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《Journal of Wuyi University(Natural Science Edition)》 2001-01
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On The Strong Law of Large Numbers for Double Arrays of Pairwise Independent Ran dom Variables

QIAN Neng-sheng (Dept. of Math. & Phys., Wuyi Univ., Jiangmen 529020, China)  
The strong law of large numbers for double arrays of pairwise independ ent random variables was investigated and the following results obtained: Let b e double arrays of pairwise independent random variables and, when arbitrary ,a nd . ,then a.s. and, when , it converges on zero by . The results can be general ized to an r-dimensional array of random variables only if the respective condit ions be changed to and .
【CateGory Index】: O211.4
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 WU Qunying,WANG Yuanqing (Department of Maths and Physics,Guilin University of Technology,Guilin 541004,China);On some limit theorems for sums of  mixing random matrix sequences[J];Pure and Applied Mathematics;2007-04
2 YUAN De-mei,AN Jun(College of Science,Chongqing Technology and Business University,Chongqing 400067,China);Truncation of Random Variables and Strong Limit Theorems for Sequences of Arbitrary Random Variables[J];Mathematics in Practice and Theory;2007-22
3 Wu Qunying (Central South University, Changsha 410075) (Department of Basic Sciences, Guilin Institute of Technology, Guilin 541004);Strong Convergence Properties of Jamison Weighted Sums of Pairwise NQD Random Sequences[J];Journal of Mathematical Study;2001-04
4 Yang Weiguo (Faculty of Science, Jiangsu University of Science & Technology, Zhenjiang 212013; Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030) Liu Wen (Department of Mathematics, Hebei University of Technology, Tianjin 300130, China);Strong Convergence Theorems for Arbitrary Stochastic Sequence[J];Acta Mathematiea Scientia;2003-05
5 Chen Pingyan(Department of Mathematics, Jinan University, Guangzhou 510630);On the Strong Law of Large Numbers for Pairwise NQD Random Variables[J];Acta Mathematiea Scientia;2005-03
6 WU Qun Ying (Research Department Railway Campus, Central South University, Changsha 410075, P. R. China) (Department of Basic Science, Guilin Institute of Technology, Cuilin 541004, P. R. China) (Faz:(0773)5892796; E-mail: base@glite.edu.cn);Convergence Properties of Pairwise NQD Random Sequences[J];Acta Mathematica Sinica;2002-03
7 CHEN Ping-yan, GAN Shi-xin (Dept. of Math., Wuhan Univ., 430072, China) (Dept. of Math., Zhongshan Univ., Guangzhou 510275, China);Some Limit Results for Weighted Sum of B -Valued Random Variables[J];Journal of Mathematical Research and Exposition;2000-04
8 CHEN Ping\|yan (Dept. of Math., Jinan University, Guangzhou, 510630);SOME LIMIT RESULTS FOR THE GEOMETRICAL WEIGHTED SUM OF MIXING SEQUENCE[J];Journal of Mathematics;2003-02
9 CHEN Ping-yan (Department of Mathematics,Jinan University,Guangzhou 510630,China);Strong Law of Large Number for Weighted Sums of Mixing Random Sequences[J];Mathematica Applicata;2005-04
10 CHEN PINGYAN (Department of Mathematics, Jinan University, Guangzhou, 510630) DAI YONGLONG (Department of Mathematics, Zhongshan University, Guangzhou, 510275);Strong Law of Large Numbers for B-Valued Mixing Random Variables[J];Chinese Journal of Applied Probability and Statistics;2006-02
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