CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2012, 28(5) 471-478 DOI:      ISSN: 1001-4268 CN: 31-1256

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Moment Complete Convergence for Weighted Sums of $\fn_jvn \100dpi \inline \varphi$-Mixing Random Variables

Zhang Zhihua, Chen Pingyan

Department of Statistics, Xiamen University,  Department of Mathematics, Jinan University

Abstract��

In this paper, the authors discuss the moment
complete convergence for weighted sums of $\fn_jvn \100dpi \inline \varphi$-mixing random
variables, and obtains the sufficient condition for moment complete
convergence of $\fn_jvn \100dpi \inline \varphi$-mixing sequence under some mixing rate
condition, which generalize the result of moment complete
convergence for weighted sums of i.i.d. random variables to
$\fn_jvn \100dpi \inline \varphi$-mixing random variables.

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Corresponding Authors: Zhang Zhihua
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