E-Bayesian estimation of Burr Type XII model based on adaptive Type-Ⅱ progressive hybrid censored data

• Main Authors: Hassan Okasha, Mazen Nassar, Saeed A. Dobbah
• Format: Article
• Language: English
• Published: AIMS Press 2021-02-01
• Series: AIMS Mathematics
• Subjects: burr type-xii; bayesian estimation; e-bayesian estimation; e-posterior risk; adaptive type-ⅱ progressive hybrid censored data
• Online Access: http://www.aimspress.com/article/doi/10.3934/math.2021247?viewType=HTML
• ISSN: 2473-6988

In this paper, we obtain the E-Bayesian estimation of the parameter and the reliability function of the Burr type-XII distribution under adaptive progressive Type-Ⅱ censoring scheme. The E-Bayesian estimation is investigated using three different prior distributions based on squared error and LINEX loss functions. The properties of the E-Bayesian estimation and the E-posterior risk under squared error and LINEX loss functions are also discussed. An extensive simulation study is conducted to compare the behaviour of the E-Bayesian estimation with the corresponding Bayes and maximum likelihood estimators. We analyze one real data set to show the applicability of the different estimators in practice.