Constrained mixture models in competing risks problems

Ng, SK, McLachlan, GJ, McGiffin, DC and OBrien, MF (1999) Constrained mixture models in competing risks problems. Environmetrics, 10 6: 753-767. doi:10.1002/(SICI)1099-095X(199911/12)10:6<753::AID-ENV388>3.3.CO;2-B


Author Ng, SK
McLachlan, GJ
McGiffin, DC
OBrien, MF
Title Constrained mixture models in competing risks problems
Journal name Environmetrics   Check publisher's open access policy
ISSN 1180-4009
Publication date 1999-01-01
Sub-type Article (original research)
DOI 10.1002/(SICI)1099-095X(199911/12)10:6<753::AID-ENV388>3.3.CO;2-B
Volume 10
Issue 6
Start page 753
End page 767
Total pages 15
Editor A.H. El-Shaarawi
Place of publication Chichester, UK
Publisher John Wiley and Sons Ltd
Language eng
Subject C1
780101 Mathematical sciences
230204 Applied Statistics
Abstract We consider the problem of modelling the failure-time distribution, where failure is due to two distinct causes. One approach is to adopt a two-component mixture model where the components correspond to the two different causes of failure. However, routine application of this approach with typical parametric forms for the component densities proves to be inadequate in modelling the time to a re-replacement operation or death after the initial replacement of the aortic valve in the heart by a prosthesis, such as a xenograft valve. Hence we consider modifications to the usual mixture model approach to handle situations where there exists a strong dependency between the failure times of the distinct causes. With these modifications, a suitable model is able to be provided for the distribution of the time to a re-replacement operation conditional on the age of the patient at the time of the initial replacement operation. The estimate so obtained by the probability that a patient of a given age will undergo a re-replacement operation provides a useful guide to heart surgeons on the type of valve to be used in view of the patient's age. Copyright (C) 1999 John Wiley & Sons, Ltd.
Keyword Mathematics, Interdisciplinary Applications
Statistics & Probability
Environmental Sciences
Competing Risks
Constrained Mixture Models
Em Algorithm
Proportional Hazards Model
Aortic-valve Replacement
Maximum-likelihood
Ecm Algorithm
Survival-data
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Created: Wed, 11 Jun 2008, 00:25:55 EST