La loi des grands nombres de Prokhorov dans les espaces de type
La loi du logarithme itéré bornée dans les espaces de Banach
La loi du logarithme itéré pour les variables aléatoires prégaussiennes à valeurs dans un espace de Banach à norme régulière
Large deviations in spaces of stable type
Le principe des sous-suites dans les espaces de Banach
Le théorème central-limite et la loi du logarithme itéré dans les espaces de Banach
Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach (suite et fin)
Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach
Lévy's probability measures on Banach spaces
Limit theorems for Banach-valued autoregressive processes. Applications to real continuous time processes.
Limit theorems for geometric functionals of Gibbs point processes
Observations are made on a point process in in a window of volume . The observation, or ‘score’ at a point , here denoted , is a function of the points within a random distance of . When the input is a Poisson or binomial point process, the large limit theory for the total score , when properly scaled and centered, is well understood. In this paper we establish general laws of large numbers, variance asymptotics, and central limit theorems for the total score for Gibbsian input ....
Limit theorems for random fields [Book]
Limit theorems for the canonical von Mises statistics with dependent data.
Limit theory for some positive stationary processes with infinite mean
We prove stable limit theorems and one-sided laws of the iterated logarithm for a class of positive, mixing, stationary, stochastic processes which contains those obtained from nonintegrable observables over certain piecewise expanding maps. This is done by extending Darling–Kac theory to a suitable family of infinite measure preserving transformations.
Local limit theorems on some non unimodular groups.
Let Gd be the semi-direct product of R*+ and Rd, d ≥ 1 and let us consider the product group Gd,N = Gd x RN, N ≥ 1. For a large class of probability measures μ on Gd,N, one prove that there exists ρ(μ) ∈ ]0,1] such that the sequence of finite measures{(n(N+3)/2 / ρ(μ)n) μ*n}n ≥ 1converges weakly to a non-degenerate measure.
Loi du logarithme itéré et types d’espaces de Banach
Lokální limitní věta pro součet nezávislých, stejně rozdělených náhodných veličin
Mean convergence theorem for multidimensional arrays of random elements in Banach spaces.
Mesures aléatoires localement finies
Multiscale Piecewise Deterministic Markov Process in infinite dimension: central limit theorem and Langevin approximation
In [A. Genadot and M. Thieullen, Averaging for a fully coupled piecewise-deterministic markov process in infinite dimensions. Adv. Appl. Probab. 44 (2012) 749–773], the authors addressed the question of averaging for a slow-fast Piecewise Deterministic Markov Process (PDMP) in infinite dimensions. In the present paper, we carry on and complete this work by the mathematical analysis of the fluctuations of the slow-fast system around the averaged limit. A central limit theorem is derived and the associated...