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On uniform continuity of posterior distributions

Author

Listed:
  • Dolera, Emanuele
  • Mainini, Edoardo

Abstract

In the setting of dominated statistical models, we provide conditions yielding strong continuity of the posterior distribution with respect to the observed data. We show some applications, with special focus on exponential models.

Suggested Citation

  • Dolera, Emanuele & Mainini, Edoardo, 2020. "On uniform continuity of posterior distributions," Statistics & Probability Letters, Elsevier, vol. 157(C).
  • Handle: RePEc:eee:stapro:v:157:y:2020:i:c:s0167715219302731
    DOI: 10.1016/j.spl.2019.108627
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    Cited by:

    1. Emanuele Dolera, 2022. "Asymptotic Efficiency of Point Estimators in Bayesian Predictive Inference," Mathematics, MDPI, vol. 10(7), pages 1-27, April.

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