AN IMPROVED LOWER BOUNDS OF UNIVARIATE BONFERRONI-TYPE INEQUALITY

Abstract

Let A1, A2, · · · , An be a sequence of events on a given probability space. Let mn be the number of those Ai's which occur. We establish an improved lower bounds of Univariate BonferroniType inequality by using the linearity of binomial moments S1, S2, S3, S4 and S5.

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