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Matematicheskie Zametki, 2011, Volume 90, Issue 5, Pages 665–671
DOI: https://doi.org/10.4213/mzm8838 (Mi mzm8838) 		 
On Probability Analogs of Rosenthal's Inequality

S. V. Astashkin, K. E. Tikhomirov

Samara State University
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DOI: https://doi.org/10.4213/mzm8838
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: Rosenthal inequality, independent random variables, quasinormed symmetric space, bistochastic matrix, Paley–Zygmund inequality.
Received: 25.08.2010
Revised: 12.04.2011
English version:
Mathematical Notes, 2011, Volume 90, Issue 5, Pages 644–650
DOI: https://doi.org/10.1134/S0001434611110034
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. V. Astashkin, K. E. Tikhomirov, “On Probability Analogs of Rosenthal's Inequality”, Mat. Zametki, 90:5 (2011), 665–671; Math. Notes, 90:5 (2011), 644–650
Citation in format AMSBIB
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