On time reversal of piecewise deterministic Markov processes

Abstract

We study the time reversal of a general Piecewise Deterministic Markov Process (PDMP). The time reversed process is defined as $X_{(T-t)-}$, where $T$ is some given time and $X_t$ is a stationary PDMP. We obtain the parameters of the reversed process, like the jump intensity and the jump measure.