Estimation of the parameters of a mixture Weibull model for analyze cure rate

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Nurkaromah Dwidayati, Sri Haryatmi Kartiko, Subanar

2013 Applied Mathematical Sciences Vol. 7 Issue 113-116 Article Cited by 5

Abstract

Mixture models have been used to analyze clinical trials with potentially cured patients. Model parameters are estimated via an appropriate EM (Expectation Maximization) algorithm that perform the ML (Maximum Likelihood) in presence of missing data. The basic idea of the EM algorithm is to associate a complete data model to the incomplete structure that is observed in order to simplify the computation of maximum likelihood estimates. We will investigate estimators of the parameters of a mixture Weibull model for analyze cure rate of the breast cancer patient. The problem to estimated of parameters of a mixture Weibull model is solution of derivatives of loglikelihood expectation function is not close form. In this paper we introduce solution this problem with iteration support by Matlab program. © 2013 Nurkaromah Dwidayati , Sri Haryatmi Kartiko and Subanar.

Affiliations

Department of Mathematics, Gadjah Mada University, Indonesia; Department of Mathematics, Semarang State University, Indonesia