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Complete Convergence for Weighted Sums of WOD Random Variables

Complete Convergence for Weighted Sums of WOD Random Variables
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摘要 In this article, we study the complete convergence for weighted sums of widely orthant dependent random variables. By using the exponential probability inequality, we establish a complete convergence result for weighted sums of widely orthant dependent random variables under mild conditions of weights and moments. The result obtained in the paper generalizes the corresponding ones for independent random variables and negatively dependent random variables. In this article, we study the complete convergence for weighted sums of widely orthant dependent random variables. By using the exponential probability inequality, we establish a complete convergence result for weighted sums of widely orthant dependent random variables under mild conditions of weights and moments. The result obtained in the paper generalizes the corresponding ones for independent random variables and negatively dependent random variables.
作者 ZHANG Ying ZHANG Yu SHEN Ai-ting
机构地区 School of Mathematical Sciences
出处 《Chinese Quarterly Journal of Mathematics》 2016年第1期1-8,共8页 数学季刊（英文版）
基金 Supported by the Natural Science Foundation of Anhui Province(1308085QA03) Supported by the Quality Improvement Projects for Undergraduate Education of Anhui University(ZLTS2015035) Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407) Supported by the Students Innovative Training Project of Anhui University(201410357118)
关键词 widely orthant dependence complete convergence weighted sums widely orthant dependence complete convergence weighted sums
分类号 O211.4 [理学—概率论与数理统计]
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参考文献20

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Chinese Quarterly Journal of Mathematics
2016年 第1期

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