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By using Doob's martingale convergence theorem, this paper presents a class of strong limit theorems for arbitrary stochastic sequence. Chow's two strong limit theorems for martingale-difference sequence and Love's and Petrov's strong limit theorems for independent random variables are the particular cases of the main results. Copyright © 2010 Xiaosheng Wang and Haiying Guo.

Convergence Theorems for Partial Sums of Arbitrary Stochastic Sequences