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

DOI10.2307/3213226zbMath0449.60013OpenAlexW4230487601MaRDI QIDQ3896294

Y. S. Sathe, S. P. Shah, M. Pradhan

Publication date: 1980

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213226

zbMATH Keywords

binomial momentslinear estimatesnumber of occurrences

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Combinatorial probability (60C05)

Related Items (12)

New bounds for the probability that at least \(k\)-out-of-\(n\) events occur with unimodal distributions ⋮ Tighter reformulations using classical Dawson and Sankoff bounds for approximating two-stage chance-constrained programs ⋮ Hypergraphs and sharpened sieve inequalities ⋮ Evaluation of a special multivariate gamma distribution function ⋮ Tight Probability Bounds with Pairwise Independence ⋮ Deterministic approximations of probability inequalities ⋮ Upper and lower bounds for the probability that r events occur ⋮ Bonferroni-type inequalities; Chebyshev-type inequalities for the distributions on \([0, n\)] ⋮ Bounding the probability of the union of events by aggregation and disaggregation in linear programs ⋮ Sharp bounds for the probability of union of \(n\) events when \(m\) number of binomial moments are known ⋮ Approximating two-stage chance-constrained programs with classical probability bounds ⋮ The value of shape constraints in discrete moment problems: a review and extension

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