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Moment Inequalities for the Sum of Weighted Independent Identically Distributed Random Variables Full article

Journal Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126
Output data Year: 2025, Volume: 35, Number: 2, Pages: 93-98 Pages count : 6 DOI: 10.1134/S1055134425020014
Tags moment inequality, Khinchin inequality, independent random variables
Authors Arkashov N.S. 1
Affiliations
1 Sobolev Institute of Mathematics

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2024-0001

Abstract: In the present article, we find lower and upper estimates for the moments of the infinite sum of weighted identically distributed random variables. These estimates generalize the well-known Khinchin inequalities.
Cite: Arkashov N.S.
Moment Inequalities for the Sum of Weighted Independent Identically Distributed Random Variables
Siberian Advances in Mathematics. 2025. V.35. N2. P.93-98. DOI: 10.1134/S1055134425020014 Scopus РИНЦ
Original: Аркашов Н.С.
Моментные неравенства для суммы взвешенных независимых одинаково распределенных случайных величин
Математические труды. 2025. Т.28. №2. С.18–27. DOI: 10.25205/1560-750X-2025-28-2-18-27 РИНЦ
Dates:
Submitted: Jan 18, 2025
Accepted: Apr 30, 2025
Published print: Aug 6, 2025
Published online: Aug 6, 2025
Identifiers:
Scopus: 2-s2.0-105012758856
Elibrary: 82714806
Citing: Пока нет цитирований
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