Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors

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Autore principale: Tahir Muhammad
Natura: Artículo científico
Lingua:en
Pubblicazione: Universidad Nacional de Colombia 2015
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author Tahir Muhammad
author_facet Tahir Muhammad
contents Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors Tahir Muhammad Aslam Muhammad Física, Astronomía y Matemáticas Mixture Model Loss Function Posterior Risks Bayes Estimators Exponential Distribution Bayesian analysis of the 3-component mixture of an Exponential distribution under type-I right censoring scheme is considered in this paper. The Bayes estimators and posterior risks for the unknown parameters are derived under squared error loss function, precautionary loss function and DeGroot loss function assuming the non-informative (uniform and Jeffreys’) priors. The Bayes estimators and posterior risks are viewed as a function of the test termination time. A simulation study is given to highlight and compare the properties of the Bayes estimates. 2015 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89940050008 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.2 Vol.38
format Artículo científico
id redalyc_89940050008
institution Redalyc
language en
publishDate 2015
publisher Universidad Nacional de Colombia
spellingShingle Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors
Tahir Muhammad
Física, Astronomía y Matemáticas
Mixture Model
Loss Function
Posterior Risks
Bayes Estimators
Exponential Distribution
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors Tahir Muhammad Aslam Muhammad Física, Astronomía y Matemáticas Mixture Model Loss Function Posterior Risks Bayes Estimators Exponential Distribution Bayesian analysis of the 3-component mixture of an Exponential distribution under type-I right censoring scheme is considered in this paper. The Bayes estimators and posterior risks for the unknown parameters are derived under squared error loss function, precautionary loss function and DeGroot loss function assuming the non-informative (uniform and Jeffreys’) priors. The Bayes estimators and posterior risks are viewed as a function of the test termination time. A simulation study is given to highlight and compare the properties of the Bayes estimates. 2015 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89940050008 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.2 Vol.38
title Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors
topic Física, Astronomía y Matemáticas
Mixture Model
Loss Function
Posterior Risks
Bayes Estimators
Exponential Distribution
url https://www.redalyc.org/articulo.oa?id=89940050008