5 citations · 11 across the 7 of their papers we have counts for
10 papers
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…
Investigation of asymmetry in E. coli growth rate
Bernard Delyon, Benoîte de Saporta, Nathalie Krell +1
The data we analyze derives from the observation of numerous cells of the bacterium Escherichia coli (E. coli) growing and dividing. Single cells grow and divide to give birth to t…
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 estimation of a growth-fragmentation model observed on a genealogical tree
Marie Doumic, Marc Hoffmann, Nathalie Krell +1
We model the growth of a cell population by a piecewise deterministic Markov branching tree. Each cell splits into two offsprings at a division rate that depends on its size…