A Bayes type formula is derived for the non-linear filter where the observation contains both general Gaussian noise as well as Cox noise whose jump intensity depends on the signal. This formula extends the well know Kallianpur-Striebel formula in the classical non-linear filter setting. We also discuss Zakai type equations for both the unnormalized conditional distribution as well as unnormalized conditional density in case the signal is a Markovian jump diffusion
AbstractIn this paper we present a system of coupled stochastic infinite dimensional differential eq...
We formulate probabilistic numerical approximations to solutions of ordinary differential equations ...
In the nonlinear filtering model yt=ht(Xt)+et, 0[less-than-or-equals, slant]t[less-than-or-equals, s...
Abstract. A Bayes type formula is derived for the non-linear filter where the obser-vation contains ...
Abstract. An elementary approach is used to derive a Bayes type formula, extend-ing the Kallianpur-S...
An elementary approach is used to derive a Bayes-type formula, extending the Kallianpur--Striebel fo...
We consider the nonlinear filtering problem where the observation noise process is n-ple Markov Gaus...
We consider non-linear filtering problem with Gaussian martingales as a noise process, and obtain it...
In this paper we study a nonlinear filtering problem for a general Markovian partially observed syst...
AbstractThe paper treats the nonlinear filtering problem for jump-diffusion processes. The optimal f...
In this paper we develop and analyze real-time and accurate filters for nonlinear filtering problems...
In this paper we explicitly solve a non-linear filtering problem with mixed observations, modelled b...
By restricting to Gaussian distributions, the optimal Bayesian filtering problem can be transformed ...
This thesis studies different aspects of the linear and the nonlinear stochastic filtering problem. ...
The conditional probability density function of the state of a stochastic dynamic system represents ...
AbstractIn this paper we present a system of coupled stochastic infinite dimensional differential eq...
We formulate probabilistic numerical approximations to solutions of ordinary differential equations ...
In the nonlinear filtering model yt=ht(Xt)+et, 0[less-than-or-equals, slant]t[less-than-or-equals, s...
Abstract. A Bayes type formula is derived for the non-linear filter where the obser-vation contains ...
Abstract. An elementary approach is used to derive a Bayes type formula, extend-ing the Kallianpur-S...
An elementary approach is used to derive a Bayes-type formula, extending the Kallianpur--Striebel fo...
We consider the nonlinear filtering problem where the observation noise process is n-ple Markov Gaus...
We consider non-linear filtering problem with Gaussian martingales as a noise process, and obtain it...
In this paper we study a nonlinear filtering problem for a general Markovian partially observed syst...
AbstractThe paper treats the nonlinear filtering problem for jump-diffusion processes. The optimal f...
In this paper we develop and analyze real-time and accurate filters for nonlinear filtering problems...
In this paper we explicitly solve a non-linear filtering problem with mixed observations, modelled b...
By restricting to Gaussian distributions, the optimal Bayesian filtering problem can be transformed ...
This thesis studies different aspects of the linear and the nonlinear stochastic filtering problem. ...
The conditional probability density function of the state of a stochastic dynamic system represents ...
AbstractIn this paper we present a system of coupled stochastic infinite dimensional differential eq...
We formulate probabilistic numerical approximations to solutions of ordinary differential equations ...
In the nonlinear filtering model yt=ht(Xt)+et, 0[less-than-or-equals, slant]t[less-than-or-equals, s...