Proportional hazards regression under progressive Type-II censoring

被引：5

作者：

Alvarez-Andrade, Sergio ^{[2
]}

Balakrishnan, N. ^{[3
]}

Bordes, Laurent ^{[1
]}

机构：

[1] Univ Pau & Pays Adour, Lab Math & Applicat, CNRS, UMR 5142, F-64013 Pau, France

[2] Univ Technol Compiegne, Lab Math Appl Compiegne, F-60205 Compiegne, France

[3] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 2009年 / 61卷 / 04期

关键词：

Counting processes; Martingales; Order statistics; Progressive censoring; Proportional hazards model; Reliability; Semiparametric; EXACT NONPARAMETRIC CONFIDENCE; RELIABILITY SAMPLING PLANS; WEIBULL DISTRIBUTION; INTERVAL ESTIMATION; PARAMETERS; LIKELIHOOD; TESTS;

D O I：

10.1007/s10463-008-0170-8

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 proposes an inferential method for the semiparametric proportional hazards model for progressively Type-II censored data. We establish martingale properties of counting processes based on progressively Type-II censored data that allow to derive the asymptotic behavior of estimators of the regression parameter, the conditional cumulative hazard rate functions, and the conditional reliability functions. A Monte Carlo study and an example are provided to illustrate the behavior of our estimators and to compare progressive Type-II censoring sampling plans with classical Type-II right censoring sampling plan.

引用

页码：887 / 903

页数：17

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