Why does my log-normal distribution not fit my data?
Hello, I am fitting some realively simple data with a log normal distribution. I am then generating a probability distribution from that fit. Shouldn't this roughly match the intial data? when I plot it on top of normalized histogram of the data, the shape is appropriate but the scale is about ten-fold lower. Example below. parmat = lognfit(data) pdf = lognpdf(0:1:1000,parmat(1),parmat(2)) figure;hold on histogram(data,[0:1:1000],'normalization','probability') plot(0:1:1000,pdf) In this case shouldn't the probability density function approximate the histrogam, rather than being one tenth or less the values of the histogram probability?
Prashant Kumar answered .
2025-11-20
Consider thisexample:
X = lognrnd(0,1,[1,1000]); histogram(X,100,'normalization','probability') hold on ezplot(@(x) lognpdf(x,0,1))
ezplot(@(x) lognpdf(x,0,1)) hold on histogram(X,100,'normalization','pdf')
