L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

# Groupe de travail de Probabilités, statistiques, théorie ergodique

Ce groupe de travail réunit les membres de l’équipe probabilités, statistique, théorie ergodique (et toutes personnes intéressées). Il a lieu le jeudi de 15h00 à 16h00.

C’est pour nous l’occasion d’exposer sur nos thèmes de recherche, d’écouter des exposés d’invités au LMPA ou de travailler sur un sujet commun (livre, article).

Responsable du groupe de travail : Nicolas Chenavier

## Prochain événement

#### Groupe de travail de Probabilités, statistiques, théorie ergodique du 21 mars

Let $(T_i)_i$ be a sequence of independent identically distributed (i.i.d.) random variables (r.v.) of interest distributed as $T$ and $(X_i)_i$ be a corresponding vector of covariates taking values on $\mathbb{R}^d$. In
censorship models the r.v. $T$ is subject to random censoring by another r.v. $C$. In this contribution we built a new kernel estimator based on the so-called synthetic data of the mean squared relative error for the regression function. We establish the uniform almost sure convergence with rate
over a compact set and its asymptotic normality. The asymptotic variance is explicitly given and as product we give a confidence bands. A simulation study has been conducted to comfort our theoretical results.

Informations : 15:00 - 16:00 Salle C115

## Evénements passés

• #### Groupe de travail de Probabilités, statistiques, théorie ergodique du 28 février

Nikolitsa Chatzigiannakidou (ULCO)

In this talk we are interested in universality phenomena. To be more explicit, if we consider a sequence of operators $T_n : X\rightarrow Y$, ($n\in\mathbb{N}$), where $X$ and $Y$ are metric spaces, an element $x\in X$ is called universal if every element of $Y$ can be approximated by a subsequence of $(T_nx)_n$. Let $X=H(\Omega)$ be the space of all holomorphic functions in a simply connected domain $\Omega\subset \mathbb{C}$ (with the topology of uniform convergence on compacta). We will focus on classes of holomorphic functions $f$, such that the pairs $(S_n(f), S_{\lambda_n}(f))_n$ perform approximations (where $S_n(f)$ is the sequence of partial sums of the Taylor expansion of $f$, around a point $\zeta\in \Omega$ and $(\lambda_n)_n$ is a strictly increasing sequence of positive integers). These functions, called doubly universal Taylor series, are universal elements for a suitable sequence of operators. We will investigate this class of functions, generalizing a result of G. Costakis and N. Tsirivas. They introduced in 2014 the concept of double universality for Taylor series, inspired by the notion of disjointness in dynamical systems.

Informations : 15:30 - 16:30 Salle C115

• #### Groupe de travail de Probabilités, statistiques, théorie ergodique du 12 mai 2014

Dirk Hofmann ()

Informations : 15:00 - 16:00 B014

mars 2019 :