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.

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Let X1,..., Xn, be a random sample from the following probability distribution
fX(x)=0+1)e
-피/0
I+1
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 e.
(c) Find its expected value and its variance of S.

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