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Let X1, . . . , Xn be independent with common density fo ( 20 ) = Pac - 1 1 10 O . (

Let X1, . . . , Xn be independent with common density

fo ( 20 ) = Pac - 1 1 10 O . ( 1 ) Show that - log ( * ; ) is a Gamma ( 1 , 1 / O ) random variable . ( 2 )` Find a BUE of 1 / 0. ( 3 ) Find a BUE of O. ( 4 ) Find a BUE of 9 / ( 1 + 0 )

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