Author： Cancho Vicente G. Louzada Francisco Ortega Edwin M.
Publisher： Taylor & Francis Ltd
ISSN： 0361-0918
Source： Communications in Statistics: Simulation and Computation, Vol.42, Iss.3, 2013-03, pp. : 586-602
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Abstract
In this article we propose a new cure rate survival model. In our approach the number of competing causes of the event of interest is assumed to follow an exponential discrete power series distribution. An advantage of our model is that it is very flexible, including several particular cases, such as, Bernoulli, geometric, Poisson, etc. Moreover, we derive the appropriate matrices for assessing local influence on the parameter estimates under different perturbation schemes and present some ways to perform global influence analysis. Distribution fitting can be tested for the best fitting in a straightforward way. Maximum likelihood estimation is discussed. Our proposed model is illustrated through cutaneous melanoma data.
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