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Stationarity testing under nonlinear models. Some asymptotic results

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  • Manuel Landajo
  • María José Presno

Abstract

Stationarity testing for nonlinear time series models which include several smooth trend components with (possibly) unknown parameters is considered. A pseudo‐Lagrange multiplier stationarity test is proposed and its asymptotic behaviour is derived. The limiting null distribution generally depends on the unknown parameters of the model. A bootstrap approach permits this problem to be circumvented and consistency of the bootstrapped test is obtained. The theoretical analysis is complemented with a simulation study which allows us to check the performance of the test in finite samples. The article ends with an empirical application.

Suggested Citation

  • Manuel Landajo & María José Presno, 2010. "Stationarity testing under nonlinear models. Some asymptotic results," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(5), pages 392-405, September.
    • Handle: RePEc:bla:jtsera:v:31:y:2010:i:5:p:392-405
    DOI: 10.1111/j.1467-9892.2010.00672.x
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    Citations

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    Cited by:

    1. Mar'ia Jos'e Presno & Manuel Landajo & Paula Fern'andez Gonz'alez, 2024. "Stochastic convergence in per capita CO$_2$ emissions. An approach from nonlinear stationarity analysis," Papers 2402.00567, arXiv.org.
    2. Presno, María José & Landajo, Manuel & Fernández González, Paula, 2018. "Stochastic convergence in per capita CO2 emissions. An approach from nonlinear stationarity analysis," Energy Economics, Elsevier, vol. 70(C), pages 563-581.
    3. Manuel Landajo & Mar'ia Jos'e Presno, 2024. "The prices of renewable commodities: A robust stationarity analysis," Papers 2402.01005, arXiv.org.
    4. Presno, María José & Landajo, Manuel & Fernández, Paula, 2012. "Non-renewable resource prices. A robust evaluation from the stationarity perspective," MPRA Paper 42523, University Library of Munich, Germany.
    5. Manuel Landajo & María José Presno, 2022. "The prices of renewable commodities: a robust stationarity analysis," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 66(2), pages 447-470, April.
    6. Ghoshray, A., 2018. "The Dynamic Properties of Natural Resource Prices," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277210, International Association of Agricultural Economists.
    7. Manuel Landajo & María Presno, 2013. "Nonparametric pseudo-Lagrange multiplier stationarity testing," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(1), pages 125-147, February.
    8. M.J., Presno & M., Landajo & P., Fernandez Gonzalez, 2017. "The Shocks To Crude Oil Production. Nonparametric Stationarity Analysis For 20 OPEC And Non-OPEC Countries," MPRA Paper 81594, University Library of Munich, Germany.
    9. Landajo, Manuel & Presno, María José, 2010. "Nonparametric pseudo-Lagrange multiplier stationarity testing," MPRA Paper 25659, University Library of Munich, Germany.
    10. Presno, María José & Landajo, Manuel & Fernández, Paula, 2014. "Non-renewable resource prices: A robust evaluation from the stationarity perspective," Resource and Energy Economics, Elsevier, vol. 36(2), pages 394-416.

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