Nonlinear filtering for jump-diffusions

  • Authors:
  • Darja Rupnik Poklukar

  • Affiliations:
  • Institute for Mathematics, Physics and Mechanics, Jadranska, Ljubljana, Slovenia

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2006

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Abstract

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.