Application of the theory of finite mixtures for the estimation of ‘cure’ rates of treated cancer patients | Zendy

Gordon N. H. | Zendy

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Application of the theory of finite mixtures for the estimation of ‘cure’ rates of treated cancer patients

Author(s) -

Gordon N. H.

Publication year - 1990

Publication title -

statistics in medicine

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.996

H-Index - 183

eISSN - 1097-0258

pISSN - 0277-6715

DOI - 10.1002/sim.4780090411

Subject(s) - breast cancer , statistics , cure rate , medicine , maximum likelihood , cancer , estimation , survival function , disease , clinical trial , mathematics , survival analysis , management , economics

I assume the survival function of treated cancer patients to be a mixture of two subpopulations, with c equal to the proportion who will die of other causes, and 1 — c the proportion who will die of their disease. Using census data, I estimate the parameters of the survival distribution of those patients dying of other causes, and then use follow‐up data to determine the maximum likelihood estimates of the proportion constant c and the parameters of the survival function of those dying of their disease. I illustrate the methodology using data from a prospective clinical trial in breast cancer.

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