Author:
Block Henry W.,Chen Tuhao
Abstract
Univariate probability inequalities have received extensive attention. It has been shown that under certain conditions, product-type bounds are valid and sharper than summation-type bounds. Although results concerning multivariate inequalities have appeared in the literature, product-type bounds in a multivariate setting have not yet been studied. This note explores an approach using graph theory and linear programming techniques to construct product-type lower bounds for the probability of the intersection among unions of k sets of events.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
2 articles.
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1. Multivariate and Hybrid Upper Bounds;Multivariate Bonferroni-Type Inequalities;2016-04-19
2. A generator for explicit univariate lower bounds;Statistics & Probability Letters;2005-12