Let X 1 ,X 2 , . . . , X n denote a random sample from
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Let X1,X2, . . . , Xn denote a random sample from a Poisson distribution with mean θ, 0 < θ < ∞. Let Y = Σn1 Xi. Use the loss function L[θ, δ(y)] = [θ−δ(y)]2. Let θ be an observed value of the random variable Θ. If Θ has the prior pdf h(θ) = θα−1e−θ/β/Γ(α)βα, for 0 < θ < ∞, zero elsewhere, where α > 0, β >0 are known numbers, find the Bayes solution δ(y) for a point estimate for θ.
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Related Book For
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
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