Huang Xiang, Wu Yongfeng
1College of Medicine Information Engineering, Anhui University of Chinese Medicine, Hefei, China.
2School of Mathematics and Finance, Chuzhou University, Chuzhou, China.
J Inequal Appl. 2018;2018(1):86. doi: 10.1186/s13660-018-1678-y. Epub 2018 Apr 13.
In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132-149, 2014) as well as correct and improve the corresponding one of Ko (J. Inequal. Appl. 2017:290, 2017).
在这项工作中,建立了希尔伯特空间中坐标方向负相关随机向量加权和的一些强收敛定理。本文得到的结果改进并扩展了Huan等人(《匈牙利数学学报》144(1):132 - 149, 2014)的相应结果,同时修正并改进了Ko(《不等式及其应用杂志》2017:290, 2017)的相应结果。