On a Problem of Robbins

Jiaying Gu, Roger Koenker

Research output: Contribution to journalArticlepeer-review

Abstract

An early example of a compound decision problem of Robbins (1951) is employed to illustrate some features of the development of empirical Bayes methods. Our primary objective is to draw attention to the constructive role that the nonparametric maximum likelihood estimator for mixture models introduced by Kiefer & Wolfowitz (1956) can play in these developments.

Original languageEnglish (US)
Pages (from-to)224-244
Number of pages21
JournalInternational Statistical Review
Volume84
Issue number2
DOIs
StatePublished - Aug 1 2016

Keywords

  • Empirical Bayes
  • Kiefer–Wolfowitz nonparametric maximum likelihood estimator
  • classification
  • false discovery rate
  • mixture models
  • multiple testing

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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