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Testing nonlinearity: decision rules for selecting between logistic and exponential star models

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  • Jordá, Óscar
  • Escribano, Álvaro

Abstract

This paper introduces new LM specification procedures to choose between Logistic and Exponential Smooth Transition Autoregressive (ST AR) models and to improve testing for nonlinearities. The selection procedures introduced here are simpler and have better consistency and power properties than those previously available in the literature. These improvements result from analyzing the properties ofthe Taylor approximations to the transition function. Monte-CarIo and empirical evidence are provided in support of the new procedures.

Suggested Citation

  • Jordá, Óscar & Escribano, Álvaro, 1997. "Testing nonlinearity: decision rules for selecting between logistic and exponential star models," DES - Working Papers. Statistics and Econometrics. WS 6216, Universidad Carlos III de Madrid. Departamento de Estadística.
  • Handle: RePEc:cte:wsrepe:6216
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    Cited by:

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    2. Alvaro Escribano & Oscar Jorda, "undated". "Improved Testing And Specification Of Smooth Transition Regression Models," Department of Economics 97-26, California Davis - Department of Economics.
    3. Ahmad, Yamin & Craighead, William D., 2011. "Temporal aggregation and purchasing power parity persistence," Journal of International Money and Finance, Elsevier, vol. 30(5), pages 817-830, September.
    4. Yamin Ahmad & Stuart Glosser, 2011. "Searching for nonlinearities in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 43(15), pages 1829-1845.
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    7. Javier Ordóñez & Hector Sala & José I. Silva, 2011. "Oil Price Shocks and Labor Market Fluctuations," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 89-118.
    8. Engemann, Kristie M. & Owyang, Michael T., 2010. "Whatever Happened To The Business Cycle? A Bayesian Analysis Of Jobless Recoveries," Macroeconomic Dynamics, Cambridge University Press, vol. 14(5), pages 709-726, November.
    9. Franchi, Massimo & Ordóñez, Javier, 2011. "Multiple equilibria in Spanish unemployment," Structural Change and Economic Dynamics, Elsevier, vol. 22(1), pages 71-80, February.
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    11. Liew, Venus Khim-Sen & Baharumshah, Ahmad Zubaidi & Lau, Sie-Hoe, 2002. "Forecasting performance of Logistic STAR exchange rate model: The original and reparameterised versions," MPRA Paper 511, University Library of Munich, Germany.
    12. Brzoza-Brzezina, Michał & Kotłowski, Jacek, 2020. "The Nonlinear Nature Of Country Risk And Its Implications For Dsge Models," Macroeconomic Dynamics, Cambridge University Press, vol. 24(3), pages 601-628, April.
    13. Samuel S Jibao & Niek Schoeman & Ruthira Naraidoo, 2010. "Fiscal Regime Changes and the Sustainability of Fiscal Imbalance in South Africa: A Smooth Transition Error-Correction Approach," Working Papers 201023, University of Pretoria, Department of Economics.
    14. Jacek Kotłowski & Michał Brzoza-Brzezina, 2016. "The nonlinear nature of country risk," EcoMod2016 9416, EcoMod.
    15. Ordonez, Javier, 2003. "Stability and non-linear dynamics in the broad demand for money in Spain," Economics Letters, Elsevier, vol. 78(1), pages 139-146, January.
    16. Lokendra Kumawat & N. R. Bhanumurthy, 2018. "Regime-shifts in India’s monetary policy response function," Indian Economic Review, Springer, vol. 53(1), pages 167-182, December.
    17. Escribano Alvaro & Torrado María, 2018. "Nonlinear and asymmetric pricing behaviour in the Spanish gasoline market," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 22(5), pages 1-19, December.
    18. Liew, Venus Khim-Sen, 2008. "An overview on various ways of bootstrap methods," MPRA Paper 7163, University Library of Munich, Germany.
    19. Ahmad, Yamin & Lo, Ming Chien & Mykhaylova, Olena, 2013. "Volatility and persistence of simulated DSGE real exchange rates," Economics Letters, Elsevier, vol. 119(1), pages 38-41.
    20. Phiri, Andrew, 2015. "Examining asymmetric effects in the South African Philips curve: Evidence from logistic smooth transition regression (LSTR) models," MPRA Paper 64487, University Library of Munich, Germany.
    21. Christina Anderl & Guglielmo Maria Caporale, 2021. "Testing for UIP: Nonlinearities, Monetary Announcements and Interest Rate Expectations," CESifo Working Paper Series 9027, CESifo.
    22. Derek Stimel, 2010. "Choice of Aggregate Demand Proxy and its Affect on Phillips Curve Nonlinearity: U.S. Evidence," Economics Bulletin, AccessEcon, vol. 30(1), pages 543-557.
    23. Konstantin A., Kholodilin, 2003. "Identifying and Forecasting the Turns of the Japanese Business Cycle," LIDAM Discussion Papers IRES 2003008, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).

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    More about this item

    Keywords

    Smooth transtition nonlinear models;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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