Posterior Predictive Comparisons for the Two-Sample Problem

Paul Blomstedt, Jukka Corander

    Research output: Contribution to journalArticleScientificpeer-review

    2 Citations (Scopus)

    Abstract

    The two-sample problem of inferring whether two random samples have equal underlying distributions is formulated within the Bayesian framework as a comparison of two posterior predictive inferences rather than as a problem of model selection. The suggested approach is argued to be particularly advantageous in problems where the objective is to evaluate evidence in support of equality, along with being robust to the priors used and being capable of handling improper priors. Our approach is contrasted with the Bayes factor in a normal setting and finally, an additional example is considered where the observed samples are realizations of Markov chains.
    Original languageUndefined/Unknown
    Pages (from-to)376–389
    JournalCommunications in Statistics - Theory and Methods
    Volume44
    Issue number2
    DOIs
    Publication statusPublished - 2015
    MoE publication typeA1 Journal article-refereed

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