A general recursive discrete-time filter

Author:

Elliott Robert J.

Abstract

A reference probability is explicitly constructed under which the signal and observation processes are independent. A simple, explicit recursive form is then obtained for the conditional density of the signal given the observations. Both non-linear and linear filters are considered, as well as two different information patterns.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference9 articles.

1. On measure transformations for combined filtering and parameter estimation in discrete time

2. Anderson B. D. O. (1968) State and parameter estimation in non-linear systems. Inst. Eng. Austral. Elec. Eng. Trans. 200–204.

3. Bremaud P. M. and Van Schuppen J. H. (1976) Discrete time stochastic systems. Part II: Estimation theory.

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