Juárez, Miguel A. (2005) Objective Bayes estimation and hypothesis testing : the reference-intrinsic approach. Working Paper. University of Warwick. Centre for Research in Statistical Methodology, Coventry.

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Abstract

Conventional frequentist solutions to point estimation and hypothesis testing typically need ad hoc modifications when dealing with non-regular models, and may prove to be misleading. The decision oriented objective Bayesian approach to point estimation using conventional loss functions produces noninvariant solutions, and conventional Bayes factors suffer from Jeffreys-Lindley- Bartlett paradox. In this paper we illustrate how the use of the intrinsic discrepancy combined with reference analysis produce solutions to both point estimation and precise hypothesis testing, which are shown to overcome these difficulties. Specifically, we illustrate the methodology with some non-regular examples. The solutions obtained are compared with some previous results.

Item Type:	Working or Discussion Paper (Working Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Fix-point estimation, Statistical hypothesis testing
Series Name:	Working papers
Publisher:	University of Warwick. Centre for Research in Statistical Methodology
Place of Publication:	Coventry
Date:	2005
Volume:	Vol.2005
Number:	No.14
Number of Pages:	28
Status:	Not Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/35588

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