| 非平稳NA序列部分和的精确渐近性 |
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| 引用本文： | 赵月旭. 非平稳NA序列部分和的精确渐近性[J]. 数学学报, 2007, 50(3): 539-546. DOI: CNKI:ISSN:0583-1431.0.2007-03-009 |
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| 作者姓名： | 赵月旭 |
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| 作者单位： | 杭州电子科技大学应用数学与工程计算研究所 杭州 |
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| 基金项目： | 浙江省教育厅科学研究基金(20060237,20050494) |
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| 摘 要： | 本文探讨了非平稳NA序列部分和的精确渐近性．以前的文献在讨论NA序列此类极限性质时都附加有强平稳条件的限制,这必然会给一些问题的研究带来不便．周知,非平稳NA序列在许多实际问题中是大量存在的,所以解除强平稳条件的束缚具有较大的理论和实际意义,这正是本文的目的之所在,同时本文也将已有的一些结果包含成为特殊情形．
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| 关 键 词： | 非平稳 NA序列 部分和 精确渐近性 |
| 文章编号： | 0583-1431（2007）03-0539-08 |
| 收稿时间： | 2005-07-21 |
| 修稿时间： | 2005-07-21 |
Precise Asymptotics for Partial Sums of Nonstationary NA |
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| Yue Xu ZHAO. Precise Asymptotics for Partial Sums of Nonstationary NA[J]. Acta Mathematica Sinica, 2007, 50(3): 539-546. DOI: CNKI:ISSN:0583-1431.0.2007-03-009 |
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| Authors: | Yue Xu ZHAO |
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| Affiliation: | Institute of Applied Mathematics and Engineering Computation, Hangzhou Dianzi University, Hangzhou 310018, P.R. China |
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| Abstract: | In this paper,we investigate the precise asymptotics for partial sums of nonstationary NA sequences.Many authors added strictly stationary restrictions to NA sequences when they discussed such limit properties,which has inconvenienced the study of some problems.It is well known that nonstationary NA sequences exist in lots of practical situations,therefore it is of great theoretical and practical meaning to remove the strictly stationary restriction,which is just the main purpose of the present work;meanwhile,our results include some known theorems as special cases. |
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| Keywords: | nonstationary NA sequences partial sums precise asymptotics |
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