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Inequalities for the probability of the occurrence of at least m out of n events
Y. S. Sathe, Meena Pradhan, S. P. Shah
Journal:

Journal of Applied Probability / Volume 17 / Issue 4 / December 1980

Published online by Cambridge University Press:

14 July 2016, pp. 1127-1132

Print publication:

December 1980
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Given n events A1, A2, · ··, An, bounds are obtained for the probability of the occurrence of at least m out of the n events. The bounds are linear in terms of S1 and S2 where S1 = Σi P(Ai) and S2 = Σi<jΡ (Α i,Α j). The bounds are illustrated with an example. For m = 1 the bounds are the same as the best known linear bounds in terms of S1 and S2.

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Inequalities for the probability of the occurrence of at least m out of n events