Bayesian prediction of a density function in terms of e-mixture

Takemi Yanagimoto, Toshio Ohnishi

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The optimum Bayesian predictor under the e-divergence loss is proposed and discussed. Notable dualistic structure is observed between the proposed predictor and the optimum predictor under the m-divergence loss, the latter of which is dominantly discussed in the existing literature. An advantage of the proposed optimum predictor is that it is estimative, when the sampling density is in the exponential family. Potential advantages of the proposed predictor over its dual one are discussed, which include the shrinkage estimator and the Bayesian model selection criterion DIC (deviance information criterion). Further, we emphasize potential usefulness of the use of Jeffreys' prior.

Original languageEnglish
Pages (from-to)3064-3075
Number of pages12
JournalJournal of Statistical Planning and Inference
Volume139
Issue number9
DOIs
Publication statusPublished - Sep 1 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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