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Backward representation for nonstationary Markov processes with finite state space
Authors:G. B. Di Masi

P. I. Kitsul

Affiliation:

Dipartimento di Matematica Pura ed Applicata, Università di Padova and LADSEB-CNR, Via Belzoni 7-35131, Padova, Italy

Institute for the Problems of Information Transmission, Russian Academy of Sciences, Ermolovoy 19-101447, Moscow, Russia

Abstract:We consider a problem of time reversal for a nonstationary continuous-time Markov processes with k states. The proposed approach is strongly based on the backward representation of the Gaussian analog of the original Markov process.
Keywords:Reverse-time processes   forward and backward representations   backward stochastic differential equations   finite-state Markov process   square-integrable martingales
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