On finite mixture of two-component gompertz lifetime model
- 1 August 2000
- journal article
- research article
- Published by Informa UK Limited in Journal of Statistical Computation and Simulation
- Vol. 67 (1), 20-67
- https://doi.org/10.1080/00949650008812033
Abstract
The Gompertz distribution has been used as a growth model, especially in epidemiological and biomedical studies. Based on Type I and II censored samples from a heterogeneous population that can be represented by a finite mixture of two-component Gompertz lifetime model, the maximum likelihood and Bayes estimates of the parameters, reliability and hazard rate functions are obtained. An approximation form due to Lindley (1980) is used in obtaining the corresponding Bayes estimates. The maximum likelihood and Bayes estimates are comparedvia a Monte Carlo simulation study.Keywords
This publication has 17 references indexed in Scilit:
- Entropic analysis of biological growth modelsIEEE Transactions on Biomedical Engineering, 1993
- Modeling tumor growthMathematical Biosciences, 1991
- A birth and death process with logistic mean populationCommunications in Statistics - Theory and Methods, 1991
- Quasi goodness of fit tests for lifetime distributionsMetrika, 1990
- Application of the theory of finite mixtures for the estimation of ‘cure’ rates of treated cancer patientsStatistics in Medicine, 1990
- Maximum likelihood estimation for mixtures of two gompertz distributions when censoring occursCommunications in Statistics - Simulation and Computation, 1990
- Gompertzian growth as a consequence of tumor heterogeneityMathematical Biosciences, 1985
- Remarks on the non-identifiability of mixtures of distributionsAnnals of the Institute of Statistical Mathematics, 1982
- Approximate Bayesian methodsTrabajos de estadistica y de investigacion operativa, 1980
- Dynamics of Tumor GrowthBritish Journal of Cancer, 1964