IMPROVED UPPER BOUNDS OF PROBABILITY

Title & Authors
IMPROVED UPPER BOUNDS OF PROBABILITY
Lee, Min-Young; Jo, Moon-Shik;

Abstract
Let $\small{A_1,{\;}A_2,...,A_n}$ be a sequence of events on a given probability space. Let $\small{m_n}$ be the number of those $\small{A`_{j}s}$ 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 $\small{S_2,n,S_3,n}$ and $\small{S_4,n}$.
Keywords
binomial moment;Bonferroni-type inequality;method of indicators;
Language
English
Cited by
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