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非平稳高斯序列最大值与部分和的几乎处处中心极限定理

DOI: 10.11830/ISSN.1000-5013.2015.01.0116, PP. 116-120

Keywords: 几乎处处中心极限定理,最大值与部分和,非平稳高斯序列,收敛性

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Abstract:

假设{Xn,n≥1}为标准化非平稳高斯序列,在协方差和常数列{un,i,1≤i≤n,n≥1}满足适当的条件下,获得了最大值与部分和的几乎处处中心极限定理,并优化了臧庆佩所获得的结果.

References

[1]  BROSAMLER G A.An almost everywhere central limit theorem[J].Math Proc Camb Philos Soc,1988,104(3):561-574.
[2]  SCHATTE P.On strong versions of the central limit theorem[J].Math Nachr,1988,137(1):249-256.
[3]  FAHRNER I,STADTMULLER U.On almost sure central max-limit theorems[J].Statist Probab Lett,1998,37(3):229-236.
[4]  CHENG Shi-hong,PENG Liang,QI Yong-cheng.Almost sure convergence in extreme value theory[J].Math Nachr,1998,190(1):43-50.
[5]  CSAKI E,GONCHIGDANZAN K.Almost sure limit theorems for the maximum of stationary Gaussian Sequences[J].Statist Probab Lett,2002,58(2):195-203.
[6]  DUDZINSKI M.The almost sure central limit theorems in the joint version for the maxima and sums of certain stationary Gaussian sequences[J].Statist Probab Lett,2008,78(4):347-357.
[7]  ZANG Qing-pei.Almost sure central limit theorem for a non-stationary sequence[J].J Inequ Appl,2010,10:1155-1163.
[8]  WU Qun-yin.Almost sure central limit theory for products of sums of partial sums[J].Appl Math J Chinese Univ,2012,27(2):169-180.
[9]  LEADBETTER M R,LINDGREN G,ROOTZEN H.Extremes and related properties of random sequences and processes[M].New York:Springer,1983:84-85.
[10]  吴群英.混合序列的概率极限理论[M].北京:科学出版社,2006:89-90.

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