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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1978 Volume 23, Issue 4, Pages 856–861 (Mi tvp3206)

Short Communications

On a representation of the optimal filtering estimate for Markov processes, governed by stochastic integro-differential equations with partial derivatives

O. A. Glonti

Tbilisi

Abstract: In the paper a representation (3) of the optimal filtering estimate $m(x,t)$ for partially observable Markov processes is obtained. This representation allows to find $m(x,t)$ without considering of stochastic equations in Ito's sence.

Received: 20.04.1977


 English version:
Theory of Probability and its Applications, 1979, 23:4, 824–829

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