Stochastic unit-root bilinear processes

Christian Francq, Svetlana Makarova () and Jean-Michel Zakoïan
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Jean-Michel Zakoïan: GREMARSUniversity Lille 3
Authors registered in the RePEc Author Service: Jean-Michel Zakoian

No 63, Computing in Economics and Finance 2006 from Society for Computational Economics

Abstract: A class of stochastic unit-root bilinear processes, allowing for GARCH-type effects with asymmetries, is studied. The volatility is not bounded away from zero and is minimum for non zero innovations, which are important differences with the standard GARCH. Necessary and sufficient conditions for the strict and second-order stationarity of the error process are given. The strictly stationary solution is shown to be strongly mixing under mild additional assumptions. It follows that, in this model, the standard (non-stochastic) unit-root tests of Phillips-Perron and Dickey-Fuller are asymptotically valid to detect the presence of a (stochastic) unit-root. The finite sample properties of these tests are studied via Monte Carlo experiments

Keywords: Augmented Dickey-Fuller test; Bilinear processes (search for similar items in EconPapers)
JEL-codes: C12 C22 C52 (search for similar items in EconPapers)
Date: 2006-07-04
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Persistent link: https://EconPapers.repec.org/RePEc:sce:scecfa:63

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