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Empirical Bayes Two Action Problem of the Mean of Normal Distribution

Empirical Bayes Two Action Problem of the Mean of Normal Distribution

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This paper is concerned with the empirical Bayes problems of deciding whether the mean θ of normal distribution of known variance lies in a specified finite interval. We suggest the empirical Bayes rule with convergence rates to optimal rule. The procedure depends on the estimation of a marginal density and its derivatives using the characteristic function

Abstract 1.Introduction 2.Empirical Bayes rule 3.Estimation problem of density and its derivatives fuction 4.Convergence Rates References

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