Statistics Papers

Document Type

Journal Article

Date of this Version

2013

Publication Source

Journal of the American Statistical Association

Volume

108

Issue

502

Start Page

741

Last Page

749

DOI

10.1080/01621459.2013.771582

Abstract

The compound decision problem for a vector of independent Poisson random variables with possibly different means has a half-century-old solution. However, it appears that the classical solution needs smoothing adjustment. We discuss three such adjustments. We also present another approach that first transforms the problem into the normal compound decision problem. A simulation study shows the effectiveness of the procedures in improving the performance over that of the classical procedure. A real data example is also provided. The procedures depend on a smoothness parameter that can be selected using a nonstandard cross-validation step, which is of independent interest. Finally, we mention some asymptotic results.

Copyright/Permission Statement

This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of the American Statistical Association on 06 Feb 2013, available online: http://wwww.tandfonline.com/10.1080/01621459.2013.771582.

Keywords

cross-validation, empirical Bayes, NPMLE, Robbins

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Date Posted: 27 November 2017