The strong law under a semiparametric model for truncated and censored data

被引：2
|
作者：
Sun, Liuquan [1 ]
机构：
[1] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
STATISTICS & PROBABILITY LETTERS | 2006年 / 76卷 / 14期
基金：
中国国家自然科学基金;
关键词：
truncated and censored data; product-limit estimator; semiparametric estimation; strong law of large numbers; reverse supermartingale;
D O I：
10.1016/j.spl.2006.03.017
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：
In this paper we study integrals for any nonnegative measurable functions with respect to semiparametric estimators of the survival function and the cumulative hazard function based on left truncated and right censored data. The strong law of large numbers for these integrals is given. The results are useful in establishing strong consistency of many estimators under the semiparametric model for truncated and censored data. (C) 2006 Elsevier B.V. All rights reserved.
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页码：1550 / 1558
页数：9
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