OSCILLATION MODULUS OF THE CONDITIONAL EM PIRICAL PROCESS

Authors
LOUANI D
Citation
D. Louani, OSCILLATION MODULUS OF THE CONDITIONAL EM PIRICAL PROCESS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(6), 1996, pp. 587-592
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
6
Year of publication
1996
Pages
587 - 592
Database
ISI
SICI code
0764-4442(1996)322:6<587:OMOTCE>2.0.ZU;2-T
Abstract
We establish results on almost sure behavior of the oscillation modulu s of the conditional empirical process. We derive then a law of logari thm for the conditional density estimator and deduce the optimal windo w-widths with respect to almost sure uniform convergence.