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On Bayesian consistency

  • Yang Xing
  • , Bo Ranneby

    Publication: Book/Report/ProceedingsReportResearch

    Abstract

    We establish a sufficient condition ensuring strong Hellinger consistency of posterior distributions. We also prove a strong Hellinger consistency theorem for the pseudoposterior distributions based on the likelihood ratio with power 0 < alpha < 1, which are introduced by Walker and Hjort (2001). Our result is an extension of their theorem for alpha = 1/2
    Original languageEnglish
    PublisherSwedish University of Agricultural Sciences
    Number of pages14
    Publication statusPublished - 2008

    Publication series

    SeriesResearch report (Centre of Biostochastics)
    Number2008:9
    ISSN1651-8543

    Keywords

    • Hellinger consistency
    • nonparametric model
    • posterior distribution

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