Statistical Inference for Gompertz Distribution Using the Adaptive-General Progressive Type-II Censored Samples

In this article, we combine the adaptive progressive Type-II censoring model with the general progressive model, to obtain the estimates for the parameters of Gompertz distribution, and the Bayesian prediction intervals. Estimation is executed using the maximum likelihood method (MLE) and the Bayesi...

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Bibliographic Details
Published in:American journal of mathematical and management sciences 2021-07, Vol.40 (3), p.189-211
Main Authors: Abu-Moussa, M. H., El-Din, M. M. Mohie, Mosilhy, M. A.
Format: Article
Language:English
Subjects:
Adaptive-general progressive type-II censoring
Bayesian estimation and prediction
Gompertz distribution
maximum likelihood estimation
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Summary:In this article, we combine the adaptive progressive Type-II censoring model with the general progressive model, to obtain the estimates for the parameters of Gompertz distribution, and the Bayesian prediction intervals. Estimation is executed using the maximum likelihood method (MLE) and the Bayesian method. Bayesian estimates are constructed depending on four types of loss functions. The credible intervals and the asymptotic confidence intervals are determined for the parameters of Gompertz distribution based on the Bayesian estimates and the MLEs, respectively. Finally, a real data example and the simulation study are discussed to compare the proposed methods.
ISSN:0196-6324
2325-8454
DOI:10.1080/01966324.2020.1835590