Add to ORKGAlexander (1987) gave necessary and sufficient conditions for the central limit theorem for empirical processes on Vapnik-Cervonenkis classes of functions. In this paper we present a different version of his result using Talagrand's analytic characterization of pregaussianness (the majorizing measure condition). Our proof can be directly extended to give the corresponding result in the non-gaussian stable case
summary:Random measures derived from a stationary process of compact subsets of the Euclidean space ...
AbstractOur primary aim is to “build” versions of generalised Gaussian processes from simple, elemen...
AbstractLet αn={αn(t); t∈(0, 1)} and βn={βn(t); t∈(0, 1)} be the uniform empirical process and the u...
Alexander (1987) gave necessary and sufficient conditions for the central limit theorem for empirica...
Alexander' s (1987) central limit theorem for empirical processes on Vapnik-Cervonenkis classes of f...
AbstractAlexander′s (1987, Ann. Probab.15 178-203) central limit theorem for empirical processes on ...
Typescript (photocopy).The main goal of this dissertation is to extend Alexander's (1987) central li...
This paper establishes a central limit theorem (CLT) for empirical processes indexed by smooth funct...
We define the local empirical process, based on n i.i.d. random vectors in dimension d, in the neigh...
The central limit theorem is, with the strong law of large numbers, one of the two fundamental limit...
Sufficient conditions are found for the weak convergence of a weighted empirical process {([nu]n(C)/...
We discuss the functional central limit theorem (FCLT) for the empirical process of a moving-average...
International audienceLet $(U_n(t))_{t\in\R^d}$ be the empirical process associated to an $\R^d$-val...
In this work, a generalised version of the central limit theorem is proposed for nonlinear functiona...
The continuity of Gaussian processes is an extensively studied topic and it culminates in Talagrand’...
summary:Random measures derived from a stationary process of compact subsets of the Euclidean space ...
AbstractOur primary aim is to “build” versions of generalised Gaussian processes from simple, elemen...
AbstractLet αn={αn(t); t∈(0, 1)} and βn={βn(t); t∈(0, 1)} be the uniform empirical process and the u...
Alexander (1987) gave necessary and sufficient conditions for the central limit theorem for empirica...
Alexander' s (1987) central limit theorem for empirical processes on Vapnik-Cervonenkis classes of f...
AbstractAlexander′s (1987, Ann. Probab.15 178-203) central limit theorem for empirical processes on ...
Typescript (photocopy).The main goal of this dissertation is to extend Alexander's (1987) central li...
This paper establishes a central limit theorem (CLT) for empirical processes indexed by smooth funct...
We define the local empirical process, based on n i.i.d. random vectors in dimension d, in the neigh...
The central limit theorem is, with the strong law of large numbers, one of the two fundamental limit...
Sufficient conditions are found for the weak convergence of a weighted empirical process {([nu]n(C)/...
We discuss the functional central limit theorem (FCLT) for the empirical process of a moving-average...
International audienceLet $(U_n(t))_{t\in\R^d}$ be the empirical process associated to an $\R^d$-val...
In this work, a generalised version of the central limit theorem is proposed for nonlinear functiona...
The continuity of Gaussian processes is an extensively studied topic and it culminates in Talagrand’...
summary:Random measures derived from a stationary process of compact subsets of the Euclidean space ...
AbstractOur primary aim is to “build” versions of generalised Gaussian processes from simple, elemen...
AbstractLet αn={αn(t); t∈(0, 1)} and βn={βn(t); t∈(0, 1)} be the uniform empirical process and the u...