Panel Cointegration Testing in the Presence of a Time Trend
AbstractThe purpose of this paper is to propose a new likelihood-based panel cointegration test in the presence of a linear time trend in the data generating process. This new test is an extension of the likelihood ratio (LR) test of Saikkonen & Lütkepohl (2000) for trend-adjusted data to the panel data framework, and is called the panel SL test. The idea is first to take the average of the individual LR (trace) statistics over the cross-sections and then to standardize the test statistic with the appropriate asymptotic moments. Under the null hypothesis, this standardized statistic has a limiting normal distribution as the number of time periods (T) and the number of cross-sections (N) tend to infinity sequentially. In addition to the approximation based on asymptotic moments, a second approximation approach involving the moments from a vector autoregressive process of order one is also introduced. By means of a Monte Carlo study the finite sample size and size-adjusted power properties of the test are investigated. The test presents reasonable size with the increase in T and N, and has high power in small samples.
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Bibliographic InfoPaper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2009-005.
Length: 32 pages
Date of creation: Jan 2009
Date of revision:
Panel Cointegration Test; Likelihood Ratio; Time Trend; Monte Carlo Study;
Find related papers by JEL classification:
- C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Longitudinal Data; Spatial Time Series
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-01-31 (All new papers)
- NEP-ECM-2009-01-31 (Econometrics)
- NEP-ETS-2009-01-31 (Econometric Time Series)
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- Jörg Breitung, 2002.
"A parametric approach to the estimation of cointegration vectors in panel data,"
10th International Conference on Panel Data, Berlin, July 5-6, 2002
B5-4, International Conferences on Panel Data.
- Jorg Breitung, 2005. "A Parametric approach to the Estimation of Cointegration Vectors in Panel Data," Econometric Reviews, Taylor and Francis Journals, vol. 24(2), pages 151-173.
- Breitung, Jörg, 2002. "A parametric approach to the estimation of cointegration vectors in panel data," SFB 373 Discussion Papers 2002,3, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Toda, Hiro Y, 1994. "Finite Sample Properties of Likelihood Ratio Tests for Cointegrating Ranks when Linear Trends are Present," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 66-79, February.
- Richard G. Anderson & Hailong Qian & Robert H. Rasche, 2006. "Analysis of panel vector error correction models using maximum likelihood, the bootstrap, and canonical-correlation estimators," Working Papers 2006-050, Federal Reserve Bank of St. Louis.
- Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
- Toda, Hiro Y., 1995. "Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1015-1032, October.
- Banerjee, A. & Marcellino, M. & Osbat, C., 2000.
"Some Cautions on the Use of Panel Methods for Integrated Series of Macro-economic Data,"
Economics Working Papers
eco2000/20, European University Institute.
- Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2004. "Some cautions on the use of panel methods for integrated series of macroeconomic data," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 322-340, December.
- Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, . "Some Cautions on the Use of Panel Methods for Integrated Series of Macro-Economic Data," Working Papers 170, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- H. Lütkepohl & P. Saikkonen, 1997.
"Testing for the Cointegrating Rank of a VAR Process with a Time Trend,"
SFB 373 Discussion Papers
1997,79, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Lutkepohl, Helmut & Saikkonen, Pentti, 2000. "Testing for the cointegrating rank of a VAR process with a time trend," Journal of Econometrics, Elsevier, vol. 95(1), pages 177-198, March.
- Larsson, Rolf & Lyhagen, Johan & Löthgren, Mickael, 1998.
"Likelihood-Based Cointegration Tests in Heterogeneous Panels,"
Working Paper Series in Economics and Finance
250, Stockholm School of Economics, revised 27 Aug 1998.
- Rolf Larsson & Johan Lyhagen & Mickael Lothgren, 2001. "Likelihood-based cointegration tests in heterogeneous panels," Econometrics Journal, Royal Economic Society, vol. 4(1), pages 41.
- Pentti Saikkonen, 1999. "Testing normalization and overidentification of cointegrating vectors in vector autoregressive processes," Econometric Reviews, Taylor and Francis Journals, vol. 18(3), pages 235-257.
- Peter C.B. Phillips & Hyungsik R. Moon, 1999.
"Linear Regression Limit Theory for Nonstationary Panel Data,"
Cowles Foundation Discussion Papers
1222, Cowles Foundation for Research in Economics, Yale University.
- Peter C. B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Econometrica, Econometric Society, vol. 67(5), pages 1057-1112, September.
- Deniz Dilan Karaman Örsal & Bernd Droge, 2009. "On the Existence of the Moments of the Asymptotic Trace Statistic," SFB 649 Discussion Papers SFB649DP2009-012, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Barbara Choroś & Wolfgang Härdle & Ostap Okhrin, 2009. "CDO and HAC," SFB 649 Discussion Papers SFB649DP2009-038, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Roland Strausz, 2010.
"The Political Economy of Regulatory Risk,"
CESifo Working Paper Series
2953, CESifo Group Munich.
- Michał Grajek & Lars-Hendrik R�ller, 2012.
"Regulation and Investment in Network Industries: Evidence from European Telecoms,"
Journal of Law and Economics,
University of Chicago Press, vol. 55(1), pages 189 - 216.
- Michał Grajek & Lars-Hendrik Röller, 2009. "Regulation and Investment in Network Industries: Evidence from European Telecoms," SFB 649 Discussion Papers SFB649DP2009-039, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Michal Grajek & Lars-Hendrik Röller, 2009. "Regulation and Investment in Network Industries: Evidence from European Telecoms," ESMT Research Working Papers ESMT-09-004, ESMT European School of Management and Technology.
- Maria Grith & Wolfgang Härdle & Juhyun Park, 2009. "Shape invariant modelling pricing kernels and risk aversion," SFB 649 Discussion Papers SFB649DP2009-041, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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