The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship

Authors
Zhou, Y Sun, LQ Yip, PSF
Citation
Y. Zhou et al., The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship, SCI CHINA A, 42(3), 1999, pp. 225-237
Citations number
19
Categorie Soggetti
Multidisciplinary
Journal title
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN journal
10016511 → ACNP
Volume
42
Issue
3
Year of publication
1999
Pages
225 - 237
Database
ISI
SICI code
1001-6511(199903)42:3<225:TASBOT>2.0.ZU;2-Q
Abstract
The local behavior of oscillation modulus of the product-limit (PL) process and the cumulative hazard process is investigated when the data are subjec ted to random censoring. Laws of the iterated logarithm of local oscillatio n modulus for the PL-process and the cumulative hazard process are establis hed. Some of these results are applied to obtain the almost sure best rates of convergence for various types of density estimators as well as the Baha dur-Kiefer type process.