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(2:) Leth be a Prison V random variable with 2 to be estimated. Using the pior with density function w (7: x. B) = 20178

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(2:") Leth be a Prison V random variable with 2 to be estimated. Using the pior with density function w (7: x. B) = 20178 BX for 270. Show the posterior distribution of I follows a gamma distribution and frind the Bayes procedure d(x ) (b) Let X= Sx, .. Xn) be a random sample from a distribution with puf or pdf foc. ). Dende Fo = (fo (. ): 0coal , focx)= or clo) For X= 0,ly. We know that dex ) = In IFan X + ICHTN) , where X= T Ex Ki 23 minomex over Fo under the squared error loss. Under this loss he also know that the risk of docx) is 4 ( It .In ) 2

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