Testing linearity against smooth transition autoregression using a parametric bootstrap
AbstractWhen testing the null hypothesis of linearity of a univariate time series against smooth transition autoregression (STAR), standard asymptotic distribution results do not apply since nuisance parameters in the model are unidentified under the null hypothesis. The prevailing test of Luukkonen, Saikkonen and Teräsvirta (1988) is based on a linearization, which may adversely affect its power. This paper discusses an alternative procedure, based on a parametric bootstrap of a likelihood ratio test statistic, and investigates its size and power properties by a small simulation study. The results, however, indicate that the power of the bootstrap test is inferior to that of the existing test.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 276.
Length: 8 pages
Date of creation: 28 Oct 1998
Date of revision: 13 Dec 1998
Contact details of provider:
Postal: The Economic Research Institute, Stockholm School of Economics, P.O. Box 6501, 113 83 Stockholm, Sweden
Phone: +46-(0)8-736 90 00
Fax: +46-(0)8-31 01 57
Web page: http://www.hhs.se/
More information through EDIRC
Linearity testing; smooth transition autoregression model; nuisance parameter; nonstandard testing problem; bootstrap test;
Find related papers by JEL classification:
- 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
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
This paper has been announced in the following NEP Reports:
- NEP-ALL-1998-11-20 (All new papers)
- NEP-ECM-1998-11-23 (Econometrics)
- NEP-ETS-1998-11-20 (Econometric Time Series)
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- van Dijk, Dick & Franses, Philip Hans & Paap, Richard, 2002. "A nonlinear long memory model, with an application to US unemployment," Journal of Econometrics, Elsevier, vol. 110(2), pages 135-165, October.
- Sarno, Lucio, 2001. "The behavior of US public debt: a nonlinear perspective," Economics Letters, Elsevier, vol. 74(1), pages 119-125, December.
- Sofiane Amri, 2008. "Analysing the forward premium anomaly using a Logistic Smooth Transition Regression model," Economics Bulletin, AccessEcon, vol. 6(26), pages 1-18.
- Lucio Sarno & Giorgio Valente & Hyginus Leon, 2006.
"Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle,"
Review of Finance,
European Finance Association, vol. 10(3), pages 443-482, September.
- Leon, Hyginus & Sarno, Lucio & Valente, Giorgio, 2006. "Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle," CEPR Discussion Papers 5527, C.E.P.R. Discussion Papers.
- Sarno, Lucio & Thornton, Daniel L., 2003.
"The dynamic relationship between the federal funds rate and the Treasury bill rate: An empirical investigation,"
Journal of Banking & Finance,
Elsevier, vol. 27(6), pages 1079-1110, June.
- Lucio Sarno & Daniel L. Thornton, 2002. "The dynamic relationship between the federal funds rate and the Treasury bill rate: an empirical investigation," Working Papers 2000-032, Federal Reserve Bank of St. Louis.
- Sarno, Lucio & Thornton, Daniel L, 2002. "The Dynamic Relationship Between the Federal Funds rate and the Treasury Bill Rate: An Empirical Investigation," CEPR Discussion Papers 3225, C.E.P.R. Discussion Papers.
- Strohsal, Till & Weber, Enzo, 2013. "Identifying Volatility Signals from Time-Varying Simultaneous Stock Market Interaction," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79903, Verein für Socialpolitik / German Economic Association.
- Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001.
"Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-42, November.
- Peel, David & Sarno, Lucio & Taylor, Mark P, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Towards a Solution to the Purchasing Power Parity Puzzles," CEPR Discussion Papers 2658, C.E.P.R. Discussion Papers.
- Jonathan B. Hill, 2004. "Consistent Model Specification Tests Against Smooth Transition Alternatives," Econometrics 0402004, EconWPA, revised 01 Mar 2004.
- Jonathan B. Hill, 2004. "Consistent LM-Tests for Linearity Against Compound Smooth Transition Alternatives," Econometric Society 2004 North American Summer Meetings 42, Econometric Society.
- repec:ebl:ecbull:v:6:y:2008:i:26:p:1-18 is not listed on IDEAS
- Matthew T. Holt & Joseph V. Balagtas, 2009.
"Estimating Structural Change with Smooth Transition Regressions: An Application to Meat Demand,"
American Journal of Agricultural Economics,
Agricultural and Applied Economics Association, vol. 91(5), pages 1424-1431.
- Holt, Matthew T. & Balagtas, Joseph V., 2009. "Estimating Structural Change with Smooth Transition Regressions: an Application to Meat Demand," MPRA Paper 15331, University Library of Munich, Germany.
- Jonathan B. Hill, 2004.
"LM-Tests for Linearity Against Smooth Transition Alternatives: A Bootstrap Simulation Study,"
0412, Florida International University, Department of Economics.
- Jonathan B. Hill, 2004. "LM-Tests for Linearity Against Smooth Transition Alternatives: A Bootstrap Simulation Study," Econometrics 0401004, EconWPA, revised 05 Jul 2004.
- Coakley, Jerry & Fuertes, Ana-Maria, 2006. "Testing for sign and amplitude asymmetries using threshold autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 30(4), pages 623-654, April.
- Weber, Enzo, 2009. "Financial Contagion, Vulnerability and Information Flow: Empirical Identification," University of Regensburg Working Papers in Business, Economics and Management Information Systems 431, University of Regensburg, Department of Economics.
- Till Strohsal & Enzo Weber, 2012. "The Signal of Volatility," SFB 649 Discussion Papers SFB649DP2012-043, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Helena Lundin).
If references are entirely missing, you can add them using this form.