An asymptotic expansion in the GARCH(1,1) model

Linton, Oliver (1997) An asymptotic expansion in the GARCH(1,1) model. Econometric Theory, 13 (4). pp. 558-581. ISSN 0266-4666
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We develop order T−1 asymptotic expansions for the quasi-maximum likelihood estimator (QMLE) and a two-step approximate QMLE in the GARCH(l,l) model. We calculate the approximate mean and skewness and, hence, the Edgeworth-B distribution function. We suggest several methods of bias reduction based on these approximations.

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