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On almost sure convergence for sums of stochastic sequence. (English) Zbl 07539735

Summary: In this work we discuss almost sure convergence for sums of arbitrarily dependent stochastic sequence under different conditions of Chung’s type. Our approach is based on the stopping time technique and the theorem of convergence for martingale difference sequence. Meanwhile, the results here include some relevant classical conclusions.

MSC:

60F15 Strong limit theorems
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