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A Tour in the Asymptotic Theory of GARCH Estimation

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  • Christian Francq

    (Crest)

  • Jean-Michel Zakoïan

    (Crest)

Abstract

The main estimation methods of the univariate GARCH models are reviewed. A special attention is givento the asymptotic results and the quasi-maximum likelihood method.Keywords : Asymptotic properties of estimators, Efficient estimation, GARCH model, Quasi MaximumLikelihood Estimation, Weighted Least-Squares.

Suggested Citation

  • Christian Francq & Jean-Michel Zakoïan, 2008. "A Tour in the Asymptotic Theory of GARCH Estimation," Working Papers 2008-03, Center for Research in Economics and Statistics.
  • Handle: RePEc:crs:wpaper:2008-03
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    References listed on IDEAS

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    4. Nelson, Daniel B & Cao, Charles Q, 1992. "Inequality Constraints in the Univariate GARCH Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(2), pages 229-235, April.
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    7. Bougerol, Philippe & Picard, Nico, 1992. "Stationarity of Garch processes and of some nonnegative time series," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 115-127.
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    12. Francq, Christian & Zakoian, Jean-Michel, 2007. "Quasi-maximum likelihood estimation in GARCH processes when some coefficients are equal to zero," Stochastic Processes and their Applications, Elsevier, vol. 117(9), pages 1265-1284, September.
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