Nonlinear filtering for jump-diffusions

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摘要

The paper treats the nonlinear filtering problem for jump-diffusion processes. The optimal filter is derived for a stochastic system where the dynamics of the signal variable is described by a jump-diffusion equation. The optimal filter is described by stochastic integral equations.

论文关键词:60G35,60H20,60J75,Nonlinear filtering,Jump-diffusions,Poisson process,Measure transformation

论文评审过程:Received 10 November 2005, Available online 28 December 2005.

论文官网地址:https://doi.org/10.1016/j.cam.2005.11.014