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Inequalities for Functions of the Sum of the Indicators of Events. / Tarasenko, A. S.

In: Siberian Advances in Mathematics, Vol. 28, No. 4, 01.10.2018, p. 303-308.

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Tarasenko AS. Inequalities for Functions of the Sum of the Indicators of Events. Siberian Advances in Mathematics. 2018 Oct 1;28(4):303-308. doi: 10.3103/S105513441804003X

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Tarasenko, A. S. / Inequalities for Functions of the Sum of the Indicators of Events. In: Siberian Advances in Mathematics. 2018 ; Vol. 28, No. 4. pp. 303-308.

BibTeX

@article{cbbac29b6c5148ef80a57c31e6aba318,
title = "Inequalities for Functions of the Sum of the Indicators of Events",
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",
author = "Tarasenko, {A. S.}",
note = "Publisher Copyright: {\textcopyright} 2018, Allerton Press, Inc.",
year = "2018",
month = oct,
day = "1",
doi = "10.3103/S105513441804003X",
language = "English",
volume = "28",
pages = "303--308",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "4",

}

RIS

TY - JOUR

T1 - Inequalities for Functions of the Sum of the Indicators of Events

AU - Tarasenko, A. S.

N1 - Publisher Copyright: © 2018, Allerton Press, Inc.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - 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.

AB - 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.

KW - moment inequalities

KW - sum of indicators

UR - http://www.scopus.com/inward/record.url?scp=85057481081&partnerID=8YFLogxK

U2 - 10.3103/S105513441804003X

DO - 10.3103/S105513441804003X

M3 - Article

VL - 28

SP - 303

EP - 308

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 4

ER -

ID: 17669266