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Hypergeometric tail inequalities: ending the insanity

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arxiv 1311.5939 v1 pith:WINOG7JZ submitted 2013-11-23 math.PR stat.OT

classification math.PRstat.OT
keywords hypergeometricinequalitiestailbrieflydistributionendingincludinginformally
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abstract

The hypergeometric distribution is briefly and informally surveyed, including popular notation, symmetries, and the tail inequalities $Pr[i \ge E[i]+tn] \le e^{-2t^2n}$ and $Pr[i \le E[i]-tn] \le e^{-2t^2n}$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bicriteria Submodular Maximization

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    Near-optimal bicriteria approximation algorithms with matching hardness for constrained submodular maximization, spanning cardinality, knapsack, matroid and convex-set constraints and monotone, general and symmetric o...

  2. An Optimal Sorting Algorithm for Persistent Random Comparison Faults

    cs.DS 2025-08 conditional novelty 6.0 of 10

    RiffleSort sorts n elements with persistent random comparison errors (p<1/4) in O(n log n) time with O(log n) maximum and O(n) total dislocation, with matching lower bounds.

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