Complete $q$-Moment Convergence of Moving Average Processes under $\varphi$-mixing Assumption
Received:September 12, 2009  Revised:January 18, 2010
Key Words: moving average   $\varphi$-mixing   complete moment convergence.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10871001; 10971097), the Anhui Provincial Natural Science Foundation of China (Grant No.11040606M04) and the Anhui Province College Excellent Young Talents Fundation of China (Grant No.2009SQRZ176ZD).
Author NameAffiliation
Xing Cai ZHOU Department of Mathematics, Southeast University, Jiangsu 210096, P. R. China
Department of Mathematics and Computer Science, Tongling University, Anhui 244000, P. R. China 
Jin Guan LIN Department of Mathematics, Southeast University, Jiangsu 210096, P. R. China
 
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Abstract:
      In this paper, we study the complete $q$-moment convergence of moving average processes under $\varphi$-mixing assumption. The results obtained not only extend some previous known results, but also improve them.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.04.014
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