首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Strong Limit Theorems for Pairwise NQD Random Variables
Authors:Soo Hak Sung
Institution:1. Department of Applied Mathematics , Pai Chai University , Taejon , South Korea sungsh@pcu.ac.kr
Abstract:A number of strong laws of large numbers for sequences of pairwise negative quadrant dependent (NQD) random variables have been established by using the generalized three series theorem. In this article, we obtain a strong law of large numbers by using the truncation technique and method of subsequences instead of the generalized three series theorem. Our result generalizes and improves on the corresponding one in Li and Yang (2008 Li , R. , Yang , W. ( 2008 ). Strong convergence of pairwise NQD random sequences . J. Math. Anal. Appl. 344 : 741747 .Crossref], Web of Science ®] Google Scholar]). We also obtain a complete convergence result for an array of rowwise pairwise NQD random variables.
Keywords:Complete convergence  Dependent random variables  Pairwise NQD random variables  Strong law of large numbers
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