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

被引：9

作者：

Okasha, Hassan ^{[1
,2
]}

Nassar, Mazen ^{[1
,3
]}

Dobbah, Saeed A. ^{[1
]}

机构：

[1] King AbdulAziz Univ, Fac Sci, Dept Stat, Box 80200, Jeddah 21589, Saudi Arabia

[2] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt

[3] Zagazig Univ, Fac Commerce, Dept Stat, Zagazig, Egypt

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 04期

关键词：

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

D O I：

10.3934/math.2021247

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：4173 / 4196

页数：24

共 34 条

[1] Estimation for the exponentiated Weibull model with adaptive Type-II progressive censored schemes [J].