Let X1, X2,..., X, denote a random sample from the probability density function fx(x) = axa-l for r e (0, 1) and a > 0 Show that the sample mean X = X; is a consistent estimator of a(a +1)-1.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.