THE STRONG LAW OF LARGE NUMBERS FOR PAIRWISE NQD RANDOM VARIABLES  

作　　者：Qunying WU Yuanying JIANG 

机构地区：[1]College of Science, Guilin University of Technology, Guilin 541004, China.

出　　处：《Journal of Systems Science & Complexity》2011年第2期347-357,共11页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China under Grant No. 11061012, the Support Program of the New Century Guangxi China Ten-hundred-thousand Talents Project under Grant No. 2005214, and the Guangxi, China Science Foundation under Grant No. 2010GXNSFA013120.

摘　　要：In this paper, the almost sure convergence for pairwise negatively quadrant dependent random variables is studied. The strong law of large numbers for pairwise negatively quadrant dependent random variables is obtained. Our results generalize and improve those on almost sure convergence theorems previously obtained by Marcinkiewicz （1937）, Jamison （1965）, Matula （1992） and Wu （2001） from the independent identically distributed （i.i.d.） case to pairwise NQD sequences.

关 键 词：Almost sure convergence pairwise negatively quadrant dependent random variables strong law of large numbers. 

分 类 号：O211.5[理学—概率论与数理统计] O211.4[理学—数学]