Some Strong Convergence Theorems for Asymptotically almost Negatively Associated Random Variables

Haiwu Huang^{1, 2}, Xiongtao Wu¹ and Yanchun Yi¹

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

Cite this paper

Haiwu Huang, Xiongtao Wu and 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 L_p 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

AANA random variables, complete moment convergence, L_p convergence, weighted sums

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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