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

Title & Authors
CONVERGENCE PROPERTIES OF THE PARTIAL SUMS FOR SEQUENCES OF END RANDOM VARIABLES
Wu, Yongfeng; Guan, Mei;

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 $\small{p}$-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;
Language
English
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The consistency of the nearest neighbor estimator of the density function based on WOD samples, Journal of Mathematical Analysis and Applications, 2015, 429, 1, 497
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