首页 | 本学科首页   官方微博 | 高级检索  
     


Complete integral convergence for arrays of row-wise extended independent random variables under Sub-linear expectations
Authors:Jie Li
Affiliation:Department of Statistics, College of Science, Guilin University of Technology, Guilin, PR China
Abstract:
Abstract

In this paper, we establish the complete convergence and complete integral convergence for arrays of row-wise extended independent random variables under sub-linear expectation space with some conditions. At the same time we extend some complete convergence and complete integral convergence theorems from the classical probability space to the sub-linear expectation space. The results generalize corresponding results obtained by Wu et al. (2017 Zhang, L. X. 2016b. Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm. Science China Mathematics 59 (12):2503–26. doi: 10.1007/s11425-016-0079-1.[Crossref], [Web of Science ®] , [Google Scholar]).
Keywords:sub-linear expectation  extended independent random variables  complete convergence  complete integral convergence
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号