Brief paper: Distribution function tracking filter design using hybrid characteristic functions
Automatica (Journal of IFAC)
Higher Order Pathwise Numerical Approximations of SPDEs with Additive Noise
SIAM Journal on Numerical Analysis
Brief Filtering on nonlinear time-delay stochastic systems
Automatica (Journal of IFAC)
Application of nonlinear filtering to credit risk
Operations Research Letters
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In this paper we discuss the well-posedness and approximation of solutions to the Kushner equation in nonlinear filtering problems. We develop and analyze a time integration method based on the operator splitting. Also, we discuss its relation to the operator-splitting method for the Zakai equation.