Consistent parameter estimation for partially observed diffusions with small noise
James, Matthew R. ; Le Gland, François
HAL, hal-00912056 / Harvested from HAL
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.
Publié le : 1995-07-05
Classification:  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00912056,
     author = {James, Matthew R. and Le Gland, Fran\c cois},
     title = {Consistent parameter estimation for partially observed diffusions with small noise},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00912056}
}
James, Matthew R.; Le Gland, François. Consistent parameter estimation for partially observed diffusions with small noise. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00912056/