E-Bayesian analysis of the Gumbel type-ii distribution under type-ii censored scheme | Zendy

Hesham Reyad‎ | Zendy; Soha Othman Ahmed | Zendy

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E-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.

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