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Most stringent bounds on the probability of the union and intersection of m events for systems partially specified by s1, s2, …sk, 2 ≦ k < m

Published online by Cambridge University Press:  14 July 2016

Seymour M. Kwerel
Seymour M. Kwerel*
Affiliation:
Baruch College, City University of New York
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Abstract

For dependent probability systems of m events partially specified by the quantities Sv, the sum of the probabilities of each of the combinations of v events, v = 1, 2, …, 2 ≦ k < m; this paper develops the most stringent upper and lower bounds on P1, the probability of the union of the m events; and on P[m], the probability of the simultaneous occurrence of the m events.

Keywords

PARTIALLY SPECIFIED DEPENDENT SYSTEMSMOST STRINGENT BOUNDS
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 3 , September 1975 , pp. 612 - 619
Copyright
Copyright © Applied Probability Trust 1975 

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References

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