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Admissible and Nonadmissible Test in Unit-Root-like Situations

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  • Werner Ploberger

Abstract

In this paper I investigate the asymptotic behavior of tests for problems with locally asymptotically quadratic likelihood. I present necessary and sufficient conditions for a test to be admissible. Even without these restrictive parametric assumptions, I can show that certain common procedures - like the ADF-test in case no deterministic trend is present or standard tests for restrictions on cointegrating relationships are asymptotically inadmissible. Hence we show the existence of tests which dominate these classical tests for all parameters

Suggested Citation

  • Werner Ploberger, 2004. "Admissible and Nonadmissible Test in Unit-Root-like Situations," Econometric Society 2004 North American Summer Meetings 555, Econometric Society.
  • Handle: RePEc:ecm:nasm04:555
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    Cited by:

    1. Marc Hallin & Ramon van den Akker & Bas Werker, 2009. "A class of Simple Semiparametrically Efficient Rank-Based Unit Root Tests," Working Papers ECARES 2009_001, ULB -- Universite Libre de Bruxelles.
    2. repec:hal:journl:peer-00834424 is not listed on IDEAS
    3. Hallin, M. & van den Akker, R. & Werker, B.J.M., 2011. "A Class of Simple Distribution-free Rank-based Unit Root Tests (Revision of DP 2010-72)," Discussion Paper 2011-002, Tilburg University, Center for Economic Research.
    4. Zhou, Bo, 2017. "Semiparametric inference for non-LAN models," Other publications TiSEM 0ea4fd8a-937d-4c19-8f77-f, Tilburg University, School of Economics and Management.
    5. Hallin, Marc & van den Akker, Ramon & Werker, Bas J.M., 2011. "A class of simple distribution-free rank-based unit root tests," Journal of Econometrics, Elsevier, pages 200-214.

    More about this item

    Keywords

    Test; unit roots; locally asymptotically quadratic;

    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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