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matlabstatisticsdistributionprobability-theoryweibull

Sample mean and variance of a Weibull distribution sample

Let's suppose that I have a random sample x from a Weibull distribution with shape parameter k=1 and scale parameter λ=2.
How am I supposed to compute the mean value of the sample? Also what can I do to compute the variance of the sample?

I would also appreciate any helpful Matlab code able to perform the aforementioned tasks.

Solution

  • Random numbers for Weibul distribution with scale parameter λ and shape parameter k:

    Numbers = wblrnd(λ,k);

    To compute the mean 

    mean(Numbers(:));

    To compute the variance 

    var(Numbers(:));