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http://dx.doi.org/10.4134/JKMS.2008.45.1.289

WEAK LAWS OF LARGE NUMBERS FOR ARRAYS UNDER A CONDITION OF UNIFORM INTEGRABILITY  

Sung, Soo-Hak (Department of Applied Mathematics Pai Chai University)
Lisawadi, Supranee (Department of Mathematics and Statisitcs University of Regina)
Volodin, Andrei (Department of Mathematics and Statisitcs University of Regina)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.1, 2008 , pp. 289-300 More about this Journal
Abstract
For an array of dependent random variables satisfying a new notion of uniform integrability, weak laws of large numbers are obtained. Our results extend and sharpen the known results in the literature.
Keywords
uniform integrability; weak law of large numbers; r-mean convergence; convergence in probability; martingale difference sequence; negative association; negative dependence;
Citations & Related Records

Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
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