Bayesian and E-Bayesian estimation for the Kumaraswamy distribution based on type-ii censoring
Author(s) -
Hesham Reyad,
Soha Othman Ahmed
Publication year - 2016
Publication title -
international journal of advanced mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2307-454X
DOI - 10.14419/ijams.v4i1.5750
Subject(s) - censoring (clinical trials) , estimator , bayes estimator , mathematics , mean squared error , bayesian probability , statistics
This paper introduces the Bayesian and E-Bayesian estimation for the shape parameter of the Kumaraswamy distribution based on type-II censored schemes. These estimators are derived under symmetric loss function [squared error loss (SELF))] and three asymmetric loss functions [LINEX loss function (LLF), Degroot loss function (DLF) and Quadratic loss function (QLF)]. Monte Carlo simulation is performed to compare the E-Bayesian estimators with the associated Bayesian estimators in terms of Mean Square Error (MSE).
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