Consistent parameter estimation for partially observed diffusions with small noise

Mattew R. James 1 François Le Gland 2
2 MEFISTO
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In this paper we provide a consistency result for the MLE for partially observed diffusion processes with small noise intensities. We prove that if the underlying deterministic system enjoys an identifiability property, then any MLE is close to the true parameter if the noise intensities are small enough. The proof uses large deviations limits obtained by PDE vanishing viscosity methods. A deterministic method of parameter estimation is formulated. We also specialize our results to a binary detection problem, and compare deterministic and stochastic notions of identifiability.
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Rapport
[Research Report] RR-1223, INRIA. 1990
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https://hal.inria.fr/inria-00075335
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Soumis le : mercredi 24 mai 2006 - 17:59:48
Dernière modification le : samedi 27 janvier 2018 - 01:31:23
Document(s) archivé(s) le : mardi 12 avril 2011 - 22:38:20

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Mattew R. James, François Le Gland. Consistent parameter estimation for partially observed diffusions with small noise. [Research Report] RR-1223, INRIA. 1990. 〈inria-00075335〉

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