Testing linearity against smooth transition autoregression using a parametric bootstrap
Abstract
When 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 Info
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Paper 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
Handle: RePEc:hhs:hastef:0276
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Related research
Keywords: 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)
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- 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,"
Working Papers
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,"
Econometrics
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.
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