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The Convergence of a Moving Average Process of AANA Random Variables
Authors:TAN Jia-xin  HUANG Qian  HU Qi  YANG Wen-zhi
Institution:School of Mathematical Sciences, Anhui University, Hefei 230601, China
Abstract:Based on the asymptotically almost negatively associated(AANA) random vari-ables, we investigate the complete moment convergence for a moving average process under the moment condition EY log(1+Y )] < ∞. As an application, Marcinkiewicz-Zygmund-type strong law of large numbers for this moving average process is presented in this paper.
Keywords:AANA random variables  complete moment convergence  moving average pro-cess
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