| 随机变量序列乘积和的矩完全收敛性 |
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| 引用本文： | 邱德华,陈平炎.随机变量序列乘积和的矩完全收敛性[J].数学学报,2018,61(4):695-704. |
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| 作者姓名： | 邱德华 陈平炎 |
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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 |
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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： | 利用王岳宝等将乘积和转化为部分和的乘积之和的方法,研究了随机变量序列乘积和的矩完全收敛性,获得了乘积和矩完全收敛的充分条件.
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Complete Moment Convergence for Product Sums of Sequence of Random Variables |
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| De Hua QIU,Ping Yan CHEN.Complete Moment Convergence for Product Sums of Sequence of Random Variables[J].Acta Mathematica Sinica,2018,61(4):695-704. |
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| Authors: | De Hua QIU Ping Yan CHEN |
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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 |
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| Abstract: | Complete moment convergence for product sums of sequence of random variables are discussed by utilizing the method of Wang et al. The sufficient conditions of complete moment convergence for product sums of sequence of random variables are obtained. |
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| Keywords: | product sums complete convergence complete moment convergence |
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