关于负超可加相依随机变量加权和的强收敛性
On the strong convergence for weighted sums of negatively superadditive dependent random variables.
作者信息
Meng Bing, Wang Dingcheng, Wu Qunying
机构信息
School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731 P.R. China.
College of Science, Guilin University of Technology, Guilin, Guangxi 541004 P.R. China.
出版信息
J Inequal Appl. 2017;2017(1):269. doi: 10.1186/s13660-017-1530-9. Epub 2017 Oct 27.
In this article, some strong convergence results for weighted sums of negatively superadditive dependent random variables are studied without assumption of identical distribution. The results not only generalize the corresponding ones of Cai (Metrika 68:323-331, 2008) and Sung (Stat. Pap. 52:447-454, 2011), but also extend and improve the corresponding one of Chen and Sung (Stat. Probab. Lett. 92:45-52, 2014).
本文研究了负超可加相依随机变量加权和的一些强收敛结果，且不假设同分布。这些结果不仅推广了蔡（《Metrika》68:323 - 331，2008）和宋（《统计论文》52:447 - 454，2011）的相应结果，还扩展并改进了陈和宋（《统计与概率快报》92:45 - 52，2014）的相应结果。
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