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Sign-based portmanteau test for ARCH-type models with heavy-tailed innovations

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  • Chen, Min
  • Zhu, Ke
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Abstract

This paper proposes a sign-based portmanteau test for diagnostic checking of ARCH-type models estimated by the least absolute deviation approach. Under the strict stationarity condition, the asymptotic distribution is obtained. The new test is applicable for very heavy-tailed innovations with only finite fractional moments. Simulations are undertaken to assess the performance of the sign-based test, as well as a comparison with other two portmanteau tests. A real empirical example for exchange rates is given to illustrate the practical usefulness of the test.

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File URL: http://mpra.ub.uni-muenchen.de/50487/
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 50487.

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Date of creation: 08 Oct 2013
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Handle: RePEc:pra:mprapa:50487

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Keywords: ARCH-type model; heavy-tailed innovation; LAD estimator; model diagnostics; sign-based portmanteau test;

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  1. Zakoïan, Jean-Michel & Wintenberger, Olivier & Francq, Christian, 2013. "GARCH models without positivity constraints: Exponential or Log GARCH?," Economics Papers from University Paris Dauphine, Paris Dauphine University 123456789/10571, Paris Dauphine University.
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