# 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, SKMcLachlan, GJMcGiffin, DCOBrien, MF Constrained mixture models in competing risks problems Environmetrics   Check publisher's open access policy 1180-4009 1999-01-01 Article (original research) 10.1002/(SICI)1099-095X(199911/12)10:6<753::AID-ENV388>3.3.CO;2-B 10 6 753 767 15 A.H. El-Shaarawi Chichester, UK John Wiley and Sons Ltd eng C1780101 Mathematical sciences230204 Applied Statistics 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. Mathematics, Interdisciplinary ApplicationsStatistics & ProbabilityEnvironmental SciencesCompeting RisksConstrained Mixture ModelsEm AlgorithmProportional Hazards ModelAortic-valve ReplacementMaximum-likelihoodEcm AlgorithmSurvival-data C1

 Document type: Journal Article Article (original research) School of Physical Sciences Publications

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