Simulation-based finite-sample linearity test against smooth transition models
AbstractIn this paper we use Monte Carlo testing techniques for testing linearity against the smooth transition models. The Monte Carlo approach allows us to introduce a new test that differs from the tests existing in the literature in two respects. First, the test is exact in the sense that the probability of rejecting the null when it is true is always less that or equal to the nominal size of the test. Second, the test is not based on an auxiliary regression obtained by replacing the model under the alternative by approximations based on a Taylor expansion. We also apply Monte Carlo testing methods for size-correcting the test proposed by Luukkonen Saikkonen and Teräsvirta (1988). Simulated annealing is used in computing values of the test statistics. The results show that the power loss implied by the auxiliary regression based test is nonexistent compared to a supremum-based test but is more substantial when compared to the other three tests under consideration.
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Bibliographic InfoPaper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 603.
Length: 21 pages
Date of creation: 17 Aug 2005
Date of revision:
Publication status: Published in Oxford Bulletin of Economics and Statistics, 2006, pages 797-812.
Note: This is the working paper version referred to in the published paper (Oxford Bulletin of Economics and Statistics 68, 797-812).
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Exact test; Monte Carlo test; Sequential Monte Carlo test; Nonlinear modelling; Panel smooth transition regression;
Other versions of this item:
- Andrés González & Timo Teräsvirta, 2006. "Simulation-based Finite Sample Linearity Test against Smooth Transition Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 797-812, December.
- 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
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-09-11 (All new papers)
- NEP-ECM-2005-09-11 (Econometrics)
- NEP-ETS-2005-09-11 (Econometric Time Series)
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