Bonferroni inequalities and deviations of discrete distributions

Bonferroni inequalities and deviations of discrete distributions

In the paper we first show how to convert a generalized Bonferroni-type inequality into an estimation for the generating function of the number of occurring events, then we give estimates for the deviation of two discrete probability distributions in terms of the maximum distance between their gener...

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Veröffentlicht in:Journal of applied probability 1996-03, Vol.33 (1), p.115-121
1. Verfasser: MORI, T. F
Format: Artikel
Sprache:eng
Schlagworte:
Convexity
Discrete probability distributions
Distribution
Distribution theory
Exact sciences and technology
Generating function
Integers
Mathematical theorems
Mathematics
Probability
Probability and statistics
Probability theory
Probability theory and stochastic processes
Research Papers
Sciences and techniques of general use
Studies
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Beschreibung
Zusammenfassung:In the paper we first show how to convert a generalized Bonferroni-type inequality into an estimation for the generating function of the number of occurring events, then we give estimates for the deviation of two discrete probability distributions in terms of the maximum distance between their generating functions over the interval [0, 1].
ISSN:0021-9002
1475-6072
DOI:10.2307/3215268