Some Strong Convergence Theorems for Asymptotically almost Negatively Associated Random Variables

eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2017-09-05 5 3 106 111 10.12691/ajams-5-3-4 AJAMS2017534 article Some Strong Convergence Theorems for Asymptotically almost Negatively Associated Random Variables Haiwu Huang 1 2 3 Xiongtao Wu 3 Yanchun Yi 3 College of Mathematics and Statistics, Hengyang Normal University, Hengyang, PR China 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. http://pubs.sciepub.com/ajams/5/3/4/ajams-5-3-4.pdf AANA random variables complete moment convergence L_pconvergence weighted sums