Bayes Estimation of Parameter of Burr-Type X Model Based on Type-II Censored Sample under LINEX Loss Function

2011 ◽  
Author(s):  
Bingjie Zhou
Keyword(s):  
Loss Function ◽  
Bayes Estimation ◽  
Type Ii ◽  
Linex Loss Function ◽  
Model Based ◽  
Linex Loss ◽  
Censored Sample ◽  
Type Ii Censored Sample

scholarly journals On estimation of gumbel type-ii with numerous kinds of linex loss function

2021 ◽  
Vol 1897 (1) ◽  
pp. 012008
Author(s):  
Nadia J. Fezaa Al-Obedy ◽  
Wafaa S. Hasanain
Keyword(s):  
Loss Function ◽  
Type Ii ◽  
Linex Loss Function ◽  
Linex Loss

scholarly journals E-Bayesian analysis of the Gumbel type-ii distribution under type-ii censored scheme

2015 ◽  
Vol 3 (2) ◽  
pp. 108 ◽  
Author(s):  
Hesham Reyad ◽  
Soha Othman Ahmed
Keyword(s):  
Loss Function ◽  
Shape Parameter ◽  
Quadratic Loss ◽  
Type Ii ◽  
Linex Loss Function ◽  
Censored Samples ◽  
Squared Error ◽  
Linex Loss ◽  
Symmetric Loss ◽  
Bayesian Estimators

<p>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.</p>

scholarly journals Bayesian and E-Bayesian estimation for the Kumaraswamy distribution based on type-ii censoring

2016 ◽  
Vol 4 (1) ◽  
pp. 10 ◽  
Author(s):  
Hesham Reyad ◽  
Soha Othman Ahmed
Keyword(s):  
Bayesian Estimation ◽  
Loss Function ◽  
Quadratic Loss ◽  
Type Ii ◽  
Linex Loss Function ◽  
Kumaraswamy Distribution ◽  
Squared Error ◽  
Linex Loss ◽  
Symmetric Loss ◽  
Bayesian Estimators

<p>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).</p>

Bayes Estimation of Augmenting Gamma Strength Reliability of a System under Non-informative Prior Distributions

2017 ◽  
Vol 69 (1) ◽  
pp. 87-102 ◽  
Author(s):  
N. Chandra ◽  
V.K. Rathaur
Keyword(s):  
Loss Function ◽  
Bayes Estimation ◽  
Linex Loss Function ◽  
Squared Error Loss Function ◽  
Squared Error ◽  
Linex Loss ◽  
Augmentation Strategy ◽  
Mean Square Errors ◽  
Informative Prior Distributions ◽  
Common Shape

In this article, Bayes estimation of system’s augmented strength reliability is studied under squared-error loss function (SELF) and LINEX loss function (LLF) for the generalized case of augmentation strategy plan (ASP). ASP is helpful in enhancing the strength reliability of weaker system/equipment. It is assumed that the stress (usual) and augmented strength follow a gamma distribution with common shape [Formula: see text] and scale [Formula: see text] parameters. A simulation study is performed for the comparisons of Bayes estimators of augmented strength reliability for non-informative types of prior (uniform and Jeffrey’s priors) with maximum likelihood estimators on the basis of their mean square errors and the absolute biases by simulating 1,000 Monte Carlo samples. The proposed methods are compared by analysing real and simulated datasets for illustration purpose.

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