A Non-Bayesian Approach To Estimation Using Tested Priors

Varghesa T. George, S. K. Katti

Research output: Contribution to journalArticle

Abstract

A two stage sampling scheme for estimating the mean of a distribution, proposed by Katti (1962), is investigated and some of its properties are generalized. The method utilizes subjective information in the analysis, but is still within the classical framework. The generalized mean square error of the estimator is computed as the loss function and is compared with that of the usual classical approach. Modifications are suggested to improve the efficiency of the estimator by incorporating the uncertainty of the subjective information. The procedure, which is referred to as “the Method of Tested Priors” is an alternate way of using subjective information without necessarily agreeing with the philosophical aspect of the Bayesian approach.

Original languageEnglish (US)
Pages (from-to)1629-1639
Number of pages11
JournalCommunications in Statistics - Theory and Methods
Volume17
Issue number5
DOIs
Publication statusPublished - Jan 1 1988
Externally publishedYes

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Keywords

  • efficiency
  • generalized mean square error
  • initial estimate
  • non-central chi equare
  • optimal region
  • prior variance

ASJC Scopus subject areas

  • Statistics and Probability

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