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

Gan Shixin

Statistics & Probability Letters, 2004, vol. 67, issue 2, 111-119

Abstract: 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.

Keywords: (q; p)-Woyczynski-Assouad sequence Banach spaces of type p p-Smoothable Banach spaces Moment inequality Complete convergence Strong law of large numbers (search for similar items in EconPapers)
Date: 2004
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