Skip to main content

On approximation methods for nonlinear filtering

  • II. Seminars
  • Conference paper
  • First Online:
Nonlinear Filtering and Stochastic Control

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 972))

Abstract

We discuss some approximate solutions to nonlinear filtering with mixed observations, given in terms of finite-dimensional filters. Some related questions are also discussed, in particular that of obtaining robust approximations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.M.C. Clark, The design of robust approximations to the stochastic differential equations of nonlinear filtering" in J.K. Skwirzynski (ed.), "Communication systems and random process theory" Sijthoff and Noordhoff, 1978.

    Google Scholar 

  2. M.H.A. Davis, "Pathwise nonlinear filtering", in M. Hazewinkel and J.C. Willems (eds.), "Stochastic systems: the mathematics of filtering and identification and applications", Reidel 1981.

    Google Scholar 

  3. G.B. Di Masi and W.J. Runggaldier, "Continuous-time approximations for the nonlinear filtering problem", Appl. Math. and Opt. 7, 233–245, 1981.

    Article  MathSciNet  MATH  Google Scholar 

  4. G.B. Di Masi and W.J. Runggaldier, "An approximation to optimal nonlinear filtering with discontinuous observations" in M. Hazewinkel and J.C. Willems (eds.), "Stochastic systems: the mathematics of filtering and identification and applications", Reidel 1981.

    Google Scholar 

  5. G.B.Di Masi and W.J. Runggaldier, "On robust approximations in nonlinear filtering", Proc. 2nd Bad Honnef Workshop on "Stochastic differential systems" (M. Kohlmann ed.), Springer-Verlag (to appear).

    Google Scholar 

  6. B. Grigelionis, "Stochastic nonlinear filtering equations and semimartingales", this volume.

    Google Scholar 

  7. H.J. Kushner, "Probability methods for approximations in stochastic control and for elliptic equations", Academic Press, 1977.

    Google Scholar 

  8. H.J. Kushner, "A robust discrete-state approximation to the optimal nonlinear filter for a diffusion", Stochastics 3, 75–83, 1979.

    Article  MathSciNet  MATH  Google Scholar 

  9. K.R. Parthasarathy, "Probability measures on metric spaces", Academic Press, 1967.

    Google Scholar 

  10. D.W. Strook and S.R.S. Varadhan, "On the support of diffusion processes with applications to the strong maximum principle", Proc. Sixth Berkeley Symp. Math. Statist. Prob. III, 333–359, Univ. California Press, 1972.

    Google Scholar 

  11. E. Wong, "Stochastic processes in information and dynamical systems", McGraw-Hill, 1971.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Sanjoy K. Mitter Antonio Moro

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Spring-Verlag

About this paper

Cite this paper

Di Masi, G.B., Runggaldier, W.J. (1982). On approximation methods for nonlinear filtering. In: Mitter, S.K., Moro, A. (eds) Nonlinear Filtering and Stochastic Control. Lecture Notes in Mathematics, vol 972. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064864

Download citation

  • DOI: https://doi.org/10.1007/BFb0064864

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11976-0

  • Online ISBN: 978-3-540-39431-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics