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引用本文:李永明,李佳.?????????????????????????[J].应用概率统计,2013,29(1):23-30.
作者姓名:李永明  李佳
作者单位:???????????????????????,??????????
基金项目:supported by the National Natural Science Foundation of China(11061029)
摘    要:本文在{ξi}为强混合样本,{ani}是实三角阵列下,得到了一个新的关于线性和n∑i=1aniξi的中心极限定理.并利用该中心极限定理,进一步建立了线性过程部分和的中心极限定理.

关 键 词:中心极限定理  强混合  线性过程

A Note on the Central Limit Theorem for Strong Mixing Sequences
Li Yongming,Li Jia.A Note on the Central Limit Theorem for Strong Mixing Sequences[J].Chinese Journal of Applied Probability and Statisties,2013,29(1):23-30.
Authors:Li Yongming  Li Jia
Institution:School of Mathematics and Computer Science, Shangrao Normal University, School of Science, Nanchang University
Abstract:In this paper, we derive a central limit
theorem for , where is a strong
mixing sequences, and is a triangular array of real
numbers. To show the application of the central limit theorem, we
establish a central limit theorem for a partial sum of a linear
process.
Keywords:Central limit theorem  strong mixing  linear process
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