u1 <- runif(100000,0,1)
u2 <- runif(100000,0,1)
z1 <- sqrt(-2*log(u1))*cos(2*pi*u2)
z2 <- sqrt(-2*log(u1))*sin(2*pi*u2)
z <- c(z1,z2)
plot(density(z))
u1 <- runif(100000,0,1)
u2 <- runif(100000,0,1)
z1 <- sqrt(-2*log(u1))*cos(2*pi*u2)
z2 <- sqrt(-2*log(u1))*sin(2*pi*u2)
z <- c(z1,z2)
x <- 4*z+5
plot(density(x))
chi1<-function(n){
u1<-runif(n,0,1)
u2<-runif(n,0,1)
z1<-sqrt(-2*log(u1))*cos(2*pi*u2)
z2<-sqrt(-2*log(u1))*sin(2*pi*u2)
z<-c(z1,z2)
y<-z^2
}
x<-chi1(100000)
plot(density(x))
c<-chi1(100000)+chi1(100000)+chi1(100000)
plot(density(c))
eks<-function(n,lmd){
u1<-runif(n,0,1)
y<--1/lmd*log(u1)
}
y<-eks(100000,0.5)
plot(density(y))
hist(y)