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ArtStudies/M1/Monte Carlo Methods/Exercise3.rmd
2024-10-09 14:46:22 +02:00

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# Exercise 3 : Box Muller Algo
```{r}
BM <- function(n) {
U1 <- runif(n)
U2 <- runif(n)
X1 <- sqrt(-2 * log(U1)) * cos(2 * pi * U2)
X2 <- sqrt(-2 * log(U1)) * sin(2 * pi * U2)
return(c(X1, X2))
}
n <- 10e4
X <- BM(n)
hist(X, breaks = 50, freq = FALSE)
curve(dnorm(x), add = TRUE, col = "red")
```