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Zbl 1251.60025
Wang, Xuejun; Li, Xiaoqin; Yang, Wenzhi; Hu, Shuhe
On complete convergence for arrays of rowwise weakly dependent random variables. (English)
[J] Appl. Math. Lett. 25, No. 11, 1916-1920 (2012). ISSN 0893-9659

Summary: Some sufficient conditions for complete convergence for arrays of rowwise $\tilde \rho$-mixing random variables are presented without the assumption of identical distributions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of $\tilde \rho$-mixing random variables is obtained.

MSC 2000:: *60F15 Strong limit theorems

Keywords: arrays of rowwise $\tilde \rho$-mixing random variables; Marcinkiewicz; Zygmund type strong law of large numbers; complete convergence

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Zentralblatt MATH Berlin [Germany]