Log likelihood for each distributions.

J
JinYoung Kim · May 23, 2022 · 1.9K views
Question
Hi! I was wondering how to compute in Matlab the log likelihood.   I think which the "fitdist" function includes "likelihood" function(e.g. normlike, gamlike and wbllike, etc).   However, the result of likelihood value is not same result which I was using "Weilbull" distribution.   The "Weibull" and "fitdist(data,'weibull') -> PD.NLogL" were not same value.
Expert Answer
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John Williams PhD Expert
Answered Aug 25, 2026
It's not clear to me what fails to match with what. These match:
 
>> x = -5*log(rand(100,1));
>> pd = fitdist(x,'weibull');
>> format compact
>> negloglik(pd)
ans =
  267.1545
>> sum(-log(pdf(pd,x)))
ans =
  267.1545
>> wbllike(pd.ParameterValues,x)
ans =
  267.1545

 

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