Unbiasedness as the dual of being bayes

Siamak Noorbaloochi, Glen Meeden

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this note we define the notion of unbiasedness for a decision function for an arbitrary loss function. This is a generalization of Lehmann’s (1951) definition. We show that this notion of unbiasedness is a dual to the notion of being Bayes; that is, if the role of the random variable and the parameter is interchanged, then unbiasedness is equivalent to being Bayes and vice versa. Some consequences of this fact are discussed. © 1983 Taylor & Francis Group, LLC.

Original languageEnglish (US)
Pages (from-to)619-623
Number of pages5
JournalJournal of the American Statistical Association
Volume78
Issue number383
DOIs
StatePublished - 1983

Keywords

  • Bayes
  • Loss function
  • Unbiasedness

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