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ρ-混合序列矩收敛的渐近性质 被引量:3

Asymptotic Properties of the Moment Convergence for p-mixing Sequence
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摘要 设{X,x_n,n≥1}是均值为零的严平稳p-混合随机变量序列,在适当的条件下,我们获得了类似独立同分布随机变量序列的结果. Let {x, xn, n ≥ 1} be a strictly stationary sequence of ρ-mixing random vari- ables with mean zeros, if some conditions are satisfied, we obtain some similar results with i.i.d, random variables.
出处 《应用数学学报》 CSCD 北大核心 2016年第3期452-462,共11页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(No:11361019) 广西重点项目自然科学基金(2013GXNSFDA019001)资助项目
关键词 Ρ混合序列 渐近性质 完全矩收敛 ρ-mixing random variables asymptotic property complete moment convergence
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  • 1Wei HUANG Ye JIANG Li Xin ZHANG.Precise Asymptotics in the Baum-Katz and Davis Laws of Large Numbers of ρ-mixing Sequences[J].Acta Mathematica Sinica,English Series,2005,21(5):1057-1070. 被引量:10
  • 2Alam K, Saxena K M L. Positive dependence in multivariate distributions. Comm Statist Theor Meth, 1981, 10A(12): 1183-1196.
  • 3Barlow R E, Proschan F. Statistical Theory of Reliability and Life Testing: Probability Models. Silver Spring: McArdle Press, 1981.
  • 4Billingsley P. Convergence of Probability Measure. New York: Wiley, 1968.
  • 5Chow Y S. On the rate of moment convergence of sample sums and extremes. Bull Inst Math Acad Sinica, 1988, 16(3): 177-201.
  • 6Cox J T, Grimmett G. Central limit theorems for associated random variables and the percolation model. Ann Probab, 1984, 12(2): 514-528.
  • 7Hsu P L, Robbins H. Complete convergence and the law of large numbers. Proc Nat Acm:l Sci USA, 1947, 33(2): 25-31.
  • 8Joag-Dev K, Proschan F. Negative association of random variables with applications. Ann Statist, 1983, 11(1): 286-295.
  • 9Liang H Y. Complete convergence for weighted sums of NA random variabls. Statist Probab Lett, 2000, 48(4): 317-325.
  • 10Liang H Y, Su C. Complete convergence for weighted sums of NA sequences. Statist Probab Lett, 1999, 45(1): 85-95.

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