COM-Poisson cure rate survival models and an application to cutaneous melanoma data. (English) Zbl 1173.62074
Summary: We develop a flexible cure rate survival model by assuming the number of competing causes of the event of interest to follow the R. W. Conway and W. L. Maxwell Poisson distribution [J. Indust. Eng. XII, No. 2, 132–136 (1961)]. This model includes as special cases some of the well-known cure rate models discussed in the literature. Next, we discuss the maximum likelihood estimation of the parameters of this cure rate survival model. Finally, we illustrate the usefulness of this model by applying it to real cutaneous melanoma data.
MSC:
| 62N02 | Estimation in survival analysis and censored data |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
Keywords:
competing risks; cure rate models; long-term survival models; weighted Poisson distributions; Conway-Maxwell Poisson (COM-Poisson) distributionReferences:
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