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?
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Consider thisexample:
X = lognrnd(0,1,[1,1000]);
histogram(X,100,'normalization','probability')
hold on
ezplot(@(x) lognpdf(x,0,1))
So the two plots seems scaled wrong.
But the histogram normlization chosen was one such that the sum of the bars is 1. Consider the choices given though.
ezplot(@(x) lognpdf(x,0,1))
hold on
histogram(X,100,'normalization','pdf')
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