ESTIMATION AND TESTS IN FINITE MIXTURE-MODELS FOR CENSORED SURVIVAL-DATA

Authors
Citation
M. Lemdani et O. Pons, ESTIMATION AND TESTS IN FINITE MIXTURE-MODELS FOR CENSORED SURVIVAL-DATA, Statistics, 29(4), 1997, pp. 363-388
Citations number
17
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
ISSN journal
02331888
Volume
29
Issue
4
Year of publication
1997
Pages
363 - 388
Database
ISI
SICI code
0233-1888(1997)29:4<363:EATIFM>2.0.ZU;2-S
Abstract
This paper presents a survival model where the hazard function is rela ted to a density that is either a single distribution or a mixture of k parametric distributions. The main purpose of the statistical infere nce is to study the ''susceptibility ratio'' parameter. Using martinga le methods, we prove asymptotic properties of the maximum likelihood e stimates of the model parameters and we test the hypotheses of total c ontamination and nonmixture.