\rho-mixing sequence| partial sums| precise asymptotic

FU Rui; FEI Dandan; FU Zongkui; WANG Gaixia

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

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-mixing sequence| partial sums| precise asymptotic

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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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\rho-mixing sequence| partial sums| precise asymptotic

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