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The aim of this paper is to introduce higher-order expansions for the Bayesian Discrepancy Measure for testing precise statistical hypotheses on a scalar parameter of interest. Connections with frequentist inference are highlighted when using objective matching priors. Moreover, an extension to the multivariate framework is mentioned.

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Approximate Inference for the Bayesian Discrepancy Measure for Precise Statistical Hypotheses

  • 会议论文

  • 发表日期：

    2025年

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  • Elena Bortolato,
  • Francesco Bertolino,
  • Monica Musio,
  • Laura Ventura

摘要

The aim of this paper is to introduce higher-order expansions for the Bayesian Discrepancy Measure for testing precise statistical hypotheses on a scalar parameter of interest. Connections with frequentist inference are highlighted when using objective matching priors. Moreover, an extension to the multivariate framework is mentioned.