A probabilistic version of Rosenthal’s inequality-Reference-Cited by-同舟云学术

A probabilistic version of Rosenthal’s inequality

Published:2013-06-25 Issue:10 Volume:141 Page:3539-3547
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Astashkin S.,Tikhomirov K.

Abstract

We prove some probabilistic relations between sums of independent random variables and the corresponding disjoint sums, which strengthen the well-known Rosenthal inequality and its generalizations. As a consequence we extend the inequalities proved earlier by Montgomery-Smith and Junge for rearrangement invariant spaces to the quasi-normed case.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-10/S0002-9939-2013-11713-2/S0002-9939-2013-11713-2.pdf

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