5 citations · 11 across the 7 of their papers we have counts for
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Nonparametric estimation of jump rates for a specific class of Piecewise Deterministic Markov Processes
Nathalie Krell, Emeline Schmisser
In this paper, we consider a piecewise deterministic Markov process (PDMP), with known flow and deterministic transition measure, and unknown jump rate . To estimate nonparametr…
Non-parametric estimation of the spiking rate in systems of interacting neurons
Pierre Hodara, Nathalie Krell, Eva Löcherbach
We consider a model of interacting neurons where the membrane potentials of the neurons are described by a multidimensional piecewise deterministic Markov process (PDMP) with value…
Statistical estimation of jump rates for a specific class of Piecewise Deterministic Markov Processes
Nathalie Krell
We consider the class of Piecewise Deterministic Markov Processes (PDMP), whose state space is , that possess an increasing deterministic motion and that shrink determ…
Piecewise deterministic Markov process - recent results
Romain Azaïs, Jean-Baptiste Bardet, Alexandre Genadot +2
We give a short overview of recent results on a specific class of Markov process: the Piecewise Deterministic Markov Processes (PDMPs). We first recall the definition of these proc…
Statistical analysis of self-similar conservative fragmentation chains
Marc Hoffmann, Nathalie Krell
We explore statistical inference in self-similar conservative fragmentation chains when only approximate observations of the sizes of the fragments below a given threshold are avai…