Product-limit estimators of the survival function with twice censored data

• 成果类型: Article
• 署名作者: Patilea, Valentin; Rolin, Jean-Marie
• 署名单位: Ecole Nationale de la Statistique et de l'Analyse de l'Information (ENSAI); Universite Catholique Louvain
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/009053606000000065
• 发表日期: 2006
• 页码: 925-938
• 关键词: asymptotic properties

摘要

A model for competing (resp. complementary) risks survival data where the failure time can be left (resp. right) censored is proposed. Product-limit estimators for the survival functions of the individual risks are derived. We deduce the strong convergence of our estimators on the whole real half-line without any additional assumptions and their asymptotic normality under conditions concerning only the observed distribution. When the observations are generated according to the double censoring model introduced by Turnbull, the product-limit estimators represent upper and lower bounds for Turnbull's estimator.