Skip to main content

A prediction problem for gaussian planar processes which are markovian with respect to increasing and decreasing paths

  • Infinite-dimensional Stochastic Systems And Random Fields. Stochastic Partial Differential Equations
  • Conference paper
  • First Online:
Stochastic Differential Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 96))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Carnal. Markov Properties for Certain Random Fields (Rapport interne, Ecole Polytechnique Fédérale de Lausanne, 1981)

    Google Scholar 

  2. L. Carraro. Problèmes de prédiction pour le processus de Wiener à deux paramètres. Prob. Th. and Rel. Fields, 1986

    Google Scholar 

  3. R.C. Dalang. F. Russo. A Prediction Problem for the Brownian Sheet (Preprint: J. of Multivariate analysis)

    Google Scholar 

  4. V. Mandrekar. Germ-Field Markov Property for Multiparameter Processes, Sém. de Prob. X, Lect. N in Math. 511, Springer Verlag (1976), p. 78–85

    Google Scholar 

  5. H.P. Mc Kean. Brownian Motion with a several-dimensional time, Th. Prob. Appl. 8 (1963), p. 335–354

    Google Scholar 

  6. D. Nualart. Propriedad de Markov para funciones aleatorias Gaussianas, Cuadernos de Estadistica Matematica de la Universidad de Granada, Serie A, Probabilidad, no. 5 (1980), p. 30–43

    Google Scholar 

  7. L.D. Pitt. A Markov Property for Gaussian Processes with Multi-dimensional parameter, Arch. Rat. Mech. Anal. 43 (1971), p. 367–391

    Google Scholar 

  8. Ju. Rozanov. Markov Random fields, Springer Verlag (1982)

    Google Scholar 

  9. Ju. Rozanov. Boundary Problems for Stochastic Partial Differential Equations (Preprint, Bibos, n.108)

    Google Scholar 

  10. F. Russo. Etude de la propriété de Markov étroite en relation avec les processus planaires à accroissements indépendants, Sém. de Prob. XVIII, Lect. N. in Math. 1059, Springer Verlag (1984), p. 353–387.

    Google Scholar 

  11. J.B. Walsh. Cours de troisième cycle, Univ. de Paris 6, 1976–77

    Google Scholar 

  12. J.B. Walsh. Cours de Saint-Flour XIV 1984. Lect. N. in Math. 1180, Springer-Verlag (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Hans Jürgen Engelbert Wolfgang Schmidt

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Francesco, R. (1987). A prediction problem for gaussian planar processes which are markovian with respect to increasing and decreasing paths. In: Engelbert, H.J., Schmidt, W. (eds) Stochastic Differential Systems. Lecture Notes in Control and Information Sciences, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0038926

Download citation

  • DOI: https://doi.org/10.1007/BFb0038926

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18010-4

  • Online ISBN: 978-3-540-47245-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics