A class of non-parametric tests in the competing risks model for comparing two samples

被引：6

作者：

Lindkvist, H ^{[1
]}

Belyaev, Y ^{[1
]}

机构：

[1] Umea Univ, Dept Math Stat, S-90187 Umea, Sweden

来源：

SCANDINAVIAN JOURNAL OF STATISTICS | 1998年 / 25卷 / 01期

关键词：

competing risks; local optimal test; martingale; neighbouring hypotheses; Nelson-Aalen estimator; reliability;

D O I：

10.1111/1467-9469.00094

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：

We consider a model when a process involving the production of elements is under inspection. The elements have possible failures due to competing risks. We assume the availability of a data set of failure times, D-1, obtained when the process is under control. Our main goal is to test if the failure rates in D-1 are equal to or less than the failure rates in another data set D-2, against "undesirable" neighbouring alternatives. A class of tests based on a two-dimensional vector statistic is obtained. Linear test statistics with weight functions giving optimal local asymptotic power are derived. Martingale techniques are used. An example illustrates the derivation of reasonable tests.

引用

页码：143 / 150

页数：8

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