Application of the theory of finite mixtures for the estimation of ‘cure’ rates of treated cancer patients
Statistics in MedicinePublished 1 April 1990
Nahida H. Gordon
Citations55
SJR quartileQ1
SJR score1.27
SNIP1.33
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TL;DR
The methodology, which uses census data and 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, is illustrated using data from a prospective clinical trial in breast cancer.
Abstract
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.
Keywords
Computer ScienceMedicine
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