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WEAK LAWS OF LARGE NUMBERS FOR ARRAYS UNDER A CONDITION OF UNIFORM INTEGRABILITY
2008
Journal of the Korean Mathematical Society
Preserved Fulltext
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. Mathematics Subject Classification. 60F05, 60F25, 60G42. Key words and phrases. uniform integrability, weak law of large numbers, r-mean convergence, convergence in probability, martingale difference sequence, negative association, negative dependence.
doi:10.4134/jkms.2008.45.1.289
fatcat:owiii4s7jjgttk2l7ux4kolqcu