A simple encompassing test for the deterministic and bilinear unit root models
AbstractA new parameters’ encompassing test is proposed for deciding between the deterministic unit root processes with a structural break and the bilinear unit root model without such break. The test consists in testing three sets of hypotheses regarding parameters in a simple regression model. The test uses the t-ratio and F-statistics, of non-trivial distributions under the null hypothesis. The finite sample distributions for the relevant statistics are tabulated and the asymptotic distribution of the F-test is derived. The test has been applied for the daily stock price indices for 66 countries, for the period 1992-2001. The results support the conjecture that the bilinear model dominates the structural break model more often than the other way around. Also, it is likely that in practical applications the bilinear unit root process might be mistaken for the deterministic unit root process with a structural break.
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Bibliographic InfoPaper provided by University College London in its series Open Access publications from University College London with number http://discovery.ucl.ac.uk/18280/.
Date of creation: 2005
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Publication status: Published in Austrian Journal of Statistics (2005) v.34, p.79-90
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- 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.
- Perron, P., 1989. "Testing For A Unit Root In A Time Series With A Changing Mean," Papers 347, Princeton, Department of Economics - Econometric Research Program.
- Vogelsang, T.J. & Perron, P., 1994.
"Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time,"
Cahiers de recherche
9422, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Vogelsang, Timothy J & Perron, Pierre, 1998. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1073-1100, November.
- Vogelsang, T.J. & Perron, P., 1994. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," Cahiers de recherche 9422, Universite de Montreal, Departement de sciences economiques.
- Kim, Tae-Hwan & Leybourne, Stephen J & Newbold, Paul, 2000. " Spurious Rejections by Perron Tests in the Presence of a Break," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(3), pages 433-44, July.
- Leybourne, S J & McCabe, B P M & Tremayne, A R, 1996. "Can Economic Time Series Be Differenced to Stationarity?," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 435-46, October.
- Serena Ng & Pierre Perron, 1997.
"Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power,"
Boston College Working Papers in Economics
369, Boston College Department of Economics, revised 01 Sep 2000.
- Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
- Perron, P, 1988.
"The Great Crash, The Oil Price Shock And The Unit Root Hypothesis,"
338, Princeton, Department of Economics - Econometric Research Program.
- 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.
- Charemza, Wojciech W. & Lifshits, Mikhail & Makarova, Svetlana, 2005.
"Conditional testing for unit-root bilinearity in financial time series: some theoretical and empirical results,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 29(1-2), pages 63-96, January.
- Charemza W.W. & M. Lifshits & S. Makarova, 2002. "Conditional testing for unit-root bilinearity in financial time series: some theoretical and empirical results," Computing in Economics and Finance 2002 251, Society for Computational Economics.
- Robert Sollis & Paul Newbold & Stephen Leybourne, 2000. "Stochastic unit roots modelling of stock price indices," Applied Financial Economics, Taylor and Francis Journals, vol. 10(3), pages 311-315.
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