Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155894 | Stochastic Processes and their Applications | 2009 | 27 Pages |
Abstract
We prove that bootstrap-type Monte Carlo particle filters approximate the optimal nonlinear filter in a time average sense uniformly with respect to the time horizon when the signal is ergodic and the particle system satisfies a tightness property. The latter is satisfied without further assumptions when the signal state space is compact, as well as in the noncompact setting when the signal is geometrically ergodic and the observations satisfy additional regularity assumptions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ramon van Handel,