\(\varepsilon\)-contaminated priors in testing point null hypothesis: A procedure to determine the prior probability

DOI10.1016/S0167-7152(99)00137-6zbMath0977.62023OpenAlexW2066129766MaRDI QIDQ1975352

Luis Sanz, Miguel Angel Gómez-Villegas

Publication date: 10 July 2000

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(99)00137-6

zbMATH Keywords

p-valuesposterior probabilitypoint null hypothesisepsilon-contamined class

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Bayesian inference (62F15)

Related Items (13)

A SUITABLE BAYESIAN APPROACH IN TESTING POINT NULL HYPOTHESIS: SOME EXAMPLES REVISITED ⋮ Introducing and analyzing the Bayesian power function as an alternative to the power function for a test ⋮ Asymptotic relationships between posterior probabilities and \(p\)-values using the hazard rate. ⋮ Bayesian Analysis of Contingency Tables ⋮ A Bayesian Analysis for the Homogeneity Testing Problem Using ϵ–Contaminated Priors ⋮ \(\varepsilon\)-contaminated priors in contingency tables ⋮ The multivariate point null testing problem: a Bayesian discussion ⋮ \(r\times s\) tables from a Bayesian viewpoint ⋮ Reconciling Classical and Prior PredictiveP-Values in the Two-Sided Location Parameter Testing Problem ⋮ Bayesian Model Selection: Measuring the χ²Discrepancy with the Uniform Distribution ⋮ A Bayesian analysis for the multivariate point null testing problem ⋮ A Bayesian Test for the Mean of the Power Exponential Distribution ⋮ Computing Probabilities of Type I Error and Type II Error of Sequential Bayesian Procedures for Testing One-Sided Hypotheses

Cites Work

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• Ranges of posterior measures for priors with unimodal contaminations
• Bayesianly justifiable and relevant frequency calculations for the applied statistician
• Statistical decision theory and Bayesian analysis. 2nd ed
• Robust Bayes and empirical Bayes analysis with \(\epsilon\)-contaminated priors
• Convergence of posterior odds
• An overview of robust Bayesian analysis. (With discussion)
• Unified frequentist and Bayesian testing of a precise hypothesis. With comments by Dennis V. Lindley, Thomas A. Louis and David Hinkley and a rejoinder by the authors
• Reconciling Bayesian and frequentist evidence in the point null testing problem
• Bayes factor in testing precise hypotheses
• Doing What Comes Naturally: Interpreting a Tail Area as a Posterior Probability or as a Likelihood Ratio
• Reconciling Bayesian and Frequentist Evidence in the One-Sided Testing Problem
• Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence
• Range of posterior measures for priors with arbitrary contaminations
• The Weighted Likelihood Ratio, Sharp Hypotheses about Chances, the Order of a Markov Chain

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