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Some Faults of the Bayes Factor in Nonparametric Model Selection
Authors:Cinzia Carota
Affiliation:(1) Dipartimento di Statistica e Matematica Applicata “Diego De Castro”, University of Turin, Piazza Arbarello 8, 10122 Torino, Italy
Abstract:We compare different Bayesian strategies for testing a parametric model versus a nonparametric alternative on the ground of their ability to solve the inconsistency problems arising when using the Bayes factor under certain conditions. A preliminary critical discussion of such an inconsistency is provided.
Keywords:Bayes factor  Fractional Bayes factor  Inconsistency of the Bayes factor  Pearson goodness of fit statistic
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