4.6 Article

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

Journal

AIMS MATHEMATICS
Volume 6, Issue 4, Pages 4173-4196

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2021247

Keywords

Burr type-XII; Bayesian estimation; E-Bayesian estimation; E-posterior risk; adaptive type-II progressive hybrid censored data

Funding

  1. Deanship Scientific Research (DSR), King Abdulaziz University, Jeddah [G: 537-130-1441]
  2. DSR

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This paper investigates the E-Bayesian estimation of the parameter and reliability function of the Burr type-XII distribution under adaptive progressive Type-II censoring scheme, using three different prior distributions and discussing properties under squared error and LINEX loss functions. An extensive simulation study compares the E-Bayesian estimation with Bayes and maximum likelihood estimators, and a real data set analysis demonstrates the applicability of different estimators in practice.
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.

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