In this paper, the work of the following three aspects: First, the distribution of selected geometric distribution as a conjugate prior distribution, using moment estimation method, given parameters of experience in the square loss Bayes estimates. Second, under the assumption that selection on the Bayes prior distribution as a parameter, the same estimate using moment method, under the given parameters of the experience of loss in the square Bayes estimates. Third, given the experience of Bayes estimator, show that both experience Bayes estimate is asymptotically optimal Bayes estimates of experience.
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