Bonferroni-type inequalities and the methods of indicators and polynomials

Author:

Hoppe Fred M.,Seneta Eugene

Abstract

A difficulty in the application [5] of the method of polynomials as exposited by Galambos is investigated. The method, recast as the method of indicators, in a form due originally to Rényi [6], is applied to the situation of non-constant coefficients.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference7 articles.

1. Quelques remarques sur les probabilités d'évènements dépendants;Renyi;J. Math. Pures Appl.,1958

2. Methods for Proving Bonferroni Type Inequalities

3. Inequalities for linear combinations of binomial moments;Galambos;Publ. Math. (Debrecen),1980

4. An inequality for probabilities

5. On Bonferroni-Type Inequalities of the Same Degree for the Probability of Unions and Intersections

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1. Multivariate and Hybrid Upper Bounds;Multivariate Bonferroni-Type Inequalities;2016-04-19

2. Computing bounds for the probability of the union of events by different methods;Annals of Operations Research;2012-10-23

3. Bonferroni-type inequalities and binomially bounded functions;Discrete Mathematics;2010-04

4. On Reliability Bounds via Conditional Inequalities;Journal of Applied Probability;1998-03

5. On Reliability Bounds via Conditional Inequalities;Journal of Applied Probability;1998-03

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