A note on the EM algorithm for estimation in the destructive negative binomial cure rate model |
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| Authors: | Diego I Gallardo Yolanda M Gómez Mário de Castro |
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| Institution: | 1. Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chilediego.gallardo@uda.cl;3. Instituto de Matemática e Estatística, Universidade de S?o Paulo, S?o Paulo, Brazil;4. Instituto de Ciěncias Matemáticas e de Computa??o, Universidade de S?o Paulo, S?o Carlos, Brazil |
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| Abstract: | In this note we present a modification in the EM algorithm for the destructive negative binomial cure rate model. This alteration enables us to obtain the estimates of the whole parameter vector from the complete log-likelihood function, avoiding the corresponding observed log-likelihood function, which is more involved. To achieve this goal, we resort to the mixture representation of the negative binomial distribution in terms of the Poisson and gamma distributions. |
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| Keywords: | Cure rate model negative binomial distribution survival analysis |
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