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

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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… Click to show full abstract

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.

Keywords: note; destructive negative; rate model; negative binomial; cure rate; binomial cure

Journal Title: Journal of Statistical Computation and Simulation
Year Published: 2017

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