The central limit theorem for empirical processess on V-C classes: a majorizing measure approach

Autor:	Romo, Juan
Přispěvatelé:	Universidad Carlos III de Madrid. Departamento de Estadística
Rok vydání:	1993
Předmět:	Vapnik-Cervonenkis classes Estadística Majorizing measure Central limit theorem
Zdroj:	e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid instname
Popis:	Alexander (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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::495ee9e398142d0c172a73c8cc1ae2f4 http://hdl.handle.net/10016/3734 Zobrazit plný text záznamu