An algorithm for fitting mixtures of Gompertz distributions to censored survival data

McLachlan, G. J., Ng, S. K., Adams, P., McGiffin, D. C. and Galbraith, A. J. (1997) An algorithm for fitting mixtures of Gompertz distributions to censored survival data. Journal of Statistical Software, 2 7: 1-23.

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Author McLachlan, G. J.
Ng, S. K.
Adams, P.
McGiffin, D. C.
Galbraith, A. J.
Title An algorithm for fitting mixtures of Gompertz distributions to censored survival data
Journal name Journal of Statistical Software   Check publisher's open access policy
ISSN 1548-7660
Publication date 1997-11
Sub-type Article (original research)
Open Access Status File (Publisher version)
Volume 2
Issue 7
Start page 1
End page 23
Total pages 23
Place of publication Alexandria, VA, United States
Publisher American Statistical Association
Language eng
Abstract We consider the tting of a mixture of two Gompertz distributions to censored survival data. This model is therefore applicable where there are two distinct causes for failure that act in a mutually exclusive manner, and the baseline failure time for each cause follows a Gompertz distribution. For example, in a study of a disease such as breast cancer, suppose that failure corresponds to death, whose cause is attributed either to breast cancer or some other cause. In this example, the mixing proportion for the component of the mixture representing time to death from a cause other than breast cancer may be interpreted to be the cure rate for breast cancer (Gordon, 1990a and 1990b). This Gompertz mixture model whose components are adjusted multiplicatively to re ect the age of the patient at the origin of the survival time, is tted by maximum likelihood via the EM algorithm (Dempster, Laird, and Rubin, 1977). There is the provision to handle the case where the mixing proportions are formulated in terms of a logistic model to depend on a vector of covariates associated with each survival time. The algorithm can also handle the case where there is only one cause of failure, but whichmay happen at innity for some patients with a nonzero probability (Farewell, 1982).
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Created: Sun, 15 Sep 2013, 05:42:47 EST by Professor Geoff Mclachlan on behalf of Mathematics