[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2003.18.4.725

IMPROVED UPPER BOUNDS OF PROBABILITY

Lee, Min-Young (Department of Mathematics Dankook University)
Jo, Moon-Shik (Department of Mathematics Dankook University)

Publication Information

Communications of the Korean Mathematical Society / v.18, no.4, 2003 , pp. 725-736 More about this Journal

Abstract

Let $A_1,{\;}A_2,...,A_n$ be a sequence of events on a given probability space. Let $m_n$ be the number of those $$A$ which occur. Upper bounds of P($m_n{\;}\geq{\;}1) are obtained by means of probability of consecutive terms which reduce the number of terms in binomial moments $S_2,n,S_3,n$ and $S_4,n$ .

Keywords

binomial moment; Bonferroni-type inequality; method of indicators;

Citations & Related Records

Reference

1	An improved Bonferroni inequality and applications / [ K.J.Worsley ] / Biometrika DOI ScienceOn
2	Tests of the Kolmogorov-Smirnov type for exponential date with unknown scale and related problems / [ B.J.Margolin;W.Maurer ] / Biometrika DOI ScienceOn
3	An upper bound for the probability of a union / [ D.Hunter ] / J. Appl. Prob. DOI ScienceOn
4	/ [ J.Bukszar;A.Prekopa ] / Probability Bounds with cherry trees
5	Bounds for the probability of a union, with applications / [ E.G.Kounias ] / Ann. Math. Stat. DOI ScienceOn
6	On the sieve methods in probability theoryⅠ / [ J.Galambos ] / Studia Sci. Math., Hungar.
7	Bonferroni-type inequalities / [ M.Y.Lee ] / Aequationes Mathematicae DOI
8	A general method for proving theorems in probability theory and some of its applications / [ A.Renyi ] / Original in Hungarian. Translated into English in : Selected Papers of A. Renyi
9	Bound on the probability of the union and intersection of m events / [ S.M.Kwerel ] / Adv. Appl. Prob. DOI ScienceOn