Open AccessE-Bayesian analysis of the Gumbel type-ii distribution under type-ii censored scheme
Author(s) -
Hesham Reyad,
Soha Othman Ahmed
Publication year - 2015
Publication title -
international journal of advanced mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2307-454X
DOI - 10.14419/ijams.v3i2.5093
Subject(s) - gumbel distribution , type (biology) , bayesian probability , mathematics , scheme (mathematics) , statistics , distribution (mathematics) , econometrics , biology , mathematical analysis , extreme value theory , ecology
This paper seeks to focus on Bayesian and E-Bayesian estimation for the unknown shape parameter of the Gumbel type-II distribution based on type-II censored samples. These estimators are obtained under symmetric loss function [squared error loss (SELF))] and various asymmetric loss functions [LINEX loss function (LLF), Degroot loss function (DLF), Quadratic loss function (QLF) and minimum expected loss function (MELF)]. Comparisons between the E-Bayesian estimators with the associated Bayesian estimators are investigated through a simulation study.