Test for linearity against STAR models with deterministic trends
This 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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- van Dijk, Dick & Teräsvirta, Timo & Franses, Philip Hans, 2000.
"Smooth Transition Autoregressive Models - A Survey of Recent Developments,"
SSE/EFI 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.
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