Short proof of posterior robustness: An illustration of basic ideas in a simple case

Yasuyuki Hamura

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 20, 7298-7310

Abstract: The conditions for Bayesian posterior robustness are examined in recent literature; however, many of the proofs seem long and complicated. In this article, we first summarize some basic lemmas that have been implicitly or explicitly applied. Next, in a simple case, we give a short proof of posterior robustness illustrating their use. As a by-product, a new and practically relevant condition is obtained.

Date: 2024
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DOI: 10.1080/03610926.2023.2263113

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