Search Results for author: Alexandre Renaux

Found 4 papers, 1 papers with code

Natural Bayesian Cramér-Rao Bound with an Application to Covariance Estimation

no code implementations8 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.

The Fisher-Rao geometry of CES distributions

no code implementations2 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.

Riemannian optimization

Properties of a new $R$-estimator of shape matrices

no code implementations27 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.

Robust Semiparametric Efficient Estimators in Elliptical Distributions

3 code implementations6 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.

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