付锐, 费丹丹, 付宗魁, 王改霞. \rho-混合序列部分和的精确渐近性[J]. 应用概率统计, 2019, 35(4): 425-432. DOI: 10.3969/j.issn.1001-4268.2019.04.007
引用本文: 付锐, 费丹丹, 付宗魁, 王改霞. \rho-混合序列部分和的精确渐近性[J]. 应用概率统计, 2019, 35(4): 425-432. DOI: 10.3969/j.issn.1001-4268.2019.04.007
FU Rui, FEI Dandan, FU Zongkui, WANG Gaixia. \rho-mixing sequence| partial sums| precise asymptotic[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(4): 425-432. DOI: 10.3969/j.issn.1001-4268.2019.04.007
Citation: FU Rui, FEI Dandan, FU Zongkui, WANG Gaixia. \rho-mixing sequence| partial sums| precise asymptotic[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(4): 425-432. DOI: 10.3969/j.issn.1001-4268.2019.04.007

\rho-混合序列部分和的精确渐近性

\rho-mixing sequence| partial sums| precise asymptotic

  • 摘要: 设\X_n;\,n\ge1\是均值为零的严平稳\rho-混合序列, 利用\rho-混合序列的弱收敛定理及概率不等式,在适当的矩条件下, 得到了\rho-混合序列部分和的精确渐近性的一般结果.

     

    Abstract: Let X_n;\,n\ge1 be a sequence of strictly stationary \rho-mixing random variables with zero mean and finite variance. Using the weak convergence theorem and probability inequalities of \rho-mixing sequence, under some proper conditions, we obtained general laws of precise asymptotics for partial sums of \rho-mixing sequence.

     

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