Strong limit theorems for oscillation moduli of PL-process and cumulative hazard process under truncation and censorship with applications

Authors
Sun, Liuquan Zhou, Yong
Citation
Sun, Liuquan et Zhou, Yong, Strong limit theorems for oscillation moduli of PL-process and cumulative hazard process under truncation and censorship with applications, Acta mathematica Sinica. English series (Print) , 15(2), 1999, pp. 235-244
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
15
Issue
2
Year of publication
1999
Pages
235 - 244
Database
ACNP
SICI code
Abstract
In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-1/2 moduli of PL-process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results, the exact rates of uniform convergence for various types of density and hazard function estimators are derived.