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Testing for Unit Roots in Nonlinear Dynamic Heterogeneous Panels

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Author Info
He, Changli () (Dept. of Economic Statistics, Stockholm School of Economics)
Sandberg, Rickard () (Dept. of Economic Statistics, Stockholm School of Economics)
Abstract

In this paper we present a unit root test against a nonlinear dynamic heterogenous panel with each cross section modelled as an LSTAR model. All parameters are viewed as cross section specific. We allow for serially correlated residuals over time and heterogenous variance among cross sections. The test is derived under three special cases: (i) the number of cross sections and observations over time are fixed, (ii) observations over time are fixed and the number of cross sections tend to infinity, and (iii) first letting the number of observations over time tend to infinity and thereafter the number of cross sections. Small sample properties of the test show modest size distortions and satisfactory power being superior to the Im, Pesaran, and Shin t-type of test. We also show clear improvements in power compared to a univariate unit root test allowing for nonlinearities under the alternative hypothesis.

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Publisher Info
Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 582.

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Length: 20 pages
Date of creation: 23 Jan 2005
Date of revision:
Handle: RePEc:hhs:hastef:0582

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Related research
Keywords: Dynamic nonlinear heterogenous panels Structural breaks Unit roots t-statistics Central limit theorem

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Nabeya, Seiji, 1999. "Asymptotic Moments Of Some Unit Root Test Statistics In The Null Case," Econometric Theory, Cambridge University Press, vol. 15(01), pages 139-149, February. [Downloadable!]
  2. Pesaran, M.H., 2003. "A Simple Panel Unit Root Test in the Presence of Cross Section Dependence," Cambridge Working Papers in Economics 0346, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  3. Quah, D., 1993. "Exploiting Cross Section Variation for Unit Root Inference in Dynamic Data," Papers 549, Stockholm - International Economic Studies.
    Other versions:
  4. David I. Harvey & Terence C. Mills, 2002. "Unit roots and double smooth transitions," Journal of Applied Statistics, Taylor and Francis Journals, vol. 29(5), pages 675-683, July. [Downloadable!] (restricted)
  5. Peter C.B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Cowles Foundation Discussion Papers 1222, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  6. Harris, R. & Tzavalis, E., 1996. "Inference for Unit Roots in Dynamic Panels," Discussion Papers 96/04, University of Exeter, School of Business and Economics.
  7. Maddala, G S & Wu, Shaowen, 1999. " A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 631-52, Special I. [Downloadable!] (restricted)
  8. Lin, Chien-Fu Jeff & Terasvirta, Timo, 1994. "Testing the constancy of regression parameters against continuous structural change," Journal of Econometrics, Elsevier, vol. 62(2), pages 211-228, June. [Downloadable!] (restricted)
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  9. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July. [Downloadable!] (restricted)
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  10. Karlsson, Sune & Lothgren, Mickael, 2000. "On the power and interpretation of panel unit root tests," Economics Letters, Elsevier, vol. 66(3), pages 249-255, March. [Downloadable!] (restricted)
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  11. Peter C.B. Phillips & Donggyu Sul, 2004. "Bias in Dynamic Panel Estimation with Fixed Effects, Incidental Trends and Cross Section Dependence," Yale School of Management Working Papers ysm428, Yale School of Management. [Downloadable!]
    Other versions:
  12. Markku Lanne & Helmut Lutkepohl & Pentti Saikkonen, 2003. "Test Procedures for Unit Roots in Time Series with Level Shifts at Unknown Time," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(1), pages 91-115, February. [Downloadable!] (restricted)
    Other versions:
  13. He, Changli & Sandberg, Rickard, 2005. "Testing Parameter Constancy in Unit Root Autoregressive Models Against Continuous Change," Working Paper Series in Economics and Finance 579, Stockholm School of Economics, revised 08 Feb 2005. [Downloadable!]
  14. repec:cup:etheor:v:9:y:1993:i:1:p:81-93 is not listed on IDEAS
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