Artigo Acesso aberto Revisado por pares

The central limit theorem and the law of iterated logarithm for empirical processes under local conditions

1988; Springer Science+Business Media; Volume: 77; Issue: 2 Linguagem: Inglês

10.1007/bf00334041

ISSN

1432-2064

Autores

Niels Trolle Andersen, Evarist Giné, Mina Ossiander, Joel Zinn,

Tópico(s)

Advanced Banach Space Theory

Resumo

A CLT and a LIL are proved under weak-L 2 Gaussian bracketing conditions (weaker than the usual ones). These results have wide applicability and in particular provide an improvement of the Jain-Marcus central limit theorem for C(S)-valued random variables.

Referência(s)