A lower bound on the probability of a finite union of events
type: Item
instance of: scholarly article
title: A lower bound on the probability of a finite union of events
zbMATH Open document ID: 0960.60017
DOI: 10.1016/S0012-365X(99)00246-0
author: Hongyan Kuai
author: Fady Alajaji
author: Glen Takahara
published in: Discrete Mathematics
publication date: 2000-05-07T00:00:00Z
review text: The aim of the paper is to obtain a new lower bound on the probability \(P(A_1\cup\cdots\cup A_n)\) in terms of only the individual event probabilities \(P(A_i)\), \(i=1,2, \dots,n\), and the pairwise event probabilities \(P(A_i\cap A_j)\), \(i,j=1,2, \dots,n\). The provided formula is shown to be always at least as good as other two similar, previously obtained lower bounds, since these ones are proved to be particular cases of the authors' formula. Two numerical examples illustrate the improved lower bound for \(P(A_1\cup \cdots\cup A_n)\).
reviewed by: Neculai Curteanu
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 1439830
zbMATH Keywords: probability of a finite union of events
zbMATH Keywords: lower bound formula
zbMATH Keywords: probability inequalities on finite additive events
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1439830