An Extremal Property of Self-Normalized Sums for SymmetricSummands

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

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Publication Details

Journal
Siberian Advances in Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1055134424040059
Primary Topic
Probability and Risk Models
Type
article
Field-Weighted Citation Impact
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article

An Extremal Property of Self-Normalized Sums for SymmetricSummands

I. S. Borisov
Siberian Advances in Mathematics
Probability and Risk Models
article

An Extremal Property of Self-Normalized Sums for SymmetricSummands

I. S. Borisov
article en

Abstract

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

Siberian Advances in MathematicsVol. 34(4)
Sobolev Institute of Mathematics (RU)
Reduced inequalities
Openalex Percentile: Top 69%
Probability and Risk Models
DOIOpen Access PDFOpenAlex
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An Extremal Property of Self-Normalized Sums for SymmetricSummands — I. S. Borisov · Siberian Advances in Mathematics (2024) | TGRS Research Map | TGRS