| 由强混合序列生成线性过程精确渐近性的一般形式 |
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| 引用本文： | 刘君,董志山,张勇.由强混合序列生成线性过程精确渐近性的一般形式[J].吉林大学学报(理学版),2008,46(4):595-600. |
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| 作者姓名： | 刘君 董志山 张勇 |
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| 作者单位： | 1. 北华大学 数学学院, 吉林 吉林 132013; 2. 东北师范大学 数学与统计学院， 长春 130024；3. 吉林大学 数学研究所, 长春 130012 |
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| 摘 要： | 利用由强混合序列生成的线性过程的弱收敛定理和不变原理以及矩不等式, 得到了拟权函数和边界函数部分和以及部分和最大值的精确渐近性的一般形式. 从而使此前关于强混合精确渐近的许多经典和最新结果都可以包括在本文所得结果范围内.
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| 关 键 词： | 强混合序列 线性过程 精确渐近性 一般形式 |
| 收稿时间： | 2007-10-10 |
A General Result on Precise Asymptotics for the Linear Process Generated by Strong Mixing Sequences |
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| LIU Jun,DONG Zhi-shan,ZHANG Yong.A General Result on Precise Asymptotics for the Linear Process Generated by Strong Mixing Sequences[J].Journal of Jilin University: Sci Ed,2008,46(4):595-600. |
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| Authors: | LIU Jun DONG Zhi-shan ZHANG Yong |
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| Institution: | 1. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;3. Institute of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | Using the weak convergence theorem of the linear process generated by strong mixing sequences and the moment inequalities of strong mixing sequences, we otained a general result on precise asymptotics for the partial sums and the maximum of the partial sums of wide range weighted functions and boundary functions. Many important results from the literatures are obtainedeasily as corollaries. |
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| Keywords: | strong mixing sequence linear process precise asymptotics general result |
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