Evidence and credibility: Full Bayesian signifiance test for precise hypotheses
type: Item
instance of: scholarly article
title: Evidence and credibility: Full Bayesian signifiance test for precise hypotheses
zbMATH Open document ID: 0993.62028
author: Carlos A. B. Pereira
author: Julio Michael Stern
published in: Entropy
publication date: 2002-09-10T00:00:00Z
full work available at URL: list99.htm
review text: Summary: A Bayesian measure of evidence for precise hypotheses is presented. The intention is to give a Bayesian alternative to significance tests or, equivalently, to p-values. In fact, a set is defined in the parameter space and the posterior probability, its credibility, is evaluated. This set is the `highest posterior density region' that is `tangent' to the set that defines the null hypothesis. Our measure of evidence is the complement of the credibility of the `tangent' region.
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 65C60
zbMATH DE Number: 1796618
zbMATH Keywords: Bayes factor
zbMATH Keywords: numerical integration
zbMATH Keywords: global optimization
zbMATH Keywords: p-value
zbMATH Keywords: posterior density
Wikidata QID: Q58636094
MaRDI profile type: Publication
OpenAlex ID: W2122986822
cites work: Q4323160
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cites work: Introduction to global optimization
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cites work: Exact tests for equality of two proportions: fisher v. bayes
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cites work: Q3870122
DBLP publication ID: journals/entropy/PereiraS99
DOI: 10.3390/E1040099
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description: scientific article; zbMATH DE number 1796618