A generalization of the Chung-Erdös inequality for the probability of a 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 a set of events A1,..., An, where 1 ≤ m ≤ n. Bibliography: 6 titles.
Positive Integer Lower Bound Limit Theorem Order Statistic Direct Proof
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