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

Abstract

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.

KEYWORDS AND PHRASES:

• Adaptive-general progressive type-II censoring
• Bayesian estimation and prediction
• Gompertz distribution
• maximum likelihood estimation

Acknowledgements

The authors wish to express their sincere gratitude to the Editor in Chief, Associate Editor, and anonymous referees for their valuable comments on an earlier version that greatly improved the quality of this article.