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Please kindlyhelp me solve this stat question. Suppose Yl, ..., Y, are i.i.d. Poisson(A). Consider the testing problem: Ho : 1 = do VS HI

Please kindlyhelp me solve this stat question.

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Suppose Yl, ..., Y, are i.i.d. Poisson(A). Consider the testing problem: Ho : 1 = do VS HI : d # do. (a) Using the same notation as in the textbook, show that the (rescaled) log-likelihood ratio statistic is given by -2log A(Y) = 2n (do - A) - Alog (do/x) , where A = _; Yi. (b) Using Taylor expansion, prove the Wilk's phenomenon directly: -2log )(Y) -+d xi

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