We explore the applicability of the Bayesian Discrepancy Measure, a measure of evidence recently introduced in the literature, in the case of models involving hypotheses on discrete parameters. The approach is flexible, and can be adapted to take into account different distributions also when such non-regularity conditions are met. We investigate more in details the case of hypotheses on the population size parameter for capture-recapture models. We present simulation studies and a data application.

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On the Evidence of a New Bayesian Discrepancy Measure for Discrete Scalar Parameters

  • Silvia Columbu,
  • Francesco Bertolino,
  • Monica Musio

摘要

We explore the applicability of the Bayesian Discrepancy Measure, a measure of evidence recently introduced in the literature, in the case of models involving hypotheses on discrete parameters. The approach is flexible, and can be adapted to take into account different distributions also when such non-regularity conditions are met. We investigate more in details the case of hypotheses on the population size parameter for capture-recapture models. We present simulation studies and a data application.