Inference for Gompertz distribution under records

The parameter estimation is considered for the Gompertz distribution under frequensitst and Bayes approaches when records are available.Maximum likelihood estimators,exact and approximate confidence intervals are developed for the model parameters,and Bayes estimators of reliability performances are...

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Bibliographic Details
Published in:Journal of systems engineering and electronics 2016-02, Vol.27 (1), p.271-278
Main Authors: Wang, Liang, Shi, Yimin, Yan, Weian
Format: Article
Language:English
Subjects:
Approximation
Bayesian analysis
Computer simulation
Confidence intervals
Electronics
Estimators
Gompertz
Mathematical models
Parameter estimation
参数估计
可靠性指标
推理
最大似然估计
蒙特卡罗模拟方法
贝叶斯估计
贝叶斯方法
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Summary:The parameter estimation is considered for the Gompertz distribution under frequensitst and Bayes approaches when records are available.Maximum likelihood estimators,exact and approximate confidence intervals are developed for the model parameters,and Bayes estimators of reliability performances are obtained under different losses based on a mixture of continuous and discrete priors.To investigate the performance of the proposed estimators,a record simulation algorithm is provided and a numerical study is presented by using Monte-Carlo simulation.
ISSN:1004-4132
DOI:10.1109/JSEE.2016.00027