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Limit theorems for identically distributed martingale difference
Authors:Yu Miao  Shuili Zhang
Institution:1. College of Mathematics and Information Science, Henan Normal University, XinXiang, China;2. College of Mathematics and Statistics, Pingdingshan University, Pingdingshan, China
Abstract:Abstract

In this paper, we establish some general results for the strong law of large numbers and the complete convergence of martingale difference which include the well-known Marcinkiewicz–Zygmund strong law and Spitzer complete convergence.
Keywords:Strong law of large numbers  Marcinkiewicz–Zygmund strong law  complete convergence  martingale difference
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