Let X 1 ,X 2 , . . .,X n denote a random sample from a distribution
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Let X1,X2, . . .,Xn denote a random sample from a distribution that is N(θ, σ2), where −∞ < θ < ∞ and σ2 is a given positive number. Let Y = ‾X denote the mean of the random sample. Take the loss function to be L[θ, δ(y)] = |θ−δ(y)|. If θ is an observed value of the random variable Θ that is N(μ, τ2), where τ2 > 0 and μ are known numbers, find the Bayes solution δ(y) for a point estimate 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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