ok, X_1,X_2,...,X_n are independant(and unbiased) rectangular distributed random variables over the interval [0,a](adsbygoogle = window.adsbygoogle || []).push({});

It is known that T(X)=max(X_1,X_2,...,X_n) is sufficient. i am supposed to find the moment estimator for a using the method of moments.

i know i'm supposed to equate the first k sample moments to the corresponding k population moments and solve the resulting system of equations, but i have a few questions:

1.is the rectangular distribution the same as the uniform distribution?

2.to get me started so i understand what to do, what is the first sample and population moment?

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# Method of moments

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