Inequalities for functions of the sum of the indicators of events

A. S. Tarasenko<sup>ab

a</sup> Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
^b Novosibirsk State University, Novosibirsk, 630090 Russia

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.

Key words: moment inequalities, sum of indicators.

UDC: 519.21

Received: 18.12.2017

DOI: 10.17377/mattrudy.2018.21.108

 English version: Siberian Advances in Mathematics, 2018, 28:4, 303–308

Bibliographic databases:

• 
•