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
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.
- Jonathan B. Hill, 2004. "Consistent LM-Tests for Linearity Against Compound Smooth Transition Alternatives," Econometric Society 2004 North American Summer Meetings 42, Econometric Society.
- Till Strohsal & Enzo Weber, 2012. "The Signal of Volatility," SFB 649 Discussion Papers SFB649DP2012-043, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- 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.
- 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.
- Giorgio Valente & H. L. Leon & Lucio Sarno, 2006.
"Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle,"
IMF Working Papers
06/136, International Monetary Fund.
- 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.
- 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.
- Jonathan B. Hill, 2004. "Consistent Model Specification Tests Against Smooth Transition Alternatives," Econometrics 0402004, EconWPA, revised 01 Mar 2004.
- Lucio Sarno & Daniel L. Thornton, 2002.
"The dynamic relationship between the federal funds rate and the Treasury bill rate: an empirical investigation,"
2000-032, Federal Reserve Bank of St. Louis.
- 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.
- 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.
- repec:ebl:ecbull:v:6:y:2008:i:26:p:1-18 is not listed on IDEAS
- Jonathan B. Hill, 2004.
"LM-Tests for Linearity Against Smooth Transition Alternatives: A Bootstrap Simulation Study,"
0401004, EconWPA, revised 05 Jul 2004.
- Jonathan B. Hill, 2004. "LM-Tests for Linearity Against Smooth Transition Alternatives: A Bootstrap Simulation Study," Working Papers 0412, Florida International University, Department of Economics.
- Sarno, Lucio, 2001. "The behavior of US public debt: a nonlinear perspective," Economics Letters, Elsevier, vol. 74(1), pages 119-125, December.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Helena Lundin).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.