| 一般矩条件下随机变量的收敛性 |
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| 引用本文： | 邱德华,陈平炎,段振华.一般矩条件下随机变量的收敛性[J].数学学报,2018,61(2):261-272. |
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| 作者姓名： | 邱德华 陈平炎 段振华 |
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| 作者单位： | 1. 广东财经大学统计与数学学院 广州 510320;
2. 暨南大学数学系 广州 510630;
3. 广州铁路职业技术学院基础课部 广州 510430 |
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| 基金项目： | 国家自然科学基金资助项目（11271161） |
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| 摘 要： | 本文在一般矩条件下研究了同分布的NA随机变量序列和独立同分布的随机变量序列的收敛性,得到了推广形式的Baum-Katz定理和强大数律,这些结果推广了已知的一些文献中相应的结果.
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| 关 键 词： | Baum-Katz定理 完全收敛 一般矩条件 NA随机变量 |
Convergence for Random Variables with General Moment Conditions |
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| De Hua QIU,Ping Yan CHEN,Zheng Hua DUAN.Convergence for Random Variables with General Moment Conditions[J].Acta Mathematica Sinica,2018,61(2):261-272. |
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| Authors: | De Hua QIU Ping Yan CHEN Zheng Hua DUAN |
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| Institution: | 1. School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, P. R. China;
2. Department of Mathematics, Ji'nan University, Guangzhou 510630, P. R. China;
3. Department of Basic Courses, Guangzhou Institute of Railway Technology, Guangzhou 510430, P. R. China |
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| Abstract: | Convergence for identically distributed negatively associated (NA) random variables and independent and identically distributed (i.i.d.) random variables are studied under general moment conditions, the extension of the Baum-Katz Theorem and strong law of large numbers are obtained. The theorems extend the related known works in the literature. |
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| Keywords: | Baum-Katz theorem complete convergence general moment condition NA random variables |
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