| NSD序列部分和乘积的渐近分布 |
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| 引用本文： | 赵珈玉,陆冬梅. NSD序列部分和乘积的渐近分布[J]. 吉林大学学报(理学版), 2020, 58(6): 1339-1344. DOI: 10.13413/j.cnki.jdxblxb.2020131 |
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| 作者姓名： | 赵珈玉 陆冬梅 |
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| 作者单位： | 长春理工大学光电信息学院, 长春 130114 |
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| 摘 要： | 设{Xn, n≥1}是同分布正的负超可加相依(NSD)序列, 利用NSD序列加权和的中心极限定理和大数定律, 在适当的条件下证明当n→∞时, 并讨论严平稳条件下的类似结论.
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| 关 键 词： | NSD序列 ,中心极限定理,同分布,对数正态分布,部分和乘积, |
Asymptotic Distribution of Products of Partial Sums under NSD Sequences |
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| ZHAO Jiayu,LU Dongmei. Asymptotic Distribution of Products of Partial Sums under NSD Sequences[J]. Journal of Jilin University: Sci Ed, 2020, 58(6): 1339-1344. DOI: 10.13413/j.cnki.jdxblxb.2020131 |
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| Authors: | ZHAO Jiayu LU Dongmei |
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| Affiliation: | College of Optical and Electronical Information, Changchun University of Science and Technology, Changchun 130114, China |
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| Abstract: | Let {Xn, n≥1} be a sequence of identically distributed positive negatively superadditive dependent (NSD) random sequence. Under some suitable conditions, by using the central limit theorem of weighted sums and the law of large numbers of NSD random sequence, and we discuss similar conclusion for the strictly stationary case. |
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| Keywords: | NSD sequences central limit theorem,identically distribution ,lognormal distribution,product of sums, |
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