\rho-混合序列部分和的精确渐近性
\rho-mixing sequence| partial sums| precise asymptotic
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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.