THE SPECTRAL METHOD OF OPTIMAL FILTERING AND EXTRAPOLATION FOR JUMP-DIFFUSION MODELS
Abstract
The article deals with the optimal filtering and extrapolation problems for non-stationary stochastic differential systems with a Poisson component. To find an approximate density of the observed object’s state vector the spectral method based on the representation of robust Duncan-Mortensen-Zakai equation and Kolmogorov-Feller equation solutions in the form of orthogonal series is used.
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Review
For citations:
Rybakov K.A. THE SPECTRAL METHOD OF OPTIMAL FILTERING AND EXTRAPOLATION FOR JUMP-DIFFUSION MODELS. Civil Aviation High Technologies. 2016;(224):14-23. (In Russ.)
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