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
ISSN1432-2064
AutoresNiels Trolle Andersen, Evarist Giné, Mina Ossiander, Joel Zinn,
Tópico(s)Advanced Banach Space Theory
ResumoA 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.
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