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Empirical Bayes Multiple Decision Problem Under Uniform Distribution U[θ, θ+1]

Empirical Bayes Multiple Decision Problem Under Uniform Distribution U[θ, θ+1]

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This paper is concerned with the empirical Bayes problems of deciding whether the location parameter θ of uniform distribution on [θ, θ0+1) lies in the specified finite interval. We suggest the empirical Bayes multiple decision rules with the rate of convergence to Bayes rule. Some simulation results are given.

1. Introduction 2. Empirical Bayes rule 3. Estimation of density and its derivatives function 4. Convergence Rates 5. Simulation References

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