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Chandra TK and Ghosal S. 1996b. The strong law of large numbers for weighted averages under dependence assumptions. J. Theor. Prob. 9: 797-809.

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Article

Some Strong Convergence Theorems for Asymptotically almost Negatively Associated Random Variables

1College of Mathematics and Statistics, Hengyang Normal University, Hengyang, PR China

2College of Science, Guilin University of Technology, Guilin, PR China;Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang, PR China


American Journal of Applied Mathematics and Statistics. 2017, Vol. 5 No. 3, 106-111
DOI: 10.12691/ajams-5-3-4
Copyright © 2017 Science and Education Publishing

Cite this paper:
Haiwu Huang, Xiongtao Wu, Yanchun Yi. Some Strong Convergence Theorems for Asymptotically almost Negatively Associated Random Variables. American Journal of Applied Mathematics and Statistics. 2017; 5(3):106-111. doi: 10.12691/ajams-5-3-4.

Abstract

In this work, the complete moment convergence and Lp convergence for asymptotically almost negatively associated (AANA, in short) random variables are investigated. As an application, the complete convergence theorem for weighted sums of AANA random variables is obtained. These theorems obtained extend and improve some earlier results.

Keywords