Strong Limit Theorems for Weighted Sums of Widely Orthant Dependent Random Variables
Received:March 10, 2013  Revised:July 09, 2013
Key Words: widely orthant dependent (WOD) random variables   extended negatively orthant dependent (ENOD) random variables   weighted sums   strong limit theorem.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11271161).
Author NameAffiliation
Dehua QIU School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangdong 510320, P. R. China 
Tienchung HU Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan 
Hits: 2914
Download times: 2654
Abstract:
      Strong limit theorems are established for weighted sums of widely orthant dependent (WOD) random variables. As corollaries, the strong limit theorems for weighted sums of extended negatively orthant dependent (ENOD) random variables are also obtained, which extend and improve the related known works in the literature.
Citation:
DOI:10.3770/j.issn:2095-2651.2014.01.011
View Full Text  View/Add Comment