6. Papers

Moment Inequalities for the Sum of Weighted Independent Identically Distributed

Arkashov Nikolay Sergeevich
Scopus Author ID: 6504506126
1. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
nicky1978@mail.ru
The material was received by the Editorial Board: 15.03.2025

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.

УДК 519.21

Moment Inequalities for the Sum of Weighted Independent Identically Distributed
Read more

Keywords: Moment inequality, Khinchin inequality, independent random variables.


References: Nickolay S. Arkashov Moment Inequalities for the Sum of Weighted Independent Identically Distributed. Mat. Trudy. 2025, 28, № 2. P. 18–27. DOI: 10.25205/1560-750X-2025-28-2-18-27