一个强混合样本中心极限定理的注记

李永明; 李佳

李永明, 李佳. 一个强混合样本中心极限定理的注记[J]. 应用概率统计, 2013, 29(1): 23-30.

引用本文:

李永明, 李佳. 一个强混合样本中心极限定理的注记[J]. 应用概率统计, 2013, 29(1): 23-30.

Li Yongming, Li Jia. A Note on the Central Limit Theorem for Strong Mixing Sequences[J]. Chinese Journal of Applied Probability and Statistics, 2013, 29(1): 23-30.

Citation:

Li Yongming, Li Jia. A Note on the Central Limit Theorem for Strong Mixing Sequences[J]. Chinese Journal of Applied Probability and Statistics, 2013, 29(1): 23-30.

一个强混合样本中心极限定理的注记

李永明,
李佳

A Note on the Central Limit Theorem for Strong Mixing Sequences

Li Yongming,
Li Jia

摘要

摘要: 本文在为强混合样本, 是实三角阵列下, 得到了一个新的关于线性和的中心极限定理. 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.

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.

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