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A Range Unit Root Test Author info | Abstract | Publisher info | Download info | Related research | Statistics Felipe M. Aparicio ()
Alvaro Escribano
Ana García
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Since the seminal paper by Dickey and Fuller in 1979, unit-root tests have conditioned the standard approaches to analyse time series with strong serial dependence, the focus being placed in the detection of eventual unit roots in an autorregresive model fitted to the series. In this paper we propose a completely different method to test for the type of“long-wave” patterns observed not only in unit root time series but also in series following more complex data generating mechanisms. To this end, our testing device analyses the trend exhibit by the data, without imposing any constraint on the generating mechanism. We call our device the Range Unit Root (RUR) Test since it is constructed from running ranges of the series. These statistics allow a more general characterization of a strong serial dependence in the mean behavior, thus endowing our test with a number of desirable properties, among which its error-model-free asymptotic distribution, the invariance to nonlinear monotonic transformations of the series and the robustness to the presence of level shifts and additive outliers. In addition, the RUR test outperforms the power of standard unit root tests on near-unit-root stationary time series and is asymptotically immune to noise.
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Paper provided by Universidad Carlos III, Departamento de Estadística y Econometría in its series Statistics and Econometrics Working Papers with number
ws041104.
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References listed on IDEAS 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.: Ermini, Luigi & Granger, Clive W. J., 1993.
"Some generalizations on the algebra of I(1) processes ,"
Journal of Econometrics ,
Elsevier, vol. 58(3), pages 369-384, August.
[Downloadable!] (restricted)
Other versions: Phillips, P.C.B., 1986.
"Testing for a Unit Root in Time Series Regression ,"
Cahiers de recherche
8633, Universite de Montreal, Departement de sciences economiques.
Other versions: repec:cup:etheor:v:11:y:1995:i:2:p:331-46 is not listed on IDEAS
Pierre Perron & Gabriel RodrÌguez, 2003.
"Searching For Additive Outliers In Nonstationary Time Series ,"
Journal of Time Series Analysis ,
Blackwell Publishing, vol. 24(2), pages 193-220, 03.
[Downloadable!] (restricted)
Schotman, Peter & van Dijk, Herman K., 1991.
"A Bayesian analysis of the unit root in real exchange rates ,"
Journal of Econometrics ,
Elsevier, vol. 49(1-2), pages 195-238.
[Downloadable!] (restricted)
Other versions: Vogelsang, T.I. & Perron, P., 1991.
"Nonstationary and Level Shifts With An Application To Purchasing Power Parity ,"
Papers
359, Princeton, Department of Economics - Econometric Research Program.
Other versions: Franses, Philip Hans & Haldrup, Niels, 1994.
"The Effects of Additive Outliers on Tests for Unit Roots and Cointegration ,"
Journal of Business & Economic Statistics ,
American Statistical Association, vol. 12(4), pages 471-78, October.
Other versions: Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998.
"Spurious rejections by Dickey-Fuller tests in the presence of a break under the null ,"
Journal of Econometrics ,
Elsevier, vol. 87(1), pages 191-203, August.
[Downloadable!] (restricted)
Phillips, P C B, 1987.
"Time Series Regression with a Unit Root ,"
Econometrica ,
Econometric Society, vol. 55(2), pages 277-301, March.
[Downloadable!] (restricted)
Other versions: Hoek, Henk & Lucas, Andre & van Dijk, Herman K., 1995.
"Classical and Bayesian aspects of robust unit root inference ,"
Journal of Econometrics ,
Elsevier, vol. 69(1), pages 27-59, September.
[Downloadable!] (restricted)
Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992.
"Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence ,"
Journal of Business & Economic Statistics ,
American Statistical Association, vol. 10(3), pages 271-87, July.
Rappoport, Peter & Reichlin, Lucrezia, 1989.
"Segmented Trends and Non-stationary Time Series ,"
Economic Journal ,
Royal Economic Society, vol. 99(395), pages 168-77, Supplemen.
[Downloadable!] (restricted)
F. M. Aparicio Acosta & Clive W.J. Granger, 1995.
"Nonlinear Cointegration and Some New Tests for Comovements ,"
University of California at San Diego, Economics Working Paper Series
95-15, Department of Economics, UC San Diego.
Hamori, Shigeyuki & Tokihisa, Akira, 1997.
"Testing for a unit root in the presence of a variance shift1 ,"
Economics Letters ,
Elsevier, vol. 57(3), pages 245-253, December.
[Downloadable!] (restricted)
Stock, James H., 1994.
"Deciding between I(1) and I(0) ,"
Journal of Econometrics ,
Elsevier, vol. 63(1), pages 105-131, July.
[Downloadable!] (restricted)
Other versions: Christopher A. Sims, 1988.
"Bayesian skepticism on unit root econometrics ,"
Discussion Paper / Institute for Empirical Macroeconomics
3, Federal Reserve Bank of Minneapolis.
[Downloadable!]
Other versions: Perron, Pierre, 1989.
"The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis ,"
Econometrica ,
Econometric Society, vol. 57(6), pages 1361-1401, November.
[Downloadable!] (restricted)
Other versions: Perron, Pierre & Vogelsang, Timothy J, 1992.
"Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions ,"
Journal of Business & Economic Statistics ,
American Statistical Association, vol. 10(4), pages 467-70, October.
Felipe M. Aparicio & Alvaro Escribano & Ana García, 2003.
"Range Unit Root Tests ,"
Statistics and Econometrics Working Papers
ws031126, Universidad Carlos III, Departamento de Estadística y Econometría.
[Downloadable!]
Jushan Bai & Pierre Perron, 1998.
"Estimating and Testing Linear Models with Multiple Structural Changes ,"
Econometrica ,
Econometric Society, vol. 66(1), pages 47-78, January.
Other versions:
Perron, P. & Bai, J., 1995.
"Estimating and Testing Linear Models with Multiple Structural Changes ,"
Cahiers de recherche
9552, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
Perron, P. & Bai, J., 1995.
"Estimating and Testing Linear Models with Multiple Structural Changes ,"
Cahiers de recherche
9552, Universite de Montreal, Departement de sciences economiques.
[Downloadable!] Zivot, Eric & Andrews, Donald W K, 1992.
"Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis ,"
Journal of Business & Economic Statistics ,
American Statistical Association, vol. 10(3), pages 251-70, July.
Other versions:
Eric Zivot & Donald W.K. Andrews, 1990.
"Further Evidence on the Great Crash, the Oil Price Shock, and the Unit Root Hypothesis ,"
Cowles Foundation Discussion Papers
944, Cowles Foundation, Yale University.
[Downloadable!] Zivot, Eric & Andrews, Donald W K, 2002.
"Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis ,"
Journal of Business & Economic Statistics ,
American Statistical Association, vol. 20(1), pages 25-44, January.
Rothenberg, Thomas J. & Stock, James H., 1997.
"Inference in a nearly integrated autoregressive model with nonnormal innovations ,"
Journal of Econometrics ,
Elsevier, vol. 80(2), pages 269-286, October.
[Downloadable!] (restricted)
Lo, Andrew W, 1991.
"Long-Term Memory in Stock Market Prices ,"
Econometrica ,
Econometric Society, vol. 59(5), pages 1279-313, September.
[Downloadable!] (restricted)
Other versions: Lucas, Andre, 1995.
"An outlier robust unit root test with an application to the extended Nelson-Plosser data ,"
Journal of Econometrics ,
Elsevier, vol. 66(1-2), pages 153-173.
[Downloadable!] (restricted)
Perron, Pierre, 1990.
"Testing for a Unit Root in a Time Series with a Changing Mean ,"
Journal of Business & Economic Statistics ,
American Statistical Association, vol. 8(2), pages 153-62, April.
Other versions:
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Felipe M. Aparicio & Alvaro Escribano, 2003.
"Cointegration Tests Based On Record Counting Statistics ,"
Statistics and Econometrics Working Papers
ws036615, Universidad Carlos III, Departamento de Estadística y Econometría.
[Downloadable!]
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