Geodesic
A generalization of the Chung-Erdös inequality for the probability of the union of events
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 11, Tome 341 (2007), pp. 147-150 Cet article a éte moissonné depuis la source Math-Net.Ru

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A generalization of the Chung–Erdös inequality for the probability of the union of arbitrary events is proved using some lower bounds for tail probabilities. We present a lower bound for the probability of appearance of at least $m$ events from the set of events $A_1,\dots,A_n$ where $1\le m\le n$. 
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     author = {V. V. Petrov},
     title = {A generalization of the {Chung-Erd\"os} inequality for the probability of the union of events},
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}
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V. V. Petrov. A generalization of the Chung-Erdös inequality for the probability of the union of events. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 11, Tome 341 (2007), pp. 147-150. http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a9/

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