A class of tests of proportional hazards assumption for left-truncated and right-censored data

被引：3

作者：

Chen, Wei ^{[1
,2
]}

Wang, Dehui ^{[2
]}

Li, Yanfeng ^{[2
]}

机构：

[1] Jiangsu Univ Sci & Technol, Sch Zhangjiagang, Zhangjiagang, Peoples R China

[2] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF APPLIED STATISTICS | 2015年 / 42卷 / 11期

关键词：

proportional hazards assumption; two-sample problem; hazard ratio; left-truncated and right-censored data; counting process; 62N01; 62N03; GOODNESS-OF-FIT; COX REGRESSION-MODEL; SURVIVAL-DATA; RESIDUALS;

D O I：

10.1080/02664763.2015.1027884

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 proposed a class of tests of proportional hazards assumption for left-truncated and right-censored data based on a pair of estimators of the hazard ratio constant. Using counting process and martingale theory, the asymptotically normal distribution of the test statistic is derived and a family of consistent estimators of variance are also provided. Extensive simulation studies were conducted to evaluate the performance of the proposed test statistics under finite sample situations. Two real data sets are analyzed to illustrate our method.

引用

页码：2307 / 2320

页数：14

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