On probability analogs of Rosenthal's inequality

S. V. Astashkin; K. E. Tikhomirov

doi:10.1134/S0001434611110034

On probability analogs of Rosenthal's inequality

S. V. Astashkin
, K. E. Tikhomirov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain probability combinatorial inequalities for independent random variables, strengthening the well-known Rosenthal inequality. As a corollary, we prove that the generalized Rosenthal inequality for identically distributed independent functions remains valid in the case of quasinormed symmetric spaces.

Original language	English (US)
Pages (from-to)	644-650
Number of pages	7
Journal	Mathematical Notes
Volume	90
Issue number	5-6
DOIs	https://doi.org/10.1134/S0001434611110034
State	Published - Dec 2011

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Paley-Zygmund inequality
Rosenthal inequality
bistochastic matrix
independent random variables
quasinormed symmetric space

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10.1134/S0001434611110034

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title = "On probability analogs of Rosenthal's inequality",

abstract = "We obtain probability combinatorial inequalities for independent random variables, strengthening the well-known Rosenthal inequality. As a corollary, we prove that the generalized Rosenthal inequality for identically distributed independent functions remains valid in the case of quasinormed symmetric spaces.",

keywords = "Paley-Zygmund inequality, Rosenthal inequality, bistochastic matrix, independent random variables, quasinormed symmetric space",

author = "Astashkin, \{S. V.\} and Tikhomirov, \{K. E.\}",

note = "Funding Information: This work was supported by the Ministry of Education and Science of the Russian Foundation (grant no. 3341).",

year = "2011",

month = dec,

doi = "10.1134/S0001434611110034",

language = "English (US)",

volume = "90",

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journal = "Mathematical Notes",

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T1 - On probability analogs of Rosenthal's inequality

AU - Astashkin, S. V.

AU - Tikhomirov, K. E.

N1 - Funding Information: This work was supported by the Ministry of Education and Science of the Russian Foundation (grant no. 3341).

PY - 2011/12

Y1 - 2011/12

N2 - We obtain probability combinatorial inequalities for independent random variables, strengthening the well-known Rosenthal inequality. As a corollary, we prove that the generalized Rosenthal inequality for identically distributed independent functions remains valid in the case of quasinormed symmetric spaces.

AB - We obtain probability combinatorial inequalities for independent random variables, strengthening the well-known Rosenthal inequality. As a corollary, we prove that the generalized Rosenthal inequality for identically distributed independent functions remains valid in the case of quasinormed symmetric spaces.

KW - Paley-Zygmund inequality

KW - Rosenthal inequality

KW - bistochastic matrix

KW - independent random variables

KW - quasinormed symmetric space

UR - https://www.scopus.com/pages/publications/84855169368

UR - https://www.scopus.com/pages/publications/84855169368#tab=citedBy

U2 - 10.1134/S0001434611110034

DO - 10.1134/S0001434611110034

M3 - Article

AN - SCOPUS:84855169368

SN - 0001-4346

VL - 90

SP - 644

EP - 650

JO - Mathematical Notes

JF - Mathematical Notes

IS - 5-6

ER -

On probability analogs of Rosenthal's inequality

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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