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Siberian Advances in Mathematics

, Volume 28, Issue 4, pp 303–308 | Cite as

Inequalities for Functions of the Sum of the Indicators of Events

  • A. S. TarasenkoEmail author
Article
  • 12 Downloads

Abstract

We obtain moment inequalities for the sum of the indicators of events and an upper estimate for a convex function of such a sum. Our results generalize inequalities that were obtained earlier for moment characteristics of the sojourn time of a random walk on a half-axis.

Keywords

moment inequalities sum of indicators 

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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia

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