J4 ›› 2013, Vol. 51 ›› Issue (02): 219-225.

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Statistical Inference for Autoregressive ConditionalDuration Models Based on Empirical Likelihood

HAN Yu1, JIN Ying hua2, WU Wu qing3   

  1. 1. College of Science, Northeast Dianli University, Jilin 132013, Jilin Province, China;
    2. Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China;
    3. School of Business, Renmin University of China, Beijing 100872, China
  • Received:2012-09-12 Online:2013-03-26 Published:2013-03-27
  • Contact: HAN Yu E-mail:yuhanjlu@163.com

Abstract:

This paper solves the statistical test problem of an autoregressive conditional duration (ACD) models based on an empirical likelihood method. We construct the logempirical likelihood ratio statistics for the parameters of ACD model. it is showed that the proposed statistics asymptotically follows  an χ2-distribution. A numerical simulation  demonstrates that the performance of the empirical likelihood method are better than that of the quasi-likelihood method.

Key words: autoregressive conditional duration (ACD) model; , quasi-likelihood function; , empirical likelihood, autoregressive condition

CLC Number: 

  • O212.7