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Linearity Testing in Time-Varying Smooth Transition Autoregressive Models under Unknown Degree of Persistency

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Author Info

  • Robinson Kruse

    ()
    (School of Economics and Management, Aarhus University and CREATES)

  • Rickard Sandberg

    ()
    (Department of Economic Statistics, Stockholm School of Economics)

Abstract

Building upon the work of Vogelsang (1998) and Harvey and Leybourne (2007) we derive tests that are invariant to the order of integration when the null hypothesis of linearity is tested in time-varying smooth transition models. As heteroscedasticity may lead to spurious rejections of the null hypothesis, a White correction is also considered. The asymptotic properties of the tests are studied. Our Monte Carlo simulations suggest that the newly proposed tests exhibit good size and competitive power properties. An empirical application to US inflation data from the Post-Bretton Woods period underlines the empirical usefulness of our tests.

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Bibliographic Info

Paper provided by School of Economics and Management, University of Aarhus in its series CREATES Research Papers with number 2010-36.

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Length: 28
Date of creation: 26 Jul 2010
Date of revision:
Handle: RePEc:aah:create:2010-36

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Web page: http://www.econ.au.dk/afn/

Related research

Keywords: Linearity testing; Linear I(0) and (1) models; Non-linear I(0) and I(1) models; White correction.;

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