Moment inequalities for B-valued random vectors with applications to the strong limit theorems

Analogues of the Marcinkiewicz-Zygmund, Rosenthal and Acosta inequalities for Banach space valued random vectors are proved. As an application some results on the complete convergence and the strong law of large numbers are obtained. Some well-known results are improved and extended.

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Year of publication:	2004
Authors:	Shixin, Gan
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 67.2004, 2, p. 111-119
Publisher:	Elsevier
Subject:	(q \| p)-Woyczynski-Assouad sequence Banach spaces of type p p-Smoothable Banach spaces Moment inequality Complete convergence Strong law of large numbers

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005319444