Let X1,.., Xn, be a random sample from the following probability distribution x+1 fX(x)=0De-*/", x > 0,0 elsewhere and e > 0. (a) Show that f belongs to a regular exponential family. (b) Find a complete sufficient statistics S of 0. (c) Find its expected value and its variance of S.

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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.