How to simulate bimodal distribution?

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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:

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Amateur
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Amateur

Updated on June 06, 2022

Comments

  • Amateur
    Amateur almost 2 years

    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))
    
  • Oliver Zendel
    Oliver Zendel about 10 years
    Also using more than the default number of bins helps e.g. hist(log(bimodalData), breaks=100)