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LIKELIHOOD INFERENCE USING EM BASED ALGORITHM FOR COM-POISSON CURE RATE MODEL WITH GENERALIZED GAMMA LIFETIMES UNDER INTERVAL CENSORING
Keywords:
cure rate models, COM-Poisson distributions, generalized gamma lifetimes, likelihood ratio test, Akaike information criteria, Bayesian information criteriaDOI:
https://doi.org/10.17654/0972361722081Abstract
In this paper, we assume the competing causes to follow a Conway-Maxwell Poisson (COM-Poisson) distribution with lifetimes under interval censoring mechanism. COM-Poisson distribution comprises some discrete distributions such as geometric, Poisson and Bernoulli and the time-to-event distribution includes some lifetime distributions, namely, lognormal, gamma and Weibull. The flexibility of generalized gamma family of distributions is assessed by carrying out a generalized gamma simulation study using EM based algorithm for estimating the model parameters and their standard errors. A profile likelihood approach is applied to estimate the shape parameter of generalized gamma. Model discrimination is carried out based on likelihood ratio test, Akaike information criteria (AIC) and Bayesian information criteria (BIC), for varying sample sizes and cure fractions, within the generalized gamma family of distributions. A two-way modelling is carried out on a dataset, to illustrate the flexibility of the COM-Poisson family and the generalized gamma family of distributions to select the best fitted model.
Received: September 21, 2022
Revised: September 30, 2022
Accepted: October 15, 2022
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