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GLS-based unit root tests for bounded processes

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  • Carrion-i-Silvestre, Josep Lluís
  • Gadea, María Dolores

Abstract

We show that the use of generalized least squares (GLS-)detrending procedures with bound-specific non-centrality parameter leads to important empirical power gains compared to using the ordinary least squares (OLS-)detrending method when testing the null hypothesis of unit root for bounded processes.

Suggested Citation

  • Carrion-i-Silvestre, Josep Lluís & Gadea, María Dolores, 2013. "GLS-based unit root tests for bounded processes," Economics Letters, Elsevier, vol. 120(2), pages 184-187.
  • Handle: RePEc:eee:ecolet:v:120:y:2013:i:2:p:184-187
    DOI: 10.1016/j.econlet.2013.04.016
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    References listed on IDEAS

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    1. 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.
    2. Cavaliere, Giuseppe, 2005. "Limited Time Series With A Unit Root," Econometric Theory, Cambridge University Press, vol. 21(5), pages 907-945, October.
    3. 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.
    4. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    5. 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.
    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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    Citations

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    Cited by:

    1. 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.
    2. Alanya-Beltran, Willy, 2022. "Unit roots in lower-bounded series with outliers," Economic Modelling, Elsevier, vol. 115(C).
    3. 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.
    4. 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.
    5. Georgios Mavropoulos & Theodore Panagiotidis, 2020. "Why Young Adults Retreat from Marriage? An Easterlin Relative Income Approach," Discussion Paper Series 2020_01, Department of Economics, University of Macedonia, revised Jan 2020.
    6. Josep Lluís Carrion-i-Silvestre & María Dolores Gadea, 2021. ""Detecting multiple level shifts in bounded time series"," IREA Working Papers 202115, University of Barcelona, Research Institute of Applied Economics, revised Jul 2021.

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    More about this item

    Keywords

    Unit root; Bounded process; Quasi-GLS-detrending;
    All these keywords.

    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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