Random censoring in set-indexed survival analysis

• 成果类型: Article
• 署名作者: Ivanoff, BG; Merzbach, E
• 署名单位: University of Ottawa; Bar Ilan University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2002
• 页码: 944-971
• 关键词: spatial point-processes; kaplan-meier estimate; distributions; INDEPENDENCE; plane; tests

摘要

Using the theory of set-indexed martingales, we develop a general model for survival analysis with censored data which is parameterized by sets instead of time points. We define a set-indexed Nelson-Aalen estimator for the integrated hazard function with the presence of a censoring by a random set which is a stopping set. We prove that this estimator is asymptotically unbiased and consistent. A central limit theorem is given. This model can be applied to cases when censoring occurs in geometrical objects or patterns, and is a generalization of models with multidimensional failure times.