Some Remarks for Sequences of Pairwise NQD Random Variables  

作　　者：GAN Shixin CHEN Pingyan 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [2]Department of Mathematics, Jinan University, Guangzhou510630, Guangdong, China

出　　处：《Wuhan University Journal of Natural Sciences》2010年第6期467-470,共4页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10671149)

摘　　要：We first obtain the Petrov theorem for pairwise NQD（negative quadrant dependent） random variables which may have different distributions.Some well-known results are improved and extended.Next,we give an example to clarify one of the important properties of sequences of pairwise NQD random variables,so that we can point out some mistakes that have appeared in recent published papers.We first obtain the Petrov theorem for pairwise NQD（negative quadrant dependent） random variables which may have different distributions.Some well-known results are improved and extended.Next,we give an example to clarify one of the important properties of sequences of pairwise NQD random variables,so that we can point out some mistakes that have appeared in recent published papers.

关 键 词：pairwise NQD random variable sequence convergence in probability almost sure convergence Marcinkiewicz type weak law of law numbers 

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