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“GLS based unit root tests for bounded processes”

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  • Josep Lluís Carrion-i-Silvestre

    () (Faculty of Economics, University of Barcelona)

  • María Dolores Gadea

    () (Department of Applied Economics, University of Zaragoza)

Abstract

We show that the use of generalized least squares (GLS) detrending procedures leads to important empirical power gains compared to ordinary least squares (OLS) detrend- ing method when testing the null hypothesis of unit root for bounded processes. The non-centrality parameter that is used in the GLS-detrending depends on the bounds, so that improvements on the statistical inference are to be expected if a case-specific parameter is used. This initial hypothesis is supported by the simulation experiment that has been conducted.

Suggested Citation

  • Josep Lluís Carrion-i-Silvestre & María Dolores Gadea, 2013. "“GLS based unit root tests for bounded processes”," AQR Working Papers 201302, University of Barcelona, Regional Quantitative Analysis Group, revised Apr 2013.
  • Handle: RePEc:aqr:wpaper:201302
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    File URL: http://www.ub.edu/irea/working_papers/2013/201304.pdf
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    References listed on IDEAS

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    1. Cavaliere, Giuseppe, 2005. "Limited Time Series With A Unit Root," Econometric Theory, Cambridge University Press, vol. 21(05), pages 907-945, October.
    2. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    3. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Oxford University Press, vol. 61(4), pages 631-653.
    4. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    5. Perron, Pierre & Qu, Zhongjun, 2007. "A simple modification to improve the finite sample properties of Ng and Perron's unit root tests," Economics Letters, Elsevier, vol. 94(1), pages 12-19, January.
    6. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    7. Cavaliere, Giuseppe & Xu, Fang, 2014. "Testing for unit roots in bounded time series," Journal of Econometrics, Elsevier, vol. 178(P2), pages 259-272.
    8. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-287, August.
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    Cited by:

    1. Calzada, Joan & Martínez-Santos, Fernando, 2014. "Broadband prices in the European Union: Competition and commercial strategies," Information Economics and Policy, Elsevier, vol. 27(C), pages 24-38.
    2. Manuela Alcañiz & Montserrat Guillén & Daniel Sánchez-Moscona & Miguel Santolino & Oscar Llatje & Lluís Ramon, 2013. "Prevalence of alcohol-impaired drivers based on random breath tests in a roadside survey," Working Papers XREAP2013-05, Xarxa de Referència en Economia Aplicada (XREAP), revised Jul 2013.
    3. Josep Lluís Carrion-I-Silvestre & María Dolores Gadea, 2016. "Bounds, Breaks and Unit Root Tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(2), pages 165-181, March.

    More about this item

    Keywords

    Unit root; bounded process; quasi GLS-detrending. JEL classification: C12; C22;

    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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