题名

Gaussian Inference in AR(1) Models with Trend: A Note

并列篇名

有時間趨勢之一階自我迴歸模型的常態推論

DOI

10.6277/TER.2014.422.4

作者

陳致綱(Jhih-Gang Chen);郭炳伸(Biing-Shen Kuo)

关键词

自我迴歸模型 ; 去除趨勢 ; 一階差分 ; 單根 ; 動態追蹤資料 ; 固定效果 ; AR model ; detrend ; first difference ; unit root ; dynamic panel ; fixed effects

期刊名称

經濟論文叢刊

卷期/出版年月

42卷2期(2014 / 06 / 01)

页次

297 - 313

内容语文

英文

中文摘要

本文將Phillips and Han(2008)之一階差分估計式推展至有時間趨勢之一階自我迴歸模型的估計與推論上。藉由簡易的去除時間趨勢過程,一階差分估計式仍具有漸近常態分配的性質;同時,據以建構之單根檢定相較於以雙重差分估計式為基礎之單根檢定更有檢定力。本文提出的方法在固定效果動態追蹤資料模型下更具應用價值。

英文摘要

This paper adapts the first-difference estimator of Phillips and Han (2008) to the estimation and inference in AR(1) models with trends. With a detrending procedure, the first-difference estimator remains applicable and is shown to retain the Gaussian asymptotics. A unit root test based on the estimator is more powerful than that based on the double-difference estimator. The proposed estimator is especially useful when applied to dynamic panels.

主题分类 社會科學 > 經濟學
参考文献
  1. Anderson, Thedorc Wilbur(1971).The Statistical Analysis of Time Series.New York:Wiley.
  2. Blundell, Richard,Bond, Stephon(1998).Initial Conditions and Moment Restrictions in Dynamic Panel Data Models.Journal of Econometrics,87,115-143.
  3. Dickey, David Alan,Fuller, Wayne Arthur(1979).Distribution of the Estimators for Autoregressive Time Series with a Unit Root.Journal of the American Statistical Association,74,427-431.
  4. Han, Chirok,Phillips, Peter Charles Bonest(2010).GMM Estimation for Dynamic Panels with Fixed Effects and Strong Instruments at Unity.Econometric Theory,26,119-151.
  5. Marriott, F. H. C.,Pope, J. A.(1954).Bias in the Estimation of Autocorrelations.Biometrika,41,390-402.
  6. Nickell, Stephen(1981).Biases in Dynamic Models with Fixed Effects.Econometrica,49,1417-1426.
  7. Phillips, Peter Charles Bonest,Han, Chirok(2008).Gaussian Inference in AR(1) Time Series with or Without a Unit Root.Econometric Theory,24,631-650.
  8. Phillips, Peter Charles Bonest,Magdalinos, Tassos(2009).Unit Root And Cointegrating Limit Theory when Initialization is in the Infinite Past.Econometric Theory,25,1682-1715.
  9. Shaman, Paul,Stine, Robert A.(1988).The Bias of Autoregressive Coefficient Estimators.Journal of American Statistical Association,83,842-848.
  10. van Giersbergen, Noud P. A.(2005).On the Effect of Deterministic Terms on the Bias in Stable AR Models.Economics Letters,89,75-82.