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http://dx.doi.org/10.4134/JKMS.2012.49.6.1097

CONVERGENCE PROPERTIES OF THE PARTIAL SUMS FOR SEQUENCES OF END RANDOM VARIABLES  

Wu, Yongfeng (Department of Mathematics and Computer Science Tongling University)
Guan, Mei (Department of Mathematics and Physics Hefei University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1097-1110 More about this Journal
Abstract
The convergence properties of extended negatively dependent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the $p$-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich the known results in the literature.
Keywords
extended negative dependence random sequences; weak law of large numbers; p-mean convergence; complete convergence; uniform integrability;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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