On finite mixture of two-component gompertz lifetime model

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 Ba...

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Bibliographic Details
Published in:Journal of statistical computation and simulation 2000-08, Vol.67 (1), p.20-67
Main Authors: Al-Hussaini, Essam K., Al-Dayian, Gannat R., Adham, Samia A.
Format: Article
Language:English
Subjects:
Bayes estimates
censored samples
Heterogeneous population
Lindley's approximation
maximum likelihood
Monte Carlo simulation
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Summary: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.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949650008812033