Sur la transience du groupe des déplacements de l'espace
Sur un type de convergence intermédiaire entre la convergence en loi et la convergence en probabilité
Teoría ergódica y simetrización.
We study the relations between simetrization by a limiting process of probabilities and functions defined on a metric compacy product space and their ergodic properties.
The domain of attraction of non-Gaussian stable distribution in a Hilbert space, II
The Geometry of Model Spaces for Probability-Preserving Actions of Sofic Groups
Bowen’s notion of sofic entropy is a powerful invariant for classifying probability-preserving actions of sofic groups. It can be defined in terms of the covering numbers of certain metric spaces associated to such an action, the ‘model spaces’. The metric geometry of these model spaces can exhibit various interesting features, some of which provide other invariants of the action. This paper explores an approximate connectedness property of the model spaces, and uses it give a new proof that certain...
The invariance principle for group-valued random variables
The invariance principle for nonstationary sequences of associated random variables
The invariance principle for random variables with values in locally compact groups
The Lévy continuity theorem for nuclear groups
Let G be an abelian topological group. The Lévy continuity theorem says that if G is an LCA group, then it has the following property (PL) a sequence of Radon probability measures on G is weakly convergent to a Radon probability measure μ if and only if the corresponding sequence of Fourier transforms is pointwise convergent to the Fourier transform of μ. Boulicaut [Bo] proved that every nuclear locally convex space G has the property (PL). In this paper we prove that the property (PL) is inherited...
The lower envelope of positive self-similar Markov processes.
The martingale problem with sticky reflection conditions, and a system of particles interacting at the boundary
Théorèmes limite fonctionnels pour les processus de vraisemblance (cadre asymptotiquement non gaussien)
Théorie spectrale d'un opérateur de transition sur un espace métrique compact
Topics in Weak Convergence of Probability Measures
Topological spaces with the strong Skorokhod property.
Un résultat élémentaire de fiabilité. Application à la formule de Weierstrass sur la fonction gamma
Un théorème de la limite centrale dans
Un théorème limite central dans un hypergroupe bidimensionnel
Une condition nécessaire et suffisante pour la convergence en pseudo-loi des processus
Uniform asymptotic normality for the Bernoulli scheme
It is easy to notice that no sequence of estimators of the probability of success θ in a Bernoulli scheme can converge (when standardized) to N(0,1) uniformly in θ ∈ ]0,1[. We show that the uniform asymptotic normality can be achieved if we allow the sample size, that is, the number of Bernoulli trials, to be chosen sequentially.