# 410Exam2Aans - STAT 410 Fall 2009 Version A Name ANSWERS ....

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Page 1 of 6 1. Let X 1 , X 2 , … , X n be a random sample from the distribution with probability density function ( 29 ( 29 ( 29 1 1 2 θ θ θ x x x f - + = - 0 < x < 1 θ > 0. a) (4) Find the sufficient statistic Y = u ( X 1 , X 2 , … , X n ) for θ . f ( x 1 , x 2 , x n ; θ ) = f ( x 1 ; θ ) f ( x 2 ; θ ) f ( x n ; θ ) = ( 29 ( 29 = - = - + n i i n i i n x x 1 1 1 2 1 θ θ θ . By Factorization Theorem,
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## This note was uploaded on 04/15/2010 for the course STAT 410 taught by Professor Monrad during the Fall '08 term at University of Illinois, Urbana Champaign.

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410Exam2Aans - STAT 410 Fall 2009 Version A Name ANSWERS ....

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