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The PDF of the distribution is in the form of f ( x ; k , ) = ( k ) k 1 x k

The PDF of the distribution is in the form of

f(x;k,)=(k)k1xk1ex,x0,

where:

(k)=(k1)!

is a gamma function. Find the maximum likelihood estimate for Gamma's distribution parameter . Please make sure to give complete details of the derivations.

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