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Limits for the Gaussian QMLE in the Non-Stationary GARCH(1,1) Mod

Stelios Stelios and Alexandros Louka
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Stelios Stelios: Athens University of Economics and Business

No 201705, Working Papers from Athens University Of Economics and Business, Department of Economics

Abstract: We derive the limit theory of the Gaussian QMLE in the non-stationary GARCH(1,1) model when the square dinnovation process lies in the domain of attraction of a stable law. Analogously to the stationary case, when the stability parameter lies in (1, 2], we find regularly varying rates and stable limits for the QMLE of the ARCH and GARCH parame- ters.

Keywords: Martingale Limit Theorem; Domain of Attraction; Stable Distribution; Slowly Varying Sequence; Non-Stationarity; Gaussian QMLE; Regularly Varying Rate. (search for similar items in EconPapers)
JEL-codes: C32 (search for similar items in EconPapers)
Pages: 8 pages
Date: 2017-05
New Economics Papers: this item is included in nep-ecm
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