International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1994 / Article

Open Access

Volume 17 |Article ID 948642 | https://doi.org/10.1155/S0161171294000013

Anna Kuczmaszewska, Dominik Szynal, "On complete convergence in a Banach space", International Journal of Mathematics and Mathematical Sciences, vol. 17, Article ID 948642, 14 pages, 1994. https://doi.org/10.1155/S0161171294000013

On complete convergence in a Banach space

Received19 May 1992
Revised01 Jan 1993

Abstract

Sufficient conditions are given under which a sequence of independent random elements taking values in a Banach space satisfy the Hsu and Robbins law of large numbers. The complete convergence of random indexed sums of random elements is also considered.

Copyright © 1994 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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