Let A1, A2,...,Am and Bl, B2 ..... B. be two sequences of events on the same probability space. Let Xm and Y,, respectively, be the numbers of those At and Bj which occur. Improved upper bounds and lower bounds of yt,i = P(X~,(A)>>-1, Y.(B)~> 1) in terms of the bivariate binomial moments Sij are obt
β¦ LIBER β¦
Bivariate Bonferroni inequalities
β Scribed by Min-Young Lee
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 213 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0001-9054
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be two sequences of events, and let & N (A) and & M (B) be the number of those A i and B j , respectively, that occur. We prove that Bonferroni-type inequalities for P(& N (A) u, & M (B) v), where u and v are positive integers, are valid if and only if they are valid for a two dimensional triangular