On inequalities for values of first jumps of distribution functions and Hölder’s inequality

Andrei N. Frolov

Statistics & Probability Letters, 2017, vol. 126, issue C, 150-156

Abstract: We derive moments inequalities for values of jumps of distribution functions at the infimum points for bounded discrete random variables. We discuss relationships of these inequalities with bounds for probabilities of unions of events and the Cauchy–Bunyakovski and Hölder inequalities.

Keywords: Bonferroni inequalities; Chung–Erdős inequality; Bounds for probabilities of unions of events; Jumps of distribution function; Hölder inequality; Borel–Cantelli lemma (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2017.03.002

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