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On complete convergence and complete moment convergence for weighted sums of -mixing random variables. 2018

Pingyan Chen, and Soo Hak Sung
1Department of Mathematics, Jinan University, Guangzhou, China.

Let , , and with . Let be an array of constants satisfying , and let be a sequence of identically distributed -mixing random variables. For each of the three cases , , and , we provide moment conditions under which We also provide moment conditions under which where . Our results improve and generalize those of Sung (Discrete Dyn. Nat. Soc. 2010:630608, 2010) and Wu et al. (Stat. Probab. Lett. 127:55-66, 2017).

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