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Original Articles

A note on the EM algorithm for estimation in the destructive negative binomial cure rate model

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Pages 2291-2297 | Received 06 Apr 2016, Accepted 03 May 2017, Published online: 17 May 2017
 

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.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Diego I. Gallardo  http://orcid.org/0000-0001-8184-7403

Additional information

Funding

The first author acknowledges partial support from Programa de iniciación en investigación para investigadores jv´enes de la Universidad de Antofagasta, INI 16-17-01. The work of the first author is partially supported by grant Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) 11160670, Chile. The work of the third author is partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil.

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