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A note on the background of several Bonferroni–Galambos-type inequalities

Published online by Cambridge University Press:  14 July 2016

Tamás F. Móri  and
Gábor J. Székely
Tamás F. Móri*
Affiliation:
L. Eötvös University
Gábor J. Székely*
Affiliation:
L. Eötvös University
*
∗ Postal address: L. Eötvös University, Mathematical Institute, Budapest, Múzeum krt. 6–8, H-1088, Hungary.
∗ Postal address: L. Eötvös University, Mathematical Institute, Budapest, Múzeum krt. 6–8, H-1088, Hungary.
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Abstract

Let A1, A2, · ··, An be events on a probability space. Denote by Sk the kth binomial moment of the number Mn of those A 's which occur. Sharp lower and upper bounds of Sm will be given in terms of Sk and Sl. The same method can be applied for proving Bonferroni–Galambos-type inequalities.

Keywords

BINOMIAL MOMENTSCONVEX INEQUALITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 22 , Issue 4 , December 1985 , pp. 836 - 843
Copyright
Copyright © Applied Probability Trust 1985 

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