# Publications and Preprints

Zakai equation of nonlinear filtering with Ornstein-Uhlenbeck noise: Existence and Uniqueness
by
Abhay Bhatt, Balram Rajput and Jie Xiong
We consider a filtering model where the noise is an Ornstein-Uhlenbeck process independent of the signal $X$. The signal is assumed to be a Markov difusion process. We derive the (analogue of) Zakai equation in this setup. It is a system of two measure valued equations satisfied by the unnormalised conditional distribution. We also prove uniqueness of solution to these equations.

isid/ms/2002/18 [fulltext]