Estimates for probabilities of independent events and infinite series

2016/09/28 by Grahl, Jürgen, Nevo, Shahar
#40A05 #60-01 #60A05 #97K50 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1609.08924

Abstract

This paper deals with (finite or infinite) sequences of arbitrary independent events in some probability space. We find sharp lower bounds for the probability of a union of such events when the sum of their probabilities is given. The results have parallel meanings in terms of infinite series.

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