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J. Korean Math. Soc. 2008; 45(1): 289-300
Printed January 1, 2008
Copyright © The Korean Mathematical Society.
Weak laws of large numbers for arrays under a condition of uniform integrability
Soo Hak Sung, Supranee Lisawadi, and Andrei Volodin
Pai Chai University, University of Regina, University of Regina
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
MSC numbers: 60F05, 60F25, 60G42
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