The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application

We investigate the complete moment convergence of double-indexed weighted sums of martingale differences. Then it is easy to obtain the Marcinkiewicz-Zygmund-type strong law of large numbers of double-indexed weighted sums of martingale differences. Moreover, the convergence of double-indexed weight...

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Bibliographic Details
Main Authors: Wenzhi Yang, Xinghui Wang, Xiaoqin Li, Shuhe Hu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/893906
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