#'중심극한정리
#'중심극한정리를 카이제곱을 이용하여 직접 확인할수있다
#' CLT.plot(rchisq, n = 1, df = 1)
#' CLT.plot(rchisq, n = 30, df = 1)일때를 비교
CLT.plot <- function(r.dist, n, ...) {
means <- double()
for(i in 1:1000) means[i] = mean(r.dist(n,...))
std.means <- scale(means)
par(mfrow = c(1, 2))
hist(std.means, prob = T, col = "light grey",
border = "grey", main = NULL, ylim = c(0, 0.5))
lines(density(std.means))
box()
curve(dnorm(x, 0, 1), -3, 3, col = 'blue', add = T)
qqnorm(std.means, main="", cex = 0.8)
abline(0, 1, lty = 2, col = "red")
par(mfrow = c(1, 1))
}
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