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

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  • Yasuyuki Hamura

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.

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  • Yasuyuki Hamura, 2024. "Short proof of posterior robustness: An illustration of basic ideas in a simple case," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(20), pages 7298-7310, October.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:20:p:7298-7310
    DOI: 10.1080/03610926.2023.2263113
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