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Unformatted text preview: 4.26 with 1 / = and 1 / = . By independence, the joint distribution is the pdf f Z times the pmf f W , where f Z ( z  , ) = ( + ) e( + ) z , z (0 , ) , f W ( w  , ) = w + (1 w ) + , w = 0 , 1 . 7.19 Here, 2 is the same for all the i . Note that Y i normal( x i , 2 ), so f Y i ( y i ) = 1 2 exp ( y i x i ) 2 2 2 . (a) Begin by writing f v Y ( vy  , 2 ), and then use the factorization theorem. (b) Use the log likelihood. The MLE is a linear combination of Y i , so the expected value is easy to nd. (c) See the hint for (b)....
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 Fall '08
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 Statistics

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