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Article Dans Une Revue Annals of Statistics Année : 2009

Asymptotic normality of the Quasi Maximum Likelihood Estimator for multidimensional causal processes

Résumé

Strong consistency and asymptotic normality of the Quasi-Maximum Likelihood Estimator (QMLE) are given for a general class of multidimensional causal processes. For particular cases already studied in the literature (for instance univariate or multivariate GARCH, ARCH, ARMA-GARCH processes) the assumptions required for establishing these results are often weaker than existing conditions. The QMLE asymptotic behavior is also given for numerous new examples of univariate or multivariate processes (for instance TARCH or NLARCH processes).
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Dates et versions

hal-00193955 , version 1 (05-12-2007)

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Jean-Marc Bardet, Olivier Wintenberger. Asymptotic normality of the Quasi Maximum Likelihood Estimator for multidimensional causal processes. Annals of Statistics, 2009, 37 (5B), pp.2730-2759. ⟨10.1214/08-AOS674⟩. ⟨hal-00193955⟩
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