NOD随机变量序列加权乘积和的强大数律

NOD随机变量序列加权乘积和的强大数律 Strong Laws of Large Numbers for Weighted Product Sums of NOD Random Variables 邱德华 QIU Dehua1 1 first-author 甘师信 GAN Shixin2 2 广东商学院数学与计算科学学院 广东商学院数学与计算科学学院 School of Mathematics and Computational Science,Guangdong University of Business Studies School of Mathematics and Computational Science,Guangdong University of Business Studies 武汉大学数学与统计学院 武汉大学数学与统计学院 School of Mathematics and Statistics,Wuhan University School of Mathematics and Statistics,Wuhan University 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. 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. NOD随机变量 加权乘积和 强大数律 negatively orthant dependent（NOD） random variable weighted product sum strong laws of large numbers 10.14188/j.1671-8836.2011.03.012 O211.4 广东省自然科学基金资助项目（8151032001000006） 2011-03-01 2021-04-01 3 57