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Local power functions of tests for double unit roots

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  • Niels Haldrup
  • Peter Lildholdt

Abstract

The purpose of this paper is to characterize three commonly used double unit root tests in terms of their asymptotic local power. To this end we study a class of nearly doubly integrated processes which in the limit will behave as a weighted integral of a double indexed Ornstein‐Uhlenbeck process. Based on a numerical examination of the analytical distributions, a comparison of the tests is made via their asymptotic local power functions.

Suggested Citation

  • Niels Haldrup & Peter Lildholdt, 2005. "Local power functions of tests for double unit roots," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(2), pages 159-179, May.
    • Handle: RePEc:bla:stanee:v:59:y:2005:i:2:p:159-179
    DOI: 10.1111/j.1467-9574.2005.00285.x
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    Cited by:

    1. Bo Sandemann Rasmussen, "undated". "Government Debt and Capital Accumulation in the Blanchard-Cass-Yaari OLG Model," Economics Working Papers 2000-14, Department of Economics and Business Economics, Aarhus University.
    2. Nikolaj Malchow-Moeller & Bo Jellesmark Thorsen, "undated". "A Dynamic Agricultural Household Model with Uncertain Income and Irreversible and Indivisible Investments under Credit Constraints," Economics Working Papers 2000-7, Department of Economics and Business Economics, Aarhus University.
    3. Nikolaj Malchow-Moeller & Bo Jellesmark Thorsen, "undated". "Investment under Uncertainty - the Case of Repeated Investment Options," Economics Working Papers 2000-15, Department of Economics and Business Economics, Aarhus University.
    4. Kerry Patterson & Michael A. Thornton, 2013. "A review of econometric concepts and methods for empirical macroeconomics," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 2, pages 4-42, Edward Elgar Publishing.
    5. Effrosyni Diamantoudi, 2003. "Equilibrium binding agreements under diverse behavioral assumptions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 431-446, September.
    6. Anton Skrobotov, 2013. "Double Unit Roots Testing, GLS-detrending and Uncertainty over the Initial Conditions," Working Papers 0083, Gaidar Institute for Economic Policy, revised 2013.
    7. Boriss Siliverstovs, 2005. "The Bi-parameter Smooth Transition Autoregressive model," Economics Bulletin, AccessEcon, vol. 3(23), pages 1-11.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: 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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