mais pas dans la liste 2 :\")\n", "print(list(set(list_1) - set(list_2)))" ] }, { "cell_type": "code", "execution_count": 39, "id": "a5fd2159", "metadata": {}, "outputs": [], "source": [ "# Il faut ajouter l'âge 13 dans la liste 2 (data_h)\n", "data_h = pd.concat(\n", " [\n", " data_h,\n", " pd.DataFrame(\n", " [[13, \"M\", 0]],\n", " columns=[\"AGE_ASSURE_PRINCIPAL\", \"GENRE\", \"counts\"],\n", " ),\n", " ],\n", " ignore_index=True,\n", ")\n", "\n", "# On ordonne les dataframes\n", "data_h = data_h.sort_values(\"AGE_ASSURE_PRINCIPAL\", ascending=True)\n", "data_f = data_f.sort_values(\"AGE_ASSURE_PRINCIPAL\", ascending=True)" ] }, { "cell_type": "code", "execution_count": 40, "id": "7c73dd35", "metadata": {}, "outputs": [], "source": [ "# Graphique\n", "y_age = data_h[\"AGE_ASSURE_PRINCIPAL\"]\n", "x_M = data_h[\"counts\"]\n", "x_F = data_f[\"counts\"] * -1" ] }, { "cell_type": "code", "execution_count": 41, "id": "50b1c279", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "name": "Hommes", "orientation": "h", "type": "bar", "x": { "bdata": 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}, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "font": { "size": 22 }, "text": "Population du portefeuille" }, "xaxis": { "title": { "font": { "size": 14 }, "text": "Count" } }, "yaxis": { "title": { "font": { "size": 14 }, "text": "Age" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = gp.Figure()\n", "\n", "# Ajout des données H\n", "fig.add_trace(gp.Bar(y=y_age, x=x_M, name=\"Hommes\", orientation=\"h\"))\n", "\n", "# Ajout des données F\n", "fig.add_trace(gp.Bar(y=y_age, x=x_F, name=\"Femmes\", orientation=\"h\"))\n", "\n", "# layout du graphique\n", "fig.update_layout(\n", " title=\"Population du portefeuille\",\n", " title_font_size=22,\n", " barmode=\"relative\",\n", " bargap=0.0,\n", " bargroupgap=0,\n", " xaxis={\"title\": \"Count\", \"title_font_size\": 14},\n", " yaxis={\"title\": \"Age\", \"title_font_size\": 14},\n", ")\n", "\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "b75a5d6e", "metadata": {}, "source": [ "**Quels sont vos commentaires ? En particulier sur la sinistralité ?**" ] }, { "cell_type": "markdown", "id": "0a6e63ab", "metadata": {}, "source": [ "**Exercice :** Tracez un graphique permettant de visualiser la distribution des coûts des sinistres " ] }, { "cell_type": "code", "execution_count": 42, "id": "9b344a1e", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "bingroup": "x", "hovertemplate": "CHARGE=%{x}
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"backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Distribution des coûts des sinistres" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "CHARGE" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "count" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = px.histogram(data_set[data_set[\"CHARGE\"] >= 0], x=\"CHARGE\", nbins=50)\n", "fig.update_layout(title=\"Distribution des coûts des sinistres\")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "b422e6d5", "metadata": {}, "source": [ "## 5. Retraitements" ] }, { "cell_type": "markdown", "id": "1eeb3d52", "metadata": {}, "source": [ "Une fois la phase d'appropriation du portefeuille passée, il est possible de nettoyer/retraiter la base de données dans le but d'obtenir une base exploitable à la modélisation" ] }, { "cell_type": "markdown", "id": "74529915", "metadata": {}, "source": [ "### Retraitement des NA " ] }, { "cell_type": "code", "execution_count": 43, "id": "b6a3542a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Nombre_NA Pourcentage\n", "ANNEE_CTR 0 0.000000\n", "CONTRAT_ANCIENNETE 0 0.000000\n", "FREQUENCE_PAIEMENT_COTISATION 0 0.000000\n", "GROUPE_KM 3 0.021032\n", "ZONE_RISQUE 1 0.007011\n", "AGE_ASSURE_PRINCIPAL 0 0.000000\n", "GENRE 742 5.201907\n", "DEUXIEME_CONDUCTEUR 647 4.535895\n", "ANCIENNETE_PERMIS 0 0.000000\n", "ANNEE_CONSTRUCTION 206 1.444195\n", "ENERGIE 0 0.000000\n", "EQUIPEMENT_SECURITE 0 0.000000\n", "PUISSANCE_VEHICULE 2175 15.248177\n", "VALEUR_DU_BIEN 206 1.444195\n", "NB 0 0.000000\n", "CHARGE 0 0.000000\n", "EXPO 0 0.000000\n" ] } ], "source": [ "# Nombre de NA par variable\n", "nan_count = pd.DataFrame(data_set.isna().sum(), columns=[\"Nombre_NA\"])\n", "\n", "# Ajout du % par rapport à la taille de la BD\n", "nan_count[\"Pourcentage\"] = nan_count.divide(data_set.shape[0]) * 100\n", "\n", "print(nan_count)" ] }, { "cell_type": "markdown", "id": "7b605c28", "metadata": {}, "source": [ "**Quelles possibilités s'offrent à nous ?**" ] }, { "cell_type": "markdown", "id": "f1f0ffbd", "metadata": { "vscode": { "languageId": "latex" } }, "source": [ "*Réponse :*\n", "* Suppression s'il y a trop de NA \n", "* Remplacer par la valeur moyenne/ classe la plus représenter\n", "* Remplacer par une valeur prudente" ] }, { "cell_type": "markdown", "id": "e2aff9a3", "metadata": {}, "source": [ "**Implémentez les 3 solutions discutées**" ] }, { "cell_type": "code", "execution_count": 44, "id": "efd61bfc", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "ANNEE_CTR", "rawType": "int64", "type": "integer" }, { "name": "CONTRAT_ANCIENNETE", "rawType": "object", "type": "string" }, { "name": "FREQUENCE_PAIEMENT_COTISATION", "rawType": "object", "type": "string" }, { "name": "GROUPE_KM", "rawType": "object", "type": "string" }, { "name": "ZONE_RISQUE", "rawType": "object", "type": "string" }, { "name": "AGE_ASSURE_PRINCIPAL", "rawType": "int64", "type": "integer" }, { "name": "GENRE", "rawType": "object", "type": "unknown" }, { "name": "DEUXIEME_CONDUCTEUR", "rawType": "object", "type": "unknown" }, { "name": "ANCIENNETE_PERMIS", "rawType": "int64", "type": "integer" }, { "name": "ANNEE_CONSTRUCTION", "rawType": "float64", "type": "float" }, { "name": "ENERGIE", "rawType": "object", "type": "string" }, { "name": "EQUIPEMENT_SECURITE", "rawType": "object", "type": "string" }, { "name": "VALEUR_DU_BIEN", "rawType": "object", "type": "string" }, { "name": "NB", "rawType": "int64", "type": "integer" }, { "name": "CHARGE", "rawType": "float64", "type": "float" }, { "name": "EXPO", "rawType": "float64", "type": "float" } ], "ref": "84e6f346-cb44-4a0c-b87d-15ce46cb8e0e", "rows": [ [ "0", "2019", "(-1,0]", "ANNUEL", "[20000;40000[", "B", "54", "M", "False", "47", "2016.0", "ESSENCE", "FAUX", "[10000;15000[", "0", "0.0", "0.672131147540984" ], [ "1", "2019", "(-1,0]", "ANNUEL", "[20000;40000[", "B", "88", "F", "True", "55", "2018.0", "DIESEL", "VRAI", "[20000;25000[", "0", "0.0", "0.631147540983607" ], [ "2", "2021", "(1,2]", "ANNUEL", "[0;20000[", "D", "35", "F", "True", "16", "2017.0", "ESSENCE", "FAUX", "[15000;20000[", "0", "0.0", "0.821917808219178" ], [ "3", "2021", "(2,5]", "ANNUEL", "[0;20000[", "C", "46", null, "False", "44", "2018.0", "ESSENCE", "VRAI", "[35000;99999[", "0", "0.0", "0.832876712328767" ], [ "4", "2018", "(2,5]", "MENSUEL", "[20000;40000[", "A", "46", "F", "False", "31", "2009.0", "DIESEL", "FAUX", "[10000;15000[", "0", "0.0", "1.0" ] ], "shape": { "columns": 16, "rows": 5 } }, "text/html": [ "
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" ], "text/plain": [ " ANNEE_CTR CONTRAT_ANCIENNETE FREQUENCE_PAIEMENT_COTISATION GROUPE_KM \\\n", "0 2019 (-1,0] ANNUEL [20000;40000[ \n", "1 2019 (-1,0] ANNUEL [20000;40000[ \n", "2 2021 (1,2] ANNUEL [0;20000[ \n", "3 2021 (2,5] ANNUEL [0;20000[ \n", "4 2018 (2,5] MENSUEL [20000;40000[ \n", "\n", " ZONE_RISQUE AGE_ASSURE_PRINCIPAL GENRE DEUXIEME_CONDUCTEUR \\\n", "0 B 54 M False \n", "1 B 88 F True \n", "2 D 35 F True \n", "3 C 46 NaN False \n", "4 A 46 F False \n", "\n", " ANCIENNETE_PERMIS ANNEE_CONSTRUCTION ENERGIE EQUIPEMENT_SECURITE \\\n", "0 47 2016.0 ESSENCE FAUX \n", "1 55 2018.0 DIESEL VRAI \n", "2 16 2017.0 ESSENCE FAUX \n", "3 44 2018.0 ESSENCE VRAI \n", "4 31 2009.0 DIESEL FAUX \n", "\n", " VALEUR_DU_BIEN NB CHARGE EXPO \n", "0 [10000;15000[ 0 0.0 0.672131 \n", "1 [20000;25000[ 0 0.0 0.631148 \n", "2 [15000;20000[ 0 0.0 0.821918 \n", "3 [35000;99999[ 0 0.0 0.832877 \n", "4 [10000;15000[ 0 0.0 1.000000 " ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_retraitee = data_set\n", "\n", "# Option 1 : Suppression des variables avec trop de NA (PUISSANCE_VEHICULE)\n", "data_retraitee = data_retraitee.drop(\"PUISSANCE_VEHICULE\", axis=\"columns\")\n", "data_retraitee.head()" ] }, { "cell_type": "code", "execution_count": 45, "id": "312ff05c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/tp/_ld5_pzs6nx6mv1pbjhq1l740000gn/T/ipykernel_40865/3750079679.py:8: FutureWarning:\n", "\n", "Downcasting object dtype arrays on .fillna, .ffill, .bfill is deprecated and will change in a future version. Call result.infer_objects(copy=False) instead. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n", "\n" ] } ], "source": [ "# Option 2 : Remplacer par la classe la plus représentée/valeur moyenne (GROUPE_KM,GENRE,\n", "# ANNEE_CONSTRUCTION,VALEUR_DU_BIEN,DEUXIEME_CONDUCTEUR)\n", "\n", "data_retraitee[\"GROUPE_KM\"] = data_retraitee[\"GROUPE_KM\"].fillna(\n", " data_retraitee[\"GROUPE_KM\"].mode()[0],\n", ")\n", "data_retraitee[\"GENRE\"] = data_retraitee[\"GENRE\"].fillna(\"M\")\n", "data_retraitee[\"ANNEE_CONSTRUCTION\"] = data_retraitee[\"ANNEE_CONSTRUCTION\"].fillna(\n", " data_retraitee[\"ANNEE_CONSTRUCTION\"].median(),\n", ")\n", "data_retraitee[\"VALEUR_DU_BIEN\"] = data_retraitee[\"VALEUR_DU_BIEN\"].fillna(\n", " data_retraitee[\"VALEUR_DU_BIEN\"].mode()[0],\n", ")\n", "data_retraitee[\"DEUXIEME_CONDUCTEUR\"] = data_retraitee[\"DEUXIEME_CONDUCTEUR\"].fillna(\n", " False,\n", ")" ] }, { "cell_type": "code", "execution_count": 46, "id": "2f542319", "metadata": {}, "outputs": [], "source": [ "# Option 3 : Remplacer par une valeur prudente (ZONE_RISQUE,DEUXIEME_CONDUCTEUR)\n", "\n", "# Remplacer par la zone avec le plus de sinistres\n", "zone_plus_sinsitree = (\n", " data_retraitee[[\"ZONE_RISQUE\", \"NB\"]].groupby([\"ZONE_RISQUE\"]).sum()\n", ")\n", "zone_plus_sinsitree.sort_values(\"NB\", ascending=False)\n", "\n", "data_retraitee[\"ZONE_RISQUE\"] = data_retraitee[\"ZONE_RISQUE\"].fillna(\"C\")" ] }, { "cell_type": "code", "execution_count": 47, "id": "b81a48e0", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "ANNEE_CTR", "rawType": "int64", "type": "integer" }, { "name": "CONTRAT_ANCIENNETE", "rawType": "object", "type": "string" }, { "name": "FREQUENCE_PAIEMENT_COTISATION", "rawType": "object", "type": "string" }, { "name": "GROUPE_KM", "rawType": "object", "type": "string" }, { "name": "ZONE_RISQUE", "rawType": "object", "type": "string" }, { "name": "AGE_ASSURE_PRINCIPAL", "rawType": "int64", "type": "integer" }, { "name": "GENRE", "rawType": "object", "type": "string" }, { "name": "DEUXIEME_CONDUCTEUR", "rawType": "bool", "type": "boolean" }, { "name": "ANCIENNETE_PERMIS", "rawType": "int64", "type": "integer" }, { "name": "ANNEE_CONSTRUCTION", "rawType": "float64", "type": "float" }, { "name": "ENERGIE", "rawType": "object", "type": "string" }, { "name": "EQUIPEMENT_SECURITE", "rawType": "object", "type": "string" }, { "name": "VALEUR_DU_BIEN", "rawType": "object", "type": "string" }, { "name": "NB", "rawType": "int64", "type": "integer" }, { "name": "CHARGE", "rawType": "float64", "type": "float" }, { "name": "EXPO", "rawType": "float64", "type": "float" } ], "ref": "b9993041-2b15-480f-a6ec-c63a3fe15878", "rows": [ [ "0", "2019", "(-1,0]", "ANNUEL", "[20000;40000[", "B", "54", "M", "False", "47", "2016.0", "ESSENCE", "FAUX", "[10000;15000[", "0", "0.0", "0.672131147540984" ], [ "1", "2019", "(-1,0]", "ANNUEL", "[20000;40000[", "B", "88", "F", "True", "55", "2018.0", "DIESEL", "VRAI", "[20000;25000[", "0", "0.0", "0.631147540983607" ], [ "2", "2021", "(1,2]", "ANNUEL", "[0;20000[", "D", "35", "F", "True", "16", "2017.0", "ESSENCE", "FAUX", "[15000;20000[", "0", "0.0", "0.821917808219178" ], [ "3", "2021", "(2,5]", "ANNUEL", "[0;20000[", "C", "46", "M", "False", "44", "2018.0", "ESSENCE", "VRAI", "[35000;99999[", "0", "0.0", "0.832876712328767" ], [ "4", "2018", "(2,5]", "MENSUEL", "[20000;40000[", "A", "46", "F", "False", "31", "2009.0", "DIESEL", "FAUX", "[10000;15000[", "0", "0.0", "1.0" ] ], "shape": { "columns": 16, "rows": 5 } }, "text/html": [ "
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42018(2,5]MENSUEL[20000;40000[A46FFalse312009.0DIESELFAUX[10000;15000[00.01.000000
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" ], "text/plain": [ " ANNEE_CTR CONTRAT_ANCIENNETE FREQUENCE_PAIEMENT_COTISATION GROUPE_KM \\\n", "0 2019 (-1,0] ANNUEL [20000;40000[ \n", "1 2019 (-1,0] ANNUEL [20000;40000[ \n", "2 2021 (1,2] ANNUEL [0;20000[ \n", "3 2021 (2,5] ANNUEL [0;20000[ \n", "4 2018 (2,5] MENSUEL [20000;40000[ \n", "\n", " ZONE_RISQUE AGE_ASSURE_PRINCIPAL GENRE DEUXIEME_CONDUCTEUR \\\n", "0 B 54 M False \n", "1 B 88 F True \n", "2 D 35 F True \n", "3 C 46 M False \n", "4 A 46 F False \n", "\n", " ANCIENNETE_PERMIS ANNEE_CONSTRUCTION ENERGIE EQUIPEMENT_SECURITE \\\n", "0 47 2016.0 ESSENCE FAUX \n", "1 55 2018.0 DIESEL VRAI \n", "2 16 2017.0 ESSENCE FAUX \n", "3 44 2018.0 ESSENCE VRAI \n", "4 31 2009.0 DIESEL FAUX \n", "\n", " VALEUR_DU_BIEN NB CHARGE EXPO \n", "0 [10000;15000[ 0 0.0 0.672131 \n", "1 [20000;25000[ 0 0.0 0.631148 \n", "2 [15000;20000[ 0 0.0 0.821918 \n", "3 [35000;99999[ 0 0.0 0.832877 \n", "4 [10000;15000[ 0 0.0 1.000000 " ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_retraitee.head()" ] }, { "cell_type": "markdown", "id": "e1ed6f6d", "metadata": {}, "source": [ "### Retraitement des valeurs aberrantes" ] }, { "cell_type": "markdown", "id": "e8a9daa6", "metadata": {}, "source": [ "Le traitement de valeurs aberrantes est similaire au traitement des NA. Si le jeu de données contient assez d'individus, il est préférable d'écarter les individus avec des valeurs aberrantes et qui pourraient biaiser l'étude." ] }, { "cell_type": "markdown", "id": "12318165", "metadata": {}, "source": [ "**Avez-vous trouvé des valeurs aberrantes ?** \n", "**Exercice :** Retraitez les valeurs qui vous semblent aberrantes" ] }, { "cell_type": "code", "execution_count": 48, "id": "25fbe5cf", "metadata": {}, "outputs": [], "source": [ "# Suppression des individus dont l'âge < 18\n", "data_retraitee = data_retraitee[data_retraitee[\"AGE_ASSURE_PRINCIPAL\"] >= 18]" ] }, { "cell_type": "markdown", "id": "aa1be865", "metadata": {}, "source": [ "### Transformation de l'exposition en exposition journalière" ] }, { "cell_type": "code", "execution_count": 49, "id": "0b5caf1d", "metadata": {}, "outputs": [], "source": [ "data_retraitee[\"EXPO\"] = data_retraitee[\"EXPO\"].multiply(365)" ] }, { "cell_type": "markdown", "id": "b038a53d", "metadata": {}, "source": [ "### Sauvegarde des données" ] }, { "cell_type": "code", "execution_count": 50, "id": "6a0f7afa", "metadata": {}, "outputs": [ { "ename": "OSError", "evalue": "Cannot save file into a non-existent directory: '2_outputs'", "output_type": "error", "traceback": [ "\u001b[31m---------------------------------------------------------------------------\u001b[39m", "\u001b[31mOSError\u001b[39m Traceback (most recent call last)", "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[50]\u001b[39m\u001b[32m, line 1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m \u001b[43mdata_retraitee\u001b[49m\u001b[43m.\u001b[49m\u001b[43mto_csv\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43m./2_outputs/base_retraitee.csv\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mindex\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\u001b[43m)\u001b[49m\n", "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/pandas/util/_decorators.py:333\u001b[39m, in \u001b[36mdeprecate_nonkeyword_arguments..decorate..wrapper\u001b[39m\u001b[34m(*args, **kwargs)\u001b[39m\n\u001b[32m 327\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(args) > num_allow_args:\n\u001b[32m 328\u001b[39m warnings.warn(\n\u001b[32m 329\u001b[39m msg.format(arguments=_format_argument_list(allow_args)),\n\u001b[32m 330\u001b[39m \u001b[38;5;167;01mFutureWarning\u001b[39;00m,\n\u001b[32m 331\u001b[39m stacklevel=find_stack_level(),\n\u001b[32m 332\u001b[39m )\n\u001b[32m--> \u001b[39m\u001b[32m333\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfunc\u001b[49m\u001b[43m(\u001b[49m\u001b[43m*\u001b[49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/pandas/core/generic.py:3967\u001b[39m, in \u001b[36mNDFrame.to_csv\u001b[39m\u001b[34m(self, path_or_buf, sep, na_rep, float_format, columns, header, index, index_label, mode, encoding, compression, quoting, quotechar, lineterminator, chunksize, date_format, doublequote, escapechar, decimal, errors, storage_options)\u001b[39m\n\u001b[32m 3956\u001b[39m df = \u001b[38;5;28mself\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(\u001b[38;5;28mself\u001b[39m, ABCDataFrame) \u001b[38;5;28;01melse\u001b[39;00m \u001b[38;5;28mself\u001b[39m.to_frame()\n\u001b[32m 3958\u001b[39m formatter = DataFrameFormatter(\n\u001b[32m 3959\u001b[39m frame=df,\n\u001b[32m 3960\u001b[39m header=header,\n\u001b[32m (...)\u001b[39m\u001b[32m 3964\u001b[39m decimal=decimal,\n\u001b[32m 3965\u001b[39m )\n\u001b[32m-> \u001b[39m\u001b[32m3967\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mDataFrameRenderer\u001b[49m\u001b[43m(\u001b[49m\u001b[43mformatter\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43mto_csv\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 3968\u001b[39m \u001b[43m \u001b[49m\u001b[43mpath_or_buf\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3969\u001b[39m \u001b[43m \u001b[49m\u001b[43mlineterminator\u001b[49m\u001b[43m=\u001b[49m\u001b[43mlineterminator\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3970\u001b[39m \u001b[43m \u001b[49m\u001b[43msep\u001b[49m\u001b[43m=\u001b[49m\u001b[43msep\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3971\u001b[39m \u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m=\u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3972\u001b[39m \u001b[43m \u001b[49m\u001b[43merrors\u001b[49m\u001b[43m=\u001b[49m\u001b[43merrors\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3973\u001b[39m \u001b[43m \u001b[49m\u001b[43mcompression\u001b[49m\u001b[43m=\u001b[49m\u001b[43mcompression\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3974\u001b[39m \u001b[43m \u001b[49m\u001b[43mquoting\u001b[49m\u001b[43m=\u001b[49m\u001b[43mquoting\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3975\u001b[39m \u001b[43m \u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m=\u001b[49m\u001b[43mcolumns\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3976\u001b[39m \u001b[43m \u001b[49m\u001b[43mindex_label\u001b[49m\u001b[43m=\u001b[49m\u001b[43mindex_label\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3977\u001b[39m \u001b[43m \u001b[49m\u001b[43mmode\u001b[49m\u001b[43m=\u001b[49m\u001b[43mmode\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3978\u001b[39m \u001b[43m \u001b[49m\u001b[43mchunksize\u001b[49m\u001b[43m=\u001b[49m\u001b[43mchunksize\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3979\u001b[39m \u001b[43m \u001b[49m\u001b[43mquotechar\u001b[49m\u001b[43m=\u001b[49m\u001b[43mquotechar\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3980\u001b[39m \u001b[43m \u001b[49m\u001b[43mdate_format\u001b[49m\u001b[43m=\u001b[49m\u001b[43mdate_format\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3981\u001b[39m \u001b[43m \u001b[49m\u001b[43mdoublequote\u001b[49m\u001b[43m=\u001b[49m\u001b[43mdoublequote\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3982\u001b[39m \u001b[43m \u001b[49m\u001b[43mescapechar\u001b[49m\u001b[43m=\u001b[49m\u001b[43mescapechar\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3983\u001b[39m \u001b[43m \u001b[49m\u001b[43mstorage_options\u001b[49m\u001b[43m=\u001b[49m\u001b[43mstorage_options\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 3984\u001b[39m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n", "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/pandas/io/formats/format.py:1014\u001b[39m, in \u001b[36mDataFrameRenderer.to_csv\u001b[39m\u001b[34m(self, path_or_buf, encoding, sep, columns, index_label, mode, compression, quoting, quotechar, lineterminator, chunksize, date_format, doublequote, escapechar, errors, storage_options)\u001b[39m\n\u001b[32m 993\u001b[39m created_buffer = \u001b[38;5;28;01mFalse\u001b[39;00m\n\u001b[32m 995\u001b[39m csv_formatter = CSVFormatter(\n\u001b[32m 996\u001b[39m path_or_buf=path_or_buf,\n\u001b[32m 997\u001b[39m lineterminator=lineterminator,\n\u001b[32m (...)\u001b[39m\u001b[32m 1012\u001b[39m formatter=\u001b[38;5;28mself\u001b[39m.fmt,\n\u001b[32m 1013\u001b[39m )\n\u001b[32m-> \u001b[39m\u001b[32m1014\u001b[39m \u001b[43mcsv_formatter\u001b[49m\u001b[43m.\u001b[49m\u001b[43msave\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1016\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m created_buffer:\n\u001b[32m 1017\u001b[39m \u001b[38;5;28;01massert\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(path_or_buf, StringIO)\n", "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/pandas/io/formats/csvs.py:251\u001b[39m, in \u001b[36mCSVFormatter.save\u001b[39m\u001b[34m(self)\u001b[39m\n\u001b[32m 247\u001b[39m \u001b[38;5;250m\u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 248\u001b[39m \u001b[33;03mCreate the writer & save.\u001b[39;00m\n\u001b[32m 249\u001b[39m \u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 250\u001b[39m \u001b[38;5;66;03m# apply compression and byte/text conversion\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m251\u001b[39m \u001b[38;5;28;01mwith\u001b[39;00m \u001b[43mget_handle\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 252\u001b[39m \u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mfilepath_or_buffer\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 253\u001b[39m \u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mmode\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 254\u001b[39m \u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 255\u001b[39m \u001b[43m \u001b[49m\u001b[43merrors\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43merrors\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 256\u001b[39m \u001b[43m \u001b[49m\u001b[43mcompression\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mcompression\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 257\u001b[39m \u001b[43m \u001b[49m\u001b[43mstorage_options\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43mstorage_options\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 258\u001b[39m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;28;01mas\u001b[39;00m handles:\n\u001b[32m 259\u001b[39m \u001b[38;5;66;03m# Note: self.encoding is irrelevant here\u001b[39;00m\n\u001b[32m 260\u001b[39m \u001b[38;5;28mself\u001b[39m.writer = csvlib.writer(\n\u001b[32m 261\u001b[39m handles.handle,\n\u001b[32m 262\u001b[39m lineterminator=\u001b[38;5;28mself\u001b[39m.lineterminator,\n\u001b[32m (...)\u001b[39m\u001b[32m 267\u001b[39m quotechar=\u001b[38;5;28mself\u001b[39m.quotechar,\n\u001b[32m 268\u001b[39m )\n\u001b[32m 270\u001b[39m \u001b[38;5;28mself\u001b[39m._save()\n", "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/pandas/io/common.py:749\u001b[39m, in \u001b[36mget_handle\u001b[39m\u001b[34m(path_or_buf, mode, encoding, compression, memory_map, is_text, errors, storage_options)\u001b[39m\n\u001b[32m 747\u001b[39m \u001b[38;5;66;03m# Only for write methods\u001b[39;00m\n\u001b[32m 748\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[33m\"\u001b[39m\u001b[33mr\u001b[39m\u001b[33m\"\u001b[39m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m mode \u001b[38;5;129;01mand\u001b[39;00m is_path:\n\u001b[32m--> \u001b[39m\u001b[32m749\u001b[39m \u001b[43mcheck_parent_directory\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mstr\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mhandle\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 751\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m compression:\n\u001b[32m 752\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m compression != \u001b[33m\"\u001b[39m\u001b[33mzstd\u001b[39m\u001b[33m\"\u001b[39m:\n\u001b[32m 753\u001b[39m \u001b[38;5;66;03m# compression libraries do not like an explicit text-mode\u001b[39;00m\n", "\u001b[36mFile \u001b[39m\u001b[32m~/Workspace/studies/.venv/lib/python3.13/site-packages/pandas/io/common.py:616\u001b[39m, in \u001b[36mcheck_parent_directory\u001b[39m\u001b[34m(path)\u001b[39m\n\u001b[32m 614\u001b[39m parent = Path(path).parent\n\u001b[32m 615\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m parent.is_dir():\n\u001b[32m--> \u001b[39m\u001b[32m616\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mOSError\u001b[39;00m(\u001b[33mrf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mCannot save file into a non-existent directory: \u001b[39m\u001b[33m'\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mparent\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m'\u001b[39m\u001b[33m\"\u001b[39m)\n", "\u001b[31mOSError\u001b[39m: Cannot save file into a non-existent directory: '2_outputs'" ] } ], "source": [ "data_retraitee.to_csv(\"./2_outputs/base_retraitee.csv\", index=False)" ] }, { "cell_type": "markdown", "id": "2ef464f6", "metadata": {}, "source": [ "## 6. Analyse de la sinistralité " ] }, { "cell_type": "markdown", "id": "b48567f0", "metadata": {}, "source": [ "Notre objectif final est de construire un modèle tarifaire. Il convient donc de construire 2 variables qui caractérisent la sinistralité :\n", "* La fréquence de sinistres (NB / EXPO) \n", "* Le coût moyen (CHARGE / NB)" ] }, { "cell_type": "code", "execution_count": null, "id": "c0d7ebf9", "metadata": {}, "outputs": [], "source": [ "# Calcul de la fréquence\n", "data_retraitee[\"FREQ\"] = data_retraitee[\"NB\"] / data_retraitee[\"EXPO\"]\n", "data_retraitee[\"FREQ\"] = data_retraitee[\"FREQ\"].fillna(0)\n", "\n", "# Calcul du coût moyen\n", "data_retraitee[\"CM\"] = data_retraitee[\"CHARGE\"] / data_retraitee[\"NB\"]\n", "data_retraitee[\"CM\"] = data_retraitee[\"CM\"].fillna(0)" ] }, { "cell_type": "markdown", "id": "cfa4caa5", "metadata": {}, "source": [ "Les modèles tarifaires essayent d'établir un lien entre les variables explicatives et la sinistralité. C'est le travail d'un actuaire comprendre et avoir un regard critique sur les relations trouvées. \n", "Pour aider l'actuaire dans ce travail, la visualisation des données (FREQ, CM) en fonction des variables explicatives peut être utile. \n", " \n", "Dans ce qui suit, nous allons faire cet exercice que sur certaines variables explicatives. Cet exercice peut bien sûr être étendu aux autres variables explicatives. \n", "**Remarque :** \n", "*Attention au sens de l'analyse que vous menez. Si on s'intéresse par exemple au coût moyen de la garantie RC, ce dernier n'a pas de dépendance géographique (toute chose égale par ailleurs une victime sera indemnisée à la même hauteur à Lille ou à Marseille).*" ] }, { "cell_type": "markdown", "id": "7ef1c685", "metadata": {}, "source": [ " ### Fréquence en fonction de l'âge du conducteur" ] }, { "cell_type": "code", "execution_count": null, "id": "d40508d7", "metadata": {}, "outputs": [], "source": [ "# Agrégation selon la variable d'intérêt\n", "plot_data = data_retraitee[[\"AGE_ASSURE_PRINCIPAL\", \"NB\", \"EXPO\"]]\n", "plot_data = plot_data.groupby([\"AGE_ASSURE_PRINCIPAL\"], as_index=False).sum()\n", "\n", "# Calcul de la fréquence\n", "plot_data[\"FREQ\"] = plot_data[\"NB\"] / plot_data[\"EXPO\"]\n", "plot_data[\"FREQ\"] = plot_data[\"FREQ\"].fillna(0)" ] }, { "cell_type": "code", "execution_count": null, "id": "ee960c8f", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "AGE_ASSURE_PRINCIPAL=%{x}
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"ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Sinistralité selon le genre" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "GENRE" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "FREQ" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Agrégation selon la variable d'intérêt\n", "plot_data = data_retraitee[[\"GENRE\", \"NB\", \"EXPO\"]]\n", "plot_data = plot_data.groupby([\"GENRE\"], as_index=False).sum()\n", "\n", "# Calcul de la fréquence\n", "plot_data[\"FREQ\"] = plot_data[\"NB\"] / plot_data[\"EXPO\"]\n", "plot_data[\"FREQ\"] = plot_data[\"FREQ\"].fillna(0)\n", "print(plot_data)\n", "\n", "# Représentation graphique\n", "fig = px.scatter(plot_data, x=\"GENRE\", y=\"FREQ\", title=\"Sinistralité selon le genre\")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "b450c393", "metadata": {}, "source": [ "### Fréquence en fonction de la zone de risque" ] }, { "cell_type": "code", "execution_count": null, "id": "1ac452e1", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'data_retraitee' is not defined", "output_type": "error", "traceback": [ "\u001b[31m---------------------------------------------------------------------------\u001b[39m", "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[1]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m#Agrégation selon la variable d'intérêt\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m plot_data = \u001b[43mdata_retraitee\u001b[49m[[\u001b[33m\"\u001b[39m\u001b[33mZONE_RISQUE\u001b[39m\u001b[33m\"\u001b[39m, \u001b[33m\"\u001b[39m\u001b[33mNB\u001b[39m\u001b[33m\"\u001b[39m,\u001b[33m\"\u001b[39m\u001b[33mEXPO\u001b[39m\u001b[33m\"\u001b[39m]]\n\u001b[32m 3\u001b[39m plot_data = plot_data.groupby([\u001b[33m\"\u001b[39m\u001b[33mZONE_RISQUE\u001b[39m\u001b[33m\"\u001b[39m], as_index=\u001b[38;5;28;01mFalse\u001b[39;00m).sum()\n\u001b[32m 5\u001b[39m \u001b[38;5;66;03m#Calcul de la fréquence\u001b[39;00m\n", "\u001b[31mNameError\u001b[39m: name 'data_retraitee' is not defined" ] } ], "source": [ "# Agrégation selon la variable d'intérêt\n", "plot_data = data_retraitee[[\"ZONE_RISQUE\", \"NB\", \"EXPO\"]]\n", "plot_data = plot_data.groupby([\"ZONE_RISQUE\"], as_index=False).sum()\n", "\n", "# Calcul de la fréquence\n", "plot_data[\"FREQ\"] = plot_data[\"NB\"] / plot_data[\"EXPO\"]\n", "plot_data[\"FREQ\"] = plot_data[\"FREQ\"].fillna(0)\n", "print(plot_data)\n", "\n", "# Représentation graphique\n", "fig = px.scatter(\n", " plot_data,\n", " x=\"ZONE_RISQUE\",\n", " y=\"FREQ\",\n", " title=\"Sinistralité selon la zone géographique\",\n", ")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "9654f15c", "metadata": {}, "source": [ "### Fréquence en fonction du carburant" ] }, { "cell_type": "code", "execution_count": null, "id": "2185245a", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "ENERGIE=%{x}
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"linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Sinistralité selon le carburant" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "ENERGIE" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "FREQ" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Agrégation selon la variable d'intérêt\n", "plot_data = data_retraitee[[\"ENERGIE\", \"NB\", \"EXPO\"]]\n", "plot_data = plot_data.groupby([\"ENERGIE\"], as_index=False).sum()\n", "\n", "# Calcul de la fréquence\n", "plot_data[\"FREQ\"] = plot_data[\"NB\"] / plot_data[\"EXPO\"]\n", "plot_data[\"FREQ\"] = plot_data[\"FREQ\"].fillna(0)\n", "print(plot_data)\n", "\n", "# Représentation graphique\n", "fig = px.scatter(\n", " plot_data,\n", " x=\"ENERGIE\",\n", " y=\"FREQ\",\n", " title=\"Sinistralité selon le carburant\",\n", ")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "fbcd63c5", "metadata": {}, "source": [ "### 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"automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Coût moyen selon le prix" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "VALEUR_DU_BIEN" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "CM" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Agrégation selon la variable d'intérêt\n", "plot_data = data_retraitee[[\"VALEUR_DU_BIEN\", \"CHARGE\", \"NB\"]]\n", "plot_data = plot_data[plot_data[\"CHARGE\"] > 0]\n", "plot_data = plot_data.groupby([\"VALEUR_DU_BIEN\"], as_index=False).sum()\n", "\n", "# Calcul du CM\n", "plot_data[\"CM\"] = plot_data[\"CHARGE\"] / plot_data[\"NB\"]\n", "plot_data[\"CM\"] = plot_data[\"CM\"].fillna(0)\n", "print(plot_data)\n", "\n", "# Représentation graphique\n", "fig = px.scatter(\n", " plot_data,\n", " x=\"VALEUR_DU_BIEN\",\n", " y=\"CM\",\n", " title=\"Coût 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plot_data[plot_data[\"CHARGE\"] > 0]\n", "plot_data = plot_data.groupby([\"ANNEE_CONSTRUCTION\"], as_index=False).sum()\n", "\n", "# Calcul du CM\n", "plot_data[\"CM\"] = plot_data[\"CHARGE\"] / plot_data[\"NB\"]\n", "plot_data[\"CM\"] = plot_data[\"CM\"].fillna(0)\n", "print(plot_data)\n", "\n", "# Représentation graphique\n", "fig = px.line(\n", " plot_data,\n", " x=\"ANNEE_CONSTRUCTION\",\n", " y=\"CM\",\n", " title=\"Coût moyen selon l'ancienneté du bien\",\n", ")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "808da76f", "metadata": {}, "source": [ "### Coût moyen en fonction de l'âge de l'assuré" ] }, { "cell_type": "code", "execution_count": null, "id": "d1506c6c", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "AGE_ASSURE_PRINCIPAL=%{x}
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\"NB\"]]\n", "plot_data = plot_data[plot_data[\"CHARGE\"] > 0]\n", "plot_data = plot_data.groupby([\"AGE_ASSURE_PRINCIPAL\"], as_index=False).sum()\n", "\n", "# Calcul du CM\n", "plot_data[\"CM\"] = plot_data[\"CHARGE\"] / plot_data[\"NB\"]\n", "plot_data[\"CM\"] = plot_data[\"CM\"].fillna(0)\n", "print(plot_data)\n", "\n", "# Représentation graphique\n", "fig = px.scatter(\n", " plot_data,\n", " x=\"AGE_ASSURE_PRINCIPAL\",\n", " y=\"CM\",\n", " title=\"Coût moyen selon l'âge de l'assuré\",\n", ")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "8982b0ad", "metadata": {}, "source": [ "### Coût moyen en fonction du genre" ] }, { "cell_type": "code", "execution_count": null, "id": "9f19cc0d", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "GENRE=%{x}
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"ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Coût moyen selon l'âge de l'assuré" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "GENRE" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "CM" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Agrégation selon la variable d'intérêt\n", "plot_data = data_retraitee[[\"GENRE\", \"CHARGE\", \"NB\"]]\n", "plot_data = plot_data[plot_data[\"CHARGE\"] > 0]\n", "plot_data = plot_data.groupby([\"GENRE\"], as_index=False).sum()\n", "\n", "# Calcul du CM\n", "plot_data[\"CM\"] = plot_data[\"CHARGE\"] / plot_data[\"NB\"]\n", "plot_data[\"CM\"] = plot_data[\"CM\"].fillna(0)\n", "print(plot_data)\n", "\n", "# Représentation graphique\n", "fig = px.scatter(\n", " plot_data,\n", " x=\"GENRE\",\n", " y=\"CM\",\n", " title=\"Coût moyen selon l'âge de l'assuré\",\n", ")\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "e497e4b5", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "studies", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }