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arXiv · 1801.03122

A detailed treatment of Doob's theorem

Jeffrey W. Miller
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Abstract

Doob's theorem provides guarantees of consistent estimation and posterior consistency under very general conditions. Despite the limitation that it only guarantees consistency on a set with prior probability 1, for many models arising in practice, Doob's theorem is an easy way of showing that consistency will hold almost everywhere. In this article, we give a detailed proof of Doob's theorem.

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Jeffrey W. Miller. 2018-01-09. A detailed treatment of Doob's theorem. https://arxiv.org/abs/1801.03122

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