ALMOST SURE ASYMPTOTIC REPRESENTATION FOR A CLASS OF FUNCTIONALS OF THE KAPLAN-MEIER ESTIMATOR

• 成果类型: Article
• 署名作者: GIJBELS, I; VERAVERBEKE, N
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/aos/1176348256
• 发表日期: 1991
• 页码: 1457-1470
• 关键词: product-limit estimator

摘要

This paper deals with censored data estimation of a general class of von Mises-type functionals of the survival time distribution F. Conditions are given under which an almost sure asymptotic representation holds for the estimator, obtained by applying the same functional to F(n), the product-limit estimator of Kaplan and Meier.