Upcoming Events

Statistical Inference Problems for (nonlinear) Stochastic PDEs

December 11, 2013 3:00PM to 4:00PM
Presenter 
Igor Cialenco, Illinois Institute of Technology
Location 
Building 240, Room 1406-1407
Type 
Seminar
Series 
LANS Informal Seminar
Abstract:
We consider a parameter estimation problem to determine the drift coefficient for a large class of parabolic Stochastic PDEs driven by additive or multiplicative noise. In the first part of the talk, we derive several different classes of estimators based on the first N Fourier modes of a sample path observed continuously on a finite time interval. Second part of the talk will be devoted to Burgers equation driven either by additive or multiplicative noise. We study consistency and asymptotic normality of these estimators as number of Fourier coefficients increases, and we present some numerical simulation results.