Generalized exponential distribution: A Bayesian approach using MCMC methods
The generalized exponential distribution could be a good option to analyse lifetime data, as an alternative for the use of standard existing lifetime distributions as exponential, Weibull or gamma distributions. Assuming different non-informative prior distributions for the parameters of the model,...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Growing Science
2015-01-01
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Series: | Management Science Letters |
Subjects: | |
Online Access: | http://www.growingscience.com/ijiec/IJIEC_2014_27.pdf |
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author | Jorge Alberto Achcar Fernando Antȏnio Moala Juliana Boleta |
author_facet | Jorge Alberto Achcar Fernando Antȏnio Moala Juliana Boleta |
author_sort | Jorge Alberto Achcar |
collection | DOAJ |
description | The generalized exponential distribution could be a good option to analyse lifetime data, as an alternative for the use of standard existing lifetime distributions as exponential, Weibull or gamma distributions. Assuming different non-informative prior distributions for the parameters of the model, we introduce a Bayesian analysis using Markov Chain Monte Carlo (MCMC) methods. Some numerical illustrations considering simulated and real lifetime data are presented to illustrate the proposed methodology, especially the effects of different priors on the posterior summaries of interest. |
first_indexed | 2024-04-12T01:59:45Z |
format | Article |
id | doaj.art-e5e2f350c6484e26afe3ba6d69b31486 |
institution | Directory Open Access Journal |
issn | 1923-2926 1923-9335 |
language | English |
last_indexed | 2024-04-12T01:59:45Z |
publishDate | 2015-01-01 |
publisher | Growing Science |
record_format | Article |
series | Management Science Letters |
spelling | doaj.art-e5e2f350c6484e26afe3ba6d69b314862022-12-22T03:52:43ZengGrowing ScienceManagement Science Letters1923-29261923-93352015-01-016111410.5267/j.ijiec.2014.8.002Generalized exponential distribution: A Bayesian approach using MCMC methodsJorge Alberto AchcarFernando Antȏnio MoalaJuliana BoletaThe generalized exponential distribution could be a good option to analyse lifetime data, as an alternative for the use of standard existing lifetime distributions as exponential, Weibull or gamma distributions. Assuming different non-informative prior distributions for the parameters of the model, we introduce a Bayesian analysis using Markov Chain Monte Carlo (MCMC) methods. Some numerical illustrations considering simulated and real lifetime data are presented to illustrate the proposed methodology, especially the effects of different priors on the posterior summaries of interest.http://www.growingscience.com/ijiec/IJIEC_2014_27.pdfGeneralized exponential distributionNon-informative priorsBayesian analysisMCMC methods |
spellingShingle | Jorge Alberto Achcar Fernando Antȏnio Moala Juliana Boleta Generalized exponential distribution: A Bayesian approach using MCMC methods Management Science Letters Generalized exponential distribution Non-informative priors Bayesian analysis MCMC methods |
title | Generalized exponential distribution: A Bayesian approach using MCMC methods |
title_full | Generalized exponential distribution: A Bayesian approach using MCMC methods |
title_fullStr | Generalized exponential distribution: A Bayesian approach using MCMC methods |
title_full_unstemmed | Generalized exponential distribution: A Bayesian approach using MCMC methods |
title_short | Generalized exponential distribution: A Bayesian approach using MCMC methods |
title_sort | generalized exponential distribution a bayesian approach using mcmc methods |
topic | Generalized exponential distribution Non-informative priors Bayesian analysis MCMC methods |
url | http://www.growingscience.com/ijiec/IJIEC_2014_27.pdf |
work_keys_str_mv | AT jorgealbertoachcar generalizedexponentialdistributionabayesianapproachusingmcmcmethods AT fernandoantoniomoala generalizedexponentialdistributionabayesianapproachusingmcmcmethods AT julianaboleta generalizedexponentialdistributionabayesianapproachusingmcmcmethods |