Multidimensional hazard estimation under generalized censoring

被引:1
|
作者
Aguirre, Alberto Carabarin [1 ]
Ivanoff, B. Gail [1 ]
机构
[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada
来源
基金
加拿大自然科学与工程研究理事会;
关键词
Survival analysis; cumulative hazard function; censored data; adapted random set; set-indexed martingale;
D O I
10.1214/08-EJS340
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This paper focuses on the problem of the estimation of the cumulative hazard function of a distribution on d-dimensional Euclidean space when the data points are subject to censoring by an arbitrary adapted random set. A problem involving observability of the estimator proposed in [8] and [9] is resolved and a functional central limit theorem is proven for the revised estimator. Several examples and applications are discussed, and the validity of bootstrap methods is established in each case.
引用
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页码:349 / 375
页数:27
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