Ukrainian Mathematical Journal

, Volume 46, Issue 8, pp 1063–1069 | Cite as

Equations of optimal nonlinear filtration and interpolation for partially observed Markov processes

  • O. A. Voina
  • M. V. -S. Sidorov


Recurrence relations are obtained for problems of optimal filtration and interpolation of partially observed discrete Markov chains. We present the system of differential equations for problems of optimal nonlinear filtration for Markov processes with continuous time and the system of inverse differential equations for problems of optimal nonlinear interpolation.


Differential Equation Markov Chain Markov Process Continuous Time Recurrence Relation 
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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • O. A. Voina
    • 1
  • M. V. -S. Sidorov
    • 1
  1. 1.Kiev UniversityKiev

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