两两NQD列的完全收敛和强大数定律  

Complete Convergence and Strong Law of Large Numbers for Pairwise NQD Random Sequence

作　　者：陈晓林[1] 吴群英[1] 邓光明[1] 

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《桂林理工大学学报》2010年第2期321-323,共3页Journal of Guilin University of Technology

基　　金：国家自然科学基金项目(10661006)

摘　　要：把定理A中的条件∑Egi(Xi)/gi(ai)<∞ from i=1 to ∞改为∑∑Egi(Xi)/gi(an)<∞ from n=1 to ∞ from i=1 to n,得出一些两两NQD列的完全收敛结论,并利用此结论将独立情形的强大数定律推广到两两NQD列的强大数定律。Some complete convergence results of pairwise NQD random sequence are got by amending the condition of ∑Egi（Xi）/gi（ai）∞ from i=1 to ∞ in the theorem A to the condition of ∑∑Egi（Xi）/gi（an）∞ from n=1 to ∞ from i=1 to n.In the study the strong law of larger numbers of the independent random sequence to the strong law of larger numbers of the pairwise NQD random sequence is extended.

关 键 词：两两NQD列 完全收敛 强大数定律 

分 类 号：O211.4[理学—概率论与数理统计]