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

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  • Shixin, Gan

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.

Suggested Citation

  • Shixin, Gan, 2004. "Moment inequalities for B-valued random vectors with applications to the strong limit theorems," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 111-119, April.
  • Handle: RePEc:eee:stapro:v:67:y:2004:i:2:p:111-119
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