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Multivariate product-type lower bounds
Published online by Cambridge University Press: 14 July 2016
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.
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- Copyright © Applied Probability Trust 2001
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Current address: Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA. Email address: jchen@bgnet.bgsu.edu
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