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

• 数学 • 上一篇    下一篇

基于经验似然的自回归条件久期模型的统计推断

韩玉1, 金应华2, 吴武清3   

  1. 1. 东北电力大学 理学院, |吉林 吉林 |132013|
    2. |广东工业大学 应用数学学院, 广州 |510006;
    3. 中国人民大学 商学院, |北京 100872
  • 收稿日期:2012-09-12 出版日期:2013-03-26 发布日期:2013-03-27
  • 通讯作者: 韩玉 E-mail:yuhanjlu@163.com

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

摘要:

利用经验似然方法对自回归条件久期(ACD)模型参数进行统计检验, 给出了自回归条件久期模型参数的经验似然比统计量, 并证明了该统计量渐近服从χ2-分布. 数值模拟结果表明, 经验似然方法优于拟似然方法.

关键词: 自回归条件久期(ACD)模型, 拟似然函数; , 经验似然, 自回归条件

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

中图分类号: 

  • O212.7