| 平稳正态序列向量最大、最小值的几乎处处中心极限定理 |
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| 引用本文： | 陈志成,张红云.平稳正态序列向量最大、最小值的几乎处处中心极限定理[J].云南民族大学学报(自然科学版),2008,17(3). |
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| 作者姓名： | 陈志成 张红云 |
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| 作者单位： | 1. 河南科技学院,数学系,河南,新乡,453003
2. 广西大学,数学与信息科学学院,广西,南宁,530004 |
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| 摘 要： | X1,X2,…为标准化的d维平稳正态随机向量序列,在一定条件下证明了最大值Mn、最小值mn联合的几乎处处中心极限定理.
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| 关 键 词： | 几乎处处极限定理 平稳序列 最大、最小值 almost sure limit theorem stationary sequence maximum and minimum 正态 列向量 最小值 中心极限定理 Sequences Vector Normal Stationary Minimum Maximum Limit Theorem sure central limit theorem random vectors conditions maximum minimum standardized stationary normal |
Almost Sure Limit Theorem for the Maximum and Minimum of Stationary Normal Vector Sequences |
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| Chen Zhicheng,Zhang Hongyun.Almost Sure Limit Theorem for the Maximum and Minimum of Stationary Normal Vector Sequences[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2008,17(3). |
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| Authors: | Chen Zhicheng Zhang Hongyun |
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| Abstract: | For a standardized stationary normal d dimensional random vectors sequence of X1,X2,…, we consider its maximum Mn and minimum mn. The almost sure central limit theorem for the maximum and minimum of stationary normal vector is proved under some suitable conditions. |
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| Keywords: | almost sure limit theorem stationary sequence maximum and minimum |
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