Articles

SOME LIMIT THEOREMS FOR SEQUENCES OF PAIRWISE NQD RANDOM VARIABLES

  • Gan Shixin ,
  • Chen Pingyan
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  • School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2005-10-29

  Revised date: 2006-06-16

  Online published: 2008-04-20

Abstract

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 well-known results are improved and extended.

Cite this article

Gan Shixin , Chen Pingyan . SOME LIMIT THEOREMS FOR SEQUENCES OF PAIRWISE NQD RANDOM VARIABLES[J]. Acta mathematica scientia, Series B, 2008 , 28(2) : 269 -281 . DOI: 10.1016/S0252-9602(08)60027-2

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