Nonlinear filtering and measure-valued processes
@article{Crisan1997NonlinearFA, title={Nonlinear filtering and measure-valued processes}, author={Dan Crisan and Terry Lyons}, journal={Probability Theory and Related Fields}, year={1997}, volume={109}, pages={217-244} }
Summary. We construct a sequence of branching particle systems with time and space dependent branching mechanisms whose expectation converges to the solution of the Zakai equation. This gives an alternative numerical method to solve the Filtering Problem.
82 Citations
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A sequence of branching particle systems Un convergent in distribution to the solution of the Zakai equation is constructed, which can be used to solve numerically the filtering problem.
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