Trajectory composition of Poisson time changes and Markov counting systems
classification
🧮 math.PR
stat.OT
keywords
processescountingmarkovcompositionpoissontimechangeschanging
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Changing time of simple continuous-time Markov counting processes by independent unit-rate Poisson processes results in Markov counting processes for which we provide closed-form transition rates via composition of trajectories and with which we construct novel, simpler infinitesimally over-dispersed processes.
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