数学物理学报

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非平稳过程的小波因果度量

唐洪敏;谢衷洁   

  1. 北京大学概率统计系 北京 100871

  • 收稿日期:2005-12-25 修回日期:2007-05-10 出版日期:2008-04-25 发布日期:2008-04-25
  • 通讯作者: 唐洪敏
  • 基金资助:
    国家自然科学基金(10171105)资助

Causality Measure of Nonstationary Processes by Wavelet

Tang Hongmin ; Xie Zhongjie

  

  1. Department of Probability and Statistics, Peking University, Beijing 100871
  • Received:2005-12-25 Revised:2007-05-10 Online:2008-04-25 Published:2008-04-25
  • Contact: Tang Hongmin

摘要: 该文对带有随机趋势的非平稳过程给出了一种新的因果度量定义.作者将证明新定义与Hosoya给出的因果度量定义等价, 但由于避免了以往文献中常见的对非平稳过程协整性的要求, 该定义有利于简化因果关系的假设检验.文中还对Wald检验和似然比检验进行了讨论.数值模拟和实证分析表明, 这两种检验方法都是有效的.

关键词: 分数差分平稳过程, 小波变换, 因果度量, 非因果性检验

Abstract: A new causality measure of nonstationary processes with stochastic trend is proposed in this paper, which is proved to be equivalent with Hosoya's one-sided causality measure. The new measure avoids complicated cointegration analysis in the literature and two tests are discussed in detail. One is the wavelet Wald test, the other is likelihood ratio test. They work well both in numerical simulation and empirical example.

Key words: Fractionally differenced stationary process, Wavelet transform,
Causality measure,
Noncausality test.

中图分类号: 

  • 62P20