no code implementations • 8 Nov 2023 • Florent Bouchard, Alexandre Renaux, Guillaume Ginolhac, Arnaud Breloy
In this paper, we propose to develop a new Cram\'er-Rao Bound (CRB) when the parameter to estimate lies in a manifold and follows a prior distribution.
no code implementations • 2 Oct 2023 • Florent Bouchard, Arnaud Breloy, Antoine Collas, Alexandre Renaux, Guillaume Ginolhac
When dealing with a parametric statistical model, a Riemannian manifold can naturally appear by endowing the parameter space with the Fisher information metric.
no code implementations • 27 Feb 2020 • Stefano Fortunati, Alexandre Renaux, Frédéric Pascal
This paper aims at presenting a simulative analysis of the main properties of a new $R$-estimator of shape matrices in Complex Elliptically Symmetric (CES) distributed observations.
3 code implementations • 6 Feb 2020 • Stefano Fortunati, Alexandre Renaux, Frédéric Pascal
The class of elliptical distributions can be seen as a semiparametric model where the finite-dimensional vector of interest is given by the location vector and by the (vectorized) covariance/scatter matrix, while the density generator represents an infinite-dimensional nuisance function.