Feldman–Hájek theorem

id: feldman-h-jek-theorem-196-13475591
title: Feldman–Hájek theorem
text: In probability theory, the Feldman–Hájek theorem or Feldman–Hájek dichotomy is a fundamental result in the theory of Gaussian measures. It states that two Gaussian measures μ and ν on a locally convex space X are either equivalent measures or else mutually singular: there is no possibility of an intermediate situation in which, for example, μ has a density with respect to ν but not vice versa. In the special case that X is a Hilbert space, it is possible to give an explicit description of the ci
brand slug: wiki
category slug: encyclopedia
description: Theory in probability theory
original url: https://en.wikipedia.org/wiki/Feldman%E2%80%93H%C3%A1jek_theorem
date created:
date modified: 2023-10-05T04:12:08Z
main entity: {"identifier":"Q60794154","url":"https://www.wikidata.org/entity/Q60794154"}
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integrity: 14

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