4.4 Article

Stable limits for the Gaussian QMLE in the non-stationary GARCH(1,1) model

Journal

ECONOMICS LETTERS
Volume 161, Issue -, Pages 135-137

Publisher

ELSEVIER SCIENCE SA
DOI: 10.1016/j.econlet.2017.09.035

Keywords

Martingale limit theorem; Domain of attraction; Stable distribution; Slowly varying sequence; Non-Stationarity; Gaussian QMLE; Regularly varying rate

Categories

Funding

  1. Research Centre of the Athens University of Economics and Business [EP-2089-01]

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We derive the limit theory of the Gaussian QMLE in the non-stationary GARCH(1,1) model when the squared innovation 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 parameters. (C) 2017 Elsevier B.V. All rights reserved.

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