Preview
Unable to display preview. Download preview PDF.
References
C. Dellacherie, Capacités et Processus Stochastiques, Springer-Verlag, Berlin Heidelberg New York, 1972.
D.I. Hadjiev, On the structure of Gaussian martingales, Serdika 4, 1978, pp.224–231. (in Russian)
D.I. Hadjiev, Gaussian solutions of some stochastic equations, C.R.Bulgarian Acad.Sci. 34, 1981, pp. 1647–1649.
D.I. Hadjiev, An example of effective filtering and extrapolation, C.R.Bulgarian Acad.Sci. 36, 1983, pp. 1379–1382. (in Russian)
Ju.M. Kabanov, R.S. Liptser and A.N. Shiryaev, Absolute continuity and singularity of locally absolutely continuous probability distributions II, Math.Sbornik 108 (150), 1979, pp.32–61.
T. Kailath, A. Segal and M. Zakai, Fubini-type theorems for stochastic integrals, Sankhya 40, Series A, 1978, pp. 138–143.
G. Kallianpur, Stochastic filtering theory, Applications of Mathematics Vol.13, Springer-Verlag, New York Heidelberg Berlin, 1980.
R.S. Liptser, Gaussian martingales and generalization of Kalman-Bucy filter, Theory Proba.and Appl. 20, 1975, pp.292–308.
R.S.Liptser and A.N.Shiryaev, Statistics of Random Processes, Nauka, Moscow, 1974. (Engl.transl.: Applications of Mathematics Vol.5 and 6, Springer-Verlag, 1977/78.)
L.D. Minkova and D.I. Hadjiev, Representation of Gaussian processes equivalent to a Gaussian martingale, Stochastics 3, 1980, pp.251–266.
L.D. Minkova and D.I. Hadjiev, Equivalence and singularity of some Gaussian measures, Pliska 7, 1984, pp.163–169. (in Russian)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Hadjiev, D.I. (1985). Some remarks on gaussian solutions and explicit filtering formulae. In: Metivier, M., Pardoux, E. (eds) Stochastic Differential Systems Filtering and Control. Lecture Notes in Control and Information Sciences, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0005076
Download citation
DOI: https://doi.org/10.1007/BFb0005076
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15176-0
Online ISBN: 978-3-540-39253-8
eBook Packages: Springer Book Archive