plot of log likelihood values

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Ilias Minas
Ilias Minas 2021-11-9
回答： Jeff Miller 2021-11-10
Hi everyone,
I have the following data values [2 4 3 1 6 2 2.5 7 10] with two parameters :shape and scale.
I would like to plot the log likelihood values for the following shape values:
1 2 3 4 5 6 7 8 9 10
How can I do this on Matlab?
Yours sincerely
Ilias Minas
  2 个评论
Jeff Miller
Jeff Miller 2021-11-9
Do you want the scale value to be adjusted to maximize likelihood separately for each shape value?
Ilias Minas
Ilias Minas 2021-11-10
I want the scale value to be fixed at 6

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回答（1 个）

Jeff Miller
Jeff Miller 2021-11-10
I think this might be what you are after:
x = [2 4 3 1 6 2 2.5 7 10]; % data
ShapeCandidates = 1:10;
Scale = 6;
loglikelihood = zeros(numel(ShapeCandidates),1);
for iShape=1:numel(ShapeCandidates)
wbl = makedist('Weibull','A',Scale,'B',iShape);
pdfs = wbl.pdf(x);
loglikelihood(iShape) = sum(log(pdfs));
end
figure; plot(ShapeCandidates,loglikelihood)
xlabel('Shape');
ylabel('Log likelihood');

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