Andishe_ye Amari

Andishe_ye Amari

Generalizations of the Borel-Cantelli lemma

Document Type : Original Article

Authors
1 Faculty Member, Statistics Department, Shahid Bahonar University of Kerman, Kerman
2 Master's degree in Statistics, Shahid Bahonar University of Kerman, Kerman
Abstract
In probability theory, the Borel-Cantley lemma is of particular importance; in this article, the general form of the Borel-Cantley lemma is first stated. The first part of this lemma includes the convergence assumption and the second part includes the divergence and independence assumptions. The following is a discussion of generalizations related to the first and second parts of this lemma. In most of the generalizations of the second part, the independence condition, pairwise independence, weakening and elimination of the independence condition have been examined.
Keywords

Volume 23, Issue 1
September 2018
Pages 65-77

  • Receive Date 10 May 2025
  • First Publish Date 10 May 2025
  • Publish Date 23 August 2018