Nonlinearly testing for a unit root in the presence of a break in the mean
AbstractThis paper deals with testing a time series with a structural break in its mean for a unit root when the break date is known. A nonlinear (with respect to coefficients) test equation is used, providing asymptotically efficient estimates. Finite-sample and quasi-asymptotic empirical distributions of the unit root test statistics are estimated, comparing them with those associated with the Perron-type equations. Asymptotic distributions of the nonlinear test statistics are found to be the Dickey-Fuller distributions. The nonlinear test proves to have more power than the test based on the linear model.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 678.
Date of creation: Aug 2004
Date of revision: Sep 2005
structural break; nonlinear regression; nonstandard distribution;
Find related papers by JEL classification:
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-11-12 (All new papers)
- NEP-ECM-2006-11-12 (Econometrics)
- NEP-ETS-2006-11-12 (Econometric Time Series)
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- Lucrezia Reichlin & Peter Rappoport, 1989.
"Segmented trends and non-stationary time series,"
ULB Institutional Repository
2013/10169, ULB -- Universite Libre de Bruxelles.
- Alan Bartley, William & Lee, Junsoo & Strazicich, Mark C., 2001. "Testing the null of cointegration in the presence of a structural break," Economics Letters, Elsevier, vol. 73(3), pages 315-323, December.
- Perron, Pierre, 1989.
"The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis,"
Econometric Society, vol. 57(6), pages 1361-1401, November.
- Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
- Vogelsang, T.I. & Perron, P., 1991.
"Nonstationary and Level Shifts With An Application To Purchasing Power Parity,"
359, Princeton, Department of Economics - Econometric Research Program.
- Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-20, July.
- Peter C.B. Phillips, 1985.
"Time Series Regression with a Unit Root,"
Cowles Foundation Discussion Papers
740R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1986.
- MacKinnon, James G, 1996.
"Numerical Distribution Functions for Unit Root and Cointegration Tests,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 11(6), pages 601-18, Nov.-Dec..
- James G. MacKinnon, 1995. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Working Papers 918, Queen's University, Department of Economics.
- Newey, W.K. & West, K.D., 1992.
"Automatic Lag Selection in Covariance Matrix Estimation,"
9220, Wisconsin Madison - Social Systems.
- Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 631-53, October.
- Kenneth D. West & Whitney K. Newey, 1995. "Automatic Lag Selection in Covariance Matrix Estimation," NBER Technical Working Papers 0144, National Bureau of Economic Research, Inc.
- Hansen, Bruce E, 1997.
"Approximate Asymptotic P Values for Structural-Change Tests,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 15(1), pages 60-67, January.
- Bruce E. Hansen, 1995. "Approximate Asymptotic P-Values for Structural Change Tests," Boston College Working Papers in Economics 297., Boston College Department of Economics.
- Tom Doan, . "RATS programs to replicate Hansen's examples of Andrews-Ploberger test," Statistical Software Components RTZ00087, Boston College Department of Economics.
- Evans, G B A & Savin, N E, 1981. "Testing for Unit Roots: 1," Econometrica, Econometric Society, vol. 49(3), pages 753-79, May.
- Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, 07.
- Gluschenko, Konstantin, 2011.
"Price convergence and market integration in Russia,"
Regional Science and Urban Economics,
Elsevier, vol. 41(2), pages 160-172, March.
- Konstantin Gluschenko, 2010. "Price convergence and market integration in Russia," William Davidson Institute Working Papers Series wp999, William Davidson Institute at the University of Michigan.
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