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Representation and stability of nonlinear filters associated with Gaussian noises

In: Stochastic Processes

Author

Listed:
  • Hiroshi Kunita

    (Kyushu University, Department of Applied Science)

Abstract

This article discusses the nonlinear filtering problem in the case where the noise processes are not Brownian motions (white noises) but are Gaussian processes (colored noises). A likelihood ratio type formula is obtained. Then the formula is applied to proving the stability of the filters.

Suggested Citation

  • Hiroshi Kunita, 1993. "Representation and stability of nonlinear filters associated with Gaussian noises," Springer Books, in: Stamatis Cambanis & Jayanta K. Ghosh & Rajeeva L. Karandikar & Pranab K. Sen (ed.), Stochastic Processes, pages 201-210, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4615-7909-0_23
    DOI: 10.1007/978-1-4615-7909-0_23
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