| Mathematics and Computer Science |
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| Complete convergence of WOD random variable sequences. |
| ZHANG Qian, CAI Guanghui, ZHENG Yuyan |
| School of Statistics and Mathematics , Zhejiang Gongshang University, Hangzhou 310018, China |
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Abstract In this paper, we present a complete convergence result for widely orthant dependent(WOD) random variables by using the maximum Rosenthal's type moment inequality and the truncation methods(into three parts). The results generalize and improve the related known works in the literature.
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Received: 16 April 2018
Published: 25 July 2019
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WOD随机变量序列的完全收敛性
应用WOD随机变量序列部分和最大值的Rosenthal型矩不等式，结合三段截尾法，研究了WOD随机变量序列部分和最大值的完全收敛性，所得定理将已有文献的结果推广至部分和最大值的情形。
关键词：
WOD随机变量序列,
完全收敛性,
Rosenthal型不等式
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