On finite mixture of two-component gompertz lifetime model

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:

• Heterogeneous population
• censored samples
• maximum likelihood
• Bayes estimates
• Lindley's approximation
• Monte Carlo simulation

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Notes

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