Frequentist tests for Bayesian models
Instrumentation and Methods for Astrophysics
2016-03-16 v3 Data Analysis, Statistics and Probability
Methodology
Abstract
Analogues of the frequentist chi-square and F tests are proposed for testing goodness-of-fit and consistency for Bayesian models. Simple examples exhibit these tests' detection of inconsistency between consecutive experiments with identical parameters, when the first experiment provides the prior for the second. In a related analysis, a quantitative measure is derived for judging the degree of tension between two different experiments with partially overlapping parameter vectors.
Keywords
Cite
@article{arxiv.1511.02363,
title = {Frequentist tests for Bayesian models},
author = {L. B. Lucy},
journal= {arXiv preprint arXiv:1511.02363},
year = {2016}
}
Comments
8 pages, 4 figures. Section 8 rewritten. Additional references. Accepted by Astronomy & Astrophysics