Zhang Zhihua, Chen Pingyan. Moment Complete Convergence for Weighted Sums of -Mixing Random Variables[J]. Chinese Journal of Applied Probability and Statistics, 2012, 28(5): 471-478.
Citation: Zhang Zhihua, Chen Pingyan. Moment Complete Convergence for Weighted Sums of -Mixing Random Variables[J]. Chinese Journal of Applied Probability and Statistics, 2012, 28(5): 471-478.

Moment Complete Convergence for Weighted Sums of -Mixing Random Variables

  • In this paper, the authors discuss the moment complete convergence for weighted sums of -mixing random variables, and obtains the sufficient condition for moment complete convergence of -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 -mixing random variables.
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