| NOD随机变量序列加权乘积和的强大数律 |
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| 引用本文： | 邱德华,甘师信.NOD随机变量序列加权乘积和的强大数律[J].武汉大学学报(理学版),2011,57(3):245-249. |
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| 作者姓名： | 邱德华 甘师信 |
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| 作者单位： | 1. 广东商学院数学与计算科学学院,广东广州,510320
2. 武汉大学数学与统计学院,湖北武汉,430072 |
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| 基金项目： | 广东省自然科学基金资助项目(8151032001000006) |
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| 摘 要： | 利用乘积和的一表示定理和NOD（negatively orthant dependent）随机变量的性质,在较一般的条件下,得到了不同分布的NOD随机变量序列加权乘积和的强大数律,推广和改进了已知的一些文献中相应的结论.
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| 关 键 词： | NOD随机变量 加权乘积和 强大数律 |
Strong Laws of Large Numbers for Weighted Product Sums of NOD Random Variables |
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| QIU Dehua,GAN Shixin.Strong Laws of Large Numbers for Weighted Product Sums of NOD Random Variables[J].JOurnal of Wuhan University:Natural Science Edition,2011,57(3):245-249. |
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| Authors: | QIU Dehua GAN Shixin |
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| Institution: | QIU Dehua1,GAN Shixin2(1.School of Mathematics and Computational Science,Guangdong University of Business Studies,Guangzhou 510320,Guangdong,China,2.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China) |
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| Abstract: | By utilizing the theorem for product sums,and the properties of negatively orthant dependent(NOD) random variables,the strong laws of large numbers are established for weighted product sums of NOD random variables with different distribution under general conditions.The results extend and improve the corresponding results in the literatures. |
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| Keywords: | negatively orthant dependent(NOD) random variable weighted product sum strong laws of large numbers |
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