Test for linearity against STAR models with deterministic trends
AbstractThis paper studies the linearity test of STAR models with deterministic trends. The results show that when the data generation process includes a deterministic trend, the Wald-type statistic proposed by Teräsvirta (1994) does not follow the standard χ2 distribution, but degenerates at the speed of T. Moreover, when the test for linearity is performed based on the residual of ordinary least squares detrending, the statistical power of the test is very low even when the Wald statistic follows the χ2 distribution.
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Bibliographic InfoArticle provided by Elsevier in its journal Economics Letters.
Volume (Year): 115 (2012)
Issue (Month): 1 ()
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Web page: http://www.elsevier.com/locate/ecolet
Linearity; STAR; Deterministic trend;
Find related papers by JEL classification:
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- van Dijk, Dick & Teräsvirta, Timo & Franses, Philip Hans, 2000.
"Smooth Transition Autoregressive Models - A Survey of Recent Developments,"
Working Paper Series in Economics and Finance
380, Stockholm School of Economics, revised 17 Jan 2001.
- Dick van Dijk & Timo Terasvirta & Philip Hans Franses, 2002. "Smooth Transition Autoregressive Models — A Survey Of Recent Developments," Econometric Reviews, Taylor & Francis Journals, vol. 21(1), pages 1-47.
- van Dijk, D.J.C. & Terasvirta, T. & Franses, Ph.H.B.F., 2000. "Smooth transition autoregressive models - A survey of recent developments," Econometric Institute Research Papers EI 2000-23/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Kaufmann, Hendrik & Kruse, Robinson & Sibbertsen, Philipp, 2012.
"On tests for linearity against STAR models with deterministic trends,"
Hannover Economic Papers (HEP)
dp-492, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
- Kaufmann, Hendrik & Kruse, Robinson & Sibbertsen, Philipp, 2012. "On tests for linearity against STAR models with deterministic trends," Economics Letters, Elsevier, vol. 117(1), pages 268-271.
- Hendrik Kaufmann & Robinson Kruse & Philipp Sibbertsen, 2012. "On tests for linearity against STAR models with deterministic trends," CREATES Research Papers 2012-20, School of Economics and Management, University of Aarhus.
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