Bounds on the probability of the union and intersection of m events
- 1 June 1975
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 7 (2) , 431-448
- https://doi.org/10.2307/1426084
Abstract
For dependent probability systems of m events partially specified only by the quantities S1, the sum of the probabilities of the m individual events; S2, the sum of the probabilities of each of the (m) pairs of events and S3 the sum of the probabilities of each of the (m 3) combinations of three events; 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
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