Lévy's continuity theorem

id: l-vy-s-continuity-theorem-276-13815044
title: Lévy's continuity theorem
text: In probability theory, Lévy’s continuity theorem, or Lévy's convergence theorem, named after the French mathematician Paul Lévy, connects convergence in distribution of the sequence of random variables with pointwise convergence of their characteristic functions. This theorem is the basis for one approach to prove the central limit theorem and is one of the major theorems concerning characteristic functions.
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category slug: encyclopedia
description: Result in probability theory
original url: https://en.wikipedia.org/wiki/L%C3%A9vy%27s_continuity_theorem
date created:
date modified: 2023-05-01T16:43:05Z
main entity: {"identifier":"Q1966978","url":"https://www.wikidata.org/entity/Q1966978"}
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