Asymptotic properties of functional maximum-likelihood ARH parameter estimators

Abstract : In this paper, the asymptotic distribution of the maximum likelihood functional estimators of the operators involved in the formulation of gaussian ARH(1) models is studied in the case of imcomplete functional data (see Ruiz-Medina and Salmerón, 2009, Ruiz-Medina, Salmerón and Angulo, 2007, and Salmerón and Ruiz-Medina, 2009). Specifically, an extension to the functional context of the Titterington (1983, 1984) results is derived by applying a Robbins-Monro-type invariance procedure. The asymptotic properties of the functional predictors computed by applying Kalman filtering are then obtained from a functional version of Bosq (2008) results.
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Communication dans un congrès
41èmes Journées de Statistique, SFdS, Bordeaux, 2009, Bordeaux, France, France. 2009
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Soumis le : vendredi 22 mai 2009 - 09:12:17
Dernière modification le : vendredi 22 mai 2009 - 09:12:17

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  • HAL Id : inria-00386676, version 1

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Maria Dolores Ruiz-Medina. Asymptotic properties of functional maximum-likelihood ARH parameter estimators. 41èmes Journées de Statistique, SFdS, Bordeaux, 2009, Bordeaux, France, France. 2009. 〈inria-00386676〉

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