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SOME LIMIT THEOREMS FOR SEQUENCES OF PAIRWISE NQD RANDOM VARIABLES 被引量:8
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作者 甘师信 陈平炎 《Acta Mathematica Scientia》 SCIE CSCD 2008年第2期269-281,共13页
In this article, the authors study some limit properties for sequences of pairwise NQD random variables, which are not necessarily identically distributed. They obtain Baum and Katz complete convergence and the strong... In this article, the authors study some limit properties for sequences of pairwise NQD random variables, which are not necessarily identically distributed. They obtain Baum and Katz complete convergence and the strong stability of Jamison's weighted sums for pairwise NQD random variables, which may have different distributions. Some wellknown results are improved and extended. 展开更多
关键词 pairwise nqd random variable sequence convergence in probability almost sure convergence complete convergence strong stability
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Some Remarks for Sequences of Pairwise NQD Random Variables 被引量:3
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作者 GAN Shixin CHEN Pingyan 《Wuhan University Journal of Natural Sciences》 CAS 2010年第6期467-470,共4页
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 c... 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. 展开更多
关键词 pairwise nqd random variable sequence convergence in probability almost sure convergence Marcinkiewicz type weak law of law numbers
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