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Stationarity Testing With Covariates

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  • Jansson, Michael

Abstract

Two new stationarity tests are proposed. Both tests can be viewed as generalizations of existing stationarity tests and dominate these in terms of local asymptotic power. Improvements are achieved by accommodating stationary covariates. A Monte Carlo investigation of the small sample properties of the tests is conducted, and an empirical illustration from international finance is provided.This paper has benefited from the comments of Pentti Saikkonen (the co-editor), two anonymous referees, and seminar participants at University of Aarhus, Indiana University, Purdue University, Stanford University, UC Riverside, the 2001 Nordic Econometric Meeting, and the 2001 NBER Summer Institute. A MATLAB program that implements the tests proposed in this paper is available at http://elsa.Berkeley.EDU/users/mjansson.

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  • Jansson, Michael, 2004. "Stationarity Testing With Covariates," Econometric Theory, Cambridge University Press, vol. 20(1), pages 56-94, February.
  • Handle: RePEc:cup:etheor:v:20:y:2004:i:01:p:56-94_20
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    Cited by:

    1. Tsong Ching-Chuan, 2012. "Unit Root Testing with Stationary Covariates in the Framework of Asymmetric STAR Nonlinearity," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(5), pages 1-27, December.
    2. Kurozumi, Eiji, 2009. "Construction of Stationarity Tests with Less Size Distortions," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 50(1), pages 87-105, June.
    3. Yang, Yang & Zhao, Zhao, 2020. "Quantile nonlinear unit root test with covariates and an application to the PPP hypothesis," Economic Modelling, Elsevier, vol. 93(C), pages 728-736.
    4. Jomana Amara, 2011. "Testing for stationarity using covariates: an application to purchasing power parity," Applied Economics Letters, Taylor & Francis Journals, vol. 18(13), pages 1295-1301.
    5. Tsong, Ching-Chuan, 2011. "Testing for a unit root with covariates against nonlinear alternatives," Economic Modelling, Elsevier, vol. 28(3), pages 1226-1234, May.
    6. Jushan Bai & Serena Ng, 2001. "A New Look at Panel Testing of Stationarity and the PPP Hypothesis," Economics Working Paper Archive 467, The Johns Hopkins University,Department of Economics.
    7. Lee, Cheng-Feng & Hu, Te-Chung & Li, Ping-Cheng & Tsong, Ching-Chuan, 2013. "Asymmetric behavior of unemployment rates: Evidence from the quantile covariate unit root test," Japan and the World Economy, Elsevier, vol. 28(C), pages 72-84.
    8. Tsong, Ching-Chuan & Wu, Chien-Wei & Chiu, Hsien-Hung & Lee, Cheng-Feng, 2013. "Covariate unit root tests under structural change and asymmetric STAR dynamics," Economic Modelling, Elsevier, vol. 33(C), pages 101-112.
    9. Tsong Ching-Chuan, 2012. "Unit Root Testing with Stationary Covariates in the Framework of Asymmetric STAR Nonlinearity," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(5), pages 1-27, December.
    10. Juhl, Ted, 2004. "A Lagrange multiplier stationarity test using covariates," Economics Letters, Elsevier, vol. 85(3), pages 321-326, December.
    11. Raihan, Selim & Abdullah, S M & Barkat, Aroni & Siddiqua, Salina, 2017. "Mean Reversion of the Real Exchange Rate and the validity of PPP Hypothesis in the context of Bangladesh: A Holistic Approach," MPRA Paper 77172, University Library of Munich, Germany.
    12. Cláudia Duarte, 2015. "Covariate-augmented unit root tests with mixed-frequency data," Working Papers w201507, Banco de Portugal, Economics and Research Department.
    13. Jansson, Michael, 2005. "Point optimal tests of the null hypothesis of cointegration," Journal of Econometrics, Elsevier, vol. 124(1), pages 187-201, January.
    14. Lee, Cheng-Feng & Tsong, Ching-Chuan, 2009. "Bootstrapping covariate stationarity tests for inflation rates," Economic Modelling, Elsevier, vol. 26(6), pages 1443-1448, November.
    15. Müller, Ulrich K. & Watson, Mark W., 2013. "Low-frequency robust cointegration testing," Journal of Econometrics, Elsevier, vol. 174(2), pages 66-81.
    16. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2007. "A simple, robust and powerful test of the trend hypothesis," Journal of Econometrics, Elsevier, vol. 141(2), pages 1302-1330, December.
    17. Cheng-Feng Lee & Ching-Chuan Tsong, 2013. "Bootstrapping Covariate Unit Root Tests: An Application To Inflation Rates," Bulletin of Economic Research, Wiley Blackwell, vol. 65, pages 165-174, May.
    18. Tsong, Ching-Chuan & Lee, Cheng-Feng, 2011. "Asymmetric inflation dynamics: Evidence from quantile regression analysis," Journal of Macroeconomics, Elsevier, vol. 33(4), pages 668-680.

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