An Improved First Borel-Cantelli Lemma

Abstract

An improved First Borel-Cantelli Lemma incorporating dependency structure between subsets of events is presented and applied to an example where the First Borel-Cantelli Lemma can't be used. Analogies to improved Bonferroni upper bounds are given.

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Document Details

Document Type
Technical Report
Publication Date
Jul 31, 1991
Accession Number
ADA239489

Entities

People

  • Donald R. Hoover

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • California
  • Contracts
  • Governments
  • Inequalities
  • Military Research
  • Probability
  • Sequences
  • Standards
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics