A new cure rate model based on the Yule–Simon distribution with application to a melanoma data set

Diego I. Gallardo, Héctor W. Gómez and Heleno Bolfarine

Journal of Applied Statistics, 2017, vol. 44, issue 7, 1153-1164

Abstract: In this paper, a new survival cure rate model is introduced considering the Yule–Simon distribution [12] to model the number of concurrent causes. We study some properties of this distribution and the model arising when the distribution of the competing causes is the Weibull model. We call this distribution the Weibull–Yule–Simon distribution. Maximum likelihood estimation is conducted for model parameters. A small scale simulation study is conducted indicating satisfactory parameter recovery by the estimation approach. Results are applied to a real data set (melanoma) illustrating the fact that the model proposed can outperform traditional alternative models in terms of model fitting.

Date: 2017
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DOI: 10.1080/02664763.2016.1194385

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