ISSN:
1572-9311
Keywords:
maximum likelihood estimator
;
asymptotic efficiency
;
stochastic partial differential equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009990504925