# PRECISE ASYMPTOTICS FOR THE MOMENT CONVERGENCE OF MOVING-AVERAGE PROCESS UNDER DEPENDENCE

• Zang, Qing-Pei (Faculty of Science Jiangsu University, School of Mathematical Science Huaiyin Normal University) ;
• Fu, Ke-Ang (School of Statistics and Mathematics Zhejiang Gongshang University)
• Published : 2010.05.31
• 66 4

#### Abstract

Let {$\varepsilon_i:-{\infty}$$\infty$} be a strictly stationary sequence of linearly positive quadrant dependent random variables and $\sum\limits\frac_{i=-{\infty}}^{\infty}|a_i|$<$\infty$. In this paper, we prove the precise asymptotics in the law of iterated logarithm for the moment convergence of moving-average process of the form $X_k=\sum\limits\frac_{i=-{\infty}}^{\infty}a_{i+k}{\varepsilon}_i,k{\geq}1$

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