How to simulate bimodal distribution?

r statistics probability distribution

Amateur · Jul 17, 2012 · Viewed 12.9k times · Source

I have the following code to generate bimodal distribution but when I graph the histogram. I don't see the 2 modes. I am wondering if there's something wrong with my code.

mu1 <- log(1)   
mu2 <- log(10)
sig1 <- log(3)
sig2 <- log(3)
cpct <- 0.4   

bimodalDistFunc <- function (n,cpct, mu1, mu2, sig1, sig2) {
  y0 <- rlnorm(n,mean=mu1, sd = sig1)
  y1 <- rlnorm(n,mean=mu2, sd = sig2)

  flag <- rbinom(n,size=1,prob=cpct)
  y <- y0*(1 - flag) + y1*flag 
}

bimodalData <- bimodalDistFunc(n=100,cpct,mu1,mu2, sig1,sig2)
hist(log(bimodalData))

Answer

The problem seems to be just too small n and too small difference between mu1 and mu2, taking mu1=log(1), mu2=log(50) and n=10000 gives this:

enter image description here

How to simulate bimodal distribution?

Answer

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