RUS  ENG
Full version
JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2024 Volume 27, Number 4, Pages 19–25 (Mi mt718)

An extremal property of self-normalized sums for symmetric random variables

I. S. Borisov

Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

Abstract: Sharp moment inequalities are obtained for a class of analytic functions of self-normalized sums of independent symmetrically distributed random variables.

Key words: self-normalized sums of independent random variables, symmetric distributions, moment inequalities.

UDC: 519.21

Received: 07.09.2024
Revised: 10.10.2024
Accepted: 30.10.2024

DOI: 10.25205/1560-750X-2024-27-4-19-25


 English version:
Siberian Advances in Mathematics, 2024, 34:4, 294–297


© Steklov Math. Inst. of RAS, 2026