Estimation and tests in finite mixture models for censored survival data

被引：8

作者：

Lemdani, M ^{[1
]}

Pons, O ^{[1
]}

机构：

[1] FAC PHARM LILLE,F-59006 LILLE,FRANCE

来源：

STATISTICS | 1997年 / 29卷 / 04期

关键词：

asymptotic theory; censoring; likelihood ratio test; martingale; maximum likelihood; mixture models; survival analysis; susceptibility ratio;

D O I：

10.1080/02331889708802596

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 presents a survival model where the hazard function is related to a density that is either a single distribution or a mixture of k parametric distributions. The main purpose of the statistical inference is to study the ''susceptibility ratio'' parameter. Using martingale methods, we prove asymptotic properties of the maximum likelihood estimates of the model parameters and we test the hypotheses of total contamination and nonmixture.

引用

页码：363 / 388

页数：26

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