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Question: suppose that x1 x2 xn is an iid sample...

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Suppose that X1, X2, ..., Xn is an iid sample from the probability density function (pdf) given by where β > 0 is unknown and m is a known constant larger than 1. (a) Show that T-T(X)-Σ-i Xi is a complete and sufficient statistic for Ux(z|β) : β 〉 0} (b) Show that c) For t > 0, show that the conditional density of Xı, given T- t, is 「( mn 1_21) m(n-1)-1 (d) Show that m- 1 mn - 1 (e) What is the UMVUE for T()1/B?

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