# How to calculate standard errors for estimated parameters for a 3-parameter Weibull Distribution?

Hi,

The example discussed below provides a code for estimating parameters of a three-parameter weibull distribution. I am interested in calculating the standard errors of these estimated parameters, can anyone please tell me how to proceed?

Link to matlab example: <https://in.mathworks.com/help/stats/weibull-distribution.html>

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One method is to use Fisher information; another method is to use bootstrapping. Google will explain these if you are not already familiar with them.

Here is some code implementing each method:

%%Demo showing 2 methods of computing standard errors of 3-parameter Weibull distribution.

% Both methods require Cupid available at https://github.com/milleratotago/Cupid

% Method 2 also requires RawRT available at https://github.com/milleratotago/RawRT% Here are some sample data to be used for this demo.

myDist = Weibull(550,1.9,300); % Arbitrary parameter values to generate some data.

myDist.PlotDens;

data = myDist.Random(300,1); % Replace this with your own data.

figure; histogram(data);%%Method 1: Estimate SEs using Fisher Information

myDist = Weibull(500,1.8,200); % Use your best guesses for the initial parameter values.

myDist.EstML(data); % Estimate the parameter values.

estparms = myDist.ParmValues;

[SEs, Cov] = myDist.MLSE(data,'rrr'); % This step computes the standard errors.

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