Let Y 4 be the largest order statistic of a sample of size n = 4 from

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Let Y4 be the largest order statistic of a sample of size n = 4 from a distribution with uniform pdf f(x; θ) = 1/θ, 0 < x < θ, zero elsewhere. If the prior pdf of the parameter g(θ) = 2/θ3, 1 < θ < ∞, zero elsewhere, find the Bayesian estimator δ(Y4) of θ, based upon the sufficient statistic Y4, using the loss function |δ(y4) − θ|.

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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