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Digitale Medien

Asymptotic Properties of the Maximum Likelihood Estimator for Stochastic PDEs Disturbed by Small Noise (1999)

Huebner, M.

Springer

Statistical inference for stochastic processes 2 (1999), S. 57-68

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ISSN: 1572-9311

Schlagwort(e): maximum likelihood estimator ; asymptotic efficiency ; stochastic partial differential equations

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract Consider a parabolic stochastic partial differential equation perturbed by small noise observed on a time interval [0,T]. We construct the maximum likelihood estimators of the coefficients of the operators involved in these equations based on partial observations in the form of diffusion processes and show the asymptotic efficiency for loss functions with polynomial majorant as the variance goes to zero.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1009990504925

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