Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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UPPER BOUNDS FOR BIVARIATE BONFERRONI-TYPE INEQUALITIES USING CONSECUTIVE EVENTS

  • Published : 2007.04.30
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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 $A_i's\;and\;B_j's$ which occur. We establish new bivariate Bonferroni-type inequalities using consecutive events and deduce a known result.

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References

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