Analyse statistique des modèles de croissance-fragmentation

Orateur: HOFFMANN Marc
Localisation: Université Paris Dauphine, France
Type: Séminaire de probabilités et statistiques
Site: UGE
Salle: 3B075
Date de début: 16/04/2015 - 15:00
Date de fin: 16/04/2015 - 15:00

We will review some results about the statistical inference of the branching rate of certain piecewise deterministic Markov models. Whereas their abstract statistical structure is relatively well-known from a parametric point of view, some recent applications (arising for instance from cell division models in biology) have renewed the interest of such statistical models, in particular from a non-parametric and testing point of view. In that context, new difficulties emerge, in particular from the perspective of implementing procedures. We will present some generic inference results (including a real-data study on Escherichia Coli) and explain how fragile the information is with respect to the observation scheme (namely observing data in a stationary regime, at branching times or simply the whole genealogy over a given fixed time), a point that is sometimes overlooked by practitioners.