EMPIRICAL PROCESS UNDER DEPENDENCE IN L(2)[0,1]

Authors
OLIVEIRA PE SUQUET C
Citation
Pe. Oliveira et C. Suquet, EMPIRICAL PROCESS UNDER DEPENDENCE IN L(2)[0,1], Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(7), 1995, pp. 939-944
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
7
Year of publication
1995
Pages
939 - 944
Database
ISI
SICI code
0764-4442(1995)321:7<939:EPUDIL>2.0.ZU;2-I
Abstract
We consider the empirical process induced by dependent variables as a random element in L(2) [0, 1]. We obtain a general tightness condition . In the strong mixing case, this allows us to improve (in the L(2) se tting) on the well known result of Yoshihara. We also give an applicat ion to associated variables which improves in the same way a recent re sult of Yu.