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Multivariate Bonferroni-type lower bounds
Published online by Cambridge University Press: 14 July 2016
Abstract
We derive multivariate Sobel–Uppuluri–Galambos-type lower bounds for the probability that at least a1 and at least a2, and for the probability that exactly a1 and a2, out of n and N events, occur. The lower bound presented here reduces to a sharper bound than that of Galambos and Lee (1992). Our approach is by way of indicator functions and bivariate binomial moments. A new concept, marginal Bonferroni summation, is introduced in this paper.
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- Copyright © Applied Probability Trust 1996
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