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On almost sure convergence for sums of stochastic sequence

Zhong-zhi Wang, Yun Dong and Fangqing Ding

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 14, 3609-3621

Abstract: 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.

Date: 2019
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DOI: 10.1080/03610926.2018.1478102

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