统计研究 ›› 2012, Vol. 29 ›› Issue (1): 19-25.

• 论文 • 上一篇    下一篇

近单位根过程脉冲响应函数的置信区间

吴学锋 张晓峒   

  • 出版日期:2012-01-15 发布日期:2012-01-09

Confidence Intervals for Univariate Impulse Responses with a Near Unit Root

Wu Xuefeng & Zhang Xiaotong   

  • Online:2012-01-15 Published:2012-01-09

摘要: 本文提出一个构造近单位根自回归过程脉冲响应函数的置信区间的新方法。新方法首先修正自回归系数估计的偏误,然后利用标准自举方法构造脉冲响应函数的置信区间。蒙特卡罗模拟结果表明在小样本时新方法的表现要明显优于已有的方法。新方法的实际覆盖率能够一致地达到或超过名义置信水平。

关键词: 脉冲响应, 置信区间, 自举, 单位根

Abstract: This article proposes a new method for constructing confidence intervals for the impulse response function of a univariate time series with a near unit root. This method corrects the bias in the estimators of coefficients firstly, and then uses standard bootstrap method to construct confidence intervals. Monte Carlo simulation proves that the new method is better than other methods and it can achieve nominal confidence level consistently.

Key words: Impulse Responses, Confidence Intervals, Bootstrap, Unit Root