4 papers
Nonparametric estimation of the jump rate in mean field interacting systems of neurons
Aline Duarte, Kadmo Laxa, Eva Löcherbach +2
We consider finite systems of interacting neurons described by non-linear Hawkes processes in a mean field frame. Neurons are described by their membrane potential. They spike…
LAN property for the parameter of the jump rate in mean field interacting systems of neurons
Aline Duarte, Dasha Loukianova, Aurélien Velleret
In the context of a large system of neurons interacting through spike events in a mean-field regime as , we characterize the estimation of a multidimensional param…
Weak conditional propagation of chaos for systems of interacting particles with nearly stable jumps
Eva Löcherbach, Dasha Loukianova, Elisa Marini
We consider a system of interacting particles, described by SDEs driven by Poisson random measures, where the coefficients depend on the empirical measure of the system. Every…
Strong propagation of chaos for systems of interacting particles with nearly stable jumps
Eva Löcherbach, Dasha Loukianova, Elisa Marini
We consider a system of interacting particles, described by SDEs driven by Poisson random measures, where the coefficients depend on the empirical measure of the system. Every…