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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," The Review of Economic Studies, Review of Economic Studies Ltd, 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. 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. 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.
    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”," IREA Working Papers 201313, University of Barcelona, Research Institute of Applied Economics, revised Jul 2013.
    4. 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.
    5. 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.
    6. Alanya-Beltran, Willy, 2022. "Unit roots in lower-bounded series with outliers," Economic Modelling, Elsevier, vol. 115(C).

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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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