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stat.ME2017★ 1 cited
Estimation of the average number of continuous crossings for non-stationary non-diffusion processes
Romain Azaïs, Alexandre Genadot
Assume that you observe trajectories of a non-diffusive non-stationary process and that you are interested in the average number of times where the process crosses some threshold (…
stat.ME2016
A new characterization of the jump rate for piecewise-deterministic Markov processes with discrete transitions
Romain Azaïs, Alexandre Genadot
Piecewise-deterministic Markov processes form a general class of non-diffusion stochastic models that involve both deterministic trajectories and random jumps at random times. In t…