| 非平稳NA随机变量满足迭对数律及大数定律的充分条件 |
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| 引用本文： | 董志山,杨小云,刘立新.非平稳NA随机变量满足迭对数律及大数定律的充分条件[J].数学学报,2002,45(6):1213-122. |
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| 作者姓名： | 董志山 杨小云 刘立新 |
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| 作者单位： | 1. 吉林大学,前卫校区,数学研究所,吉林,长春,130012
2. 南开大学数学学院,天津,300071 |
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| 摘 要： | 本文应用Shao所提供的极大值矩不等式及概率不等式,给出了不具有平稳分布的NA随机变量列满足迭对数律和大数定律的充分条件.
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| 关 键 词： | NA随机变量 迭对数律 大数定律 |
| 文章编号： | 0583-1431(2002)06-1213-08 |
| 修稿时间： | 2000年11月29 |
Sufficient Conditions for the NA Random Variables without Stationary Distribution to Satisfy the Law of Iterated Logarithm and the Law of Large Numbers |
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| Zhi Shan DONG,Xiao Yun YANG.Sufficient Conditions for the NA Random Variables without Stationary Distribution to Satisfy the Law of Iterated Logarithm and the Law of Large Numbers[J].Acta Mathematica Sinica,2002,45(6):1213-122. |
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| Authors: | Zhi Shan DONG Xiao Yun YANG |
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| Institution: | Zhi Shan DONG Xiao Yun YANG (Institute of Mathematics, Jilin University (Qianwei Campus), Changchun 130012, P. R. China)Li Xin LIU (Mathematics School, Nankai University, Tianjin 300071, P. R. China) |
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| Abstract: | Abstract In this article, we give the sufficient conditions for the NA random variables without stationary distribution to satisfy the law of iterated logarithm and the law of large numbers. The proof is based on the maximal moment inequality and probability inequality provided by Shao. |
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| Keywords: | NA random variables The law of iterated logarithm The law of large number |
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