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http://dx.doi.org/10.4134/CKMS.2007.22.2.305

UPPER BOUNDS FOR BIVARIATE BONFERRONI-TYPE INEQUALITIES USING CONSECUTIVE EVENTS  

Lee, Min-Young (DEPARTMENT OF MATHEMATICS DANKOOK UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.22, no.2, 2007 , pp. 305-313 More about this Journal
Abstract
Let $A_1,\;A_2,\;\ldots,\;A_m$ and $B_1,\;B_2,\;\ldots,\;B_n$ be two sequences of events on the same probability space. Let $X=X_m(A)\;and\;Y=Y_n(B)$, respectively, denote the numbers of those $A_i which occur. We establish new bivariate Bonferroni-type inequalities using consecutive events and deduce a known result.
Keywords
bivariate Bonferroni-type inequalities; binomial moment;
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