Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics

The estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach. The exact expression of the expected Fisher information matrix of the parameters in the distribution...

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Detalles Bibliográficos
Autores principales: Kim, Chansoo, Kim, Woosuk
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4216690/
https://www.ncbi.nlm.nih.gov/pubmed/25541624
http://dx.doi.org/10.1155/2014/512039
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author Kim, Chansoo
Kim, Woosuk
author_facet Kim, Chansoo
Kim, Woosuk
author_sort Kim, Chansoo
collection PubMed
description The estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach. The exact expression of the expected Fisher information matrix of the parameters in the distribution is obtained. Also, an approximation based on Lindley is used to obtain the Bayes estimator. To compare the maximum likelihood estimator and the Bayes estimator of the parameters, Monte Carlo simulation study is performed.
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spelling pubmed-42166902014-12-25 Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics Kim, Chansoo Kim, Woosuk ScientificWorldJournal Research Article The estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach. The exact expression of the expected Fisher information matrix of the parameters in the distribution is obtained. Also, an approximation based on Lindley is used to obtain the Bayes estimator. To compare the maximum likelihood estimator and the Bayes estimator of the parameters, Monte Carlo simulation study is performed. Hindawi Publishing Corporation 2014 2014-10-19 /pmc/articles/PMC4216690/ /pubmed/25541624 http://dx.doi.org/10.1155/2014/512039 Text en Copyright © 2014 C. Kim and W. Kim. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Kim, Chansoo
Kim, Woosuk
Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics
title Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics
title_full Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics
title_fullStr Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics
title_full_unstemmed Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics
title_short Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics
title_sort estimation of the parameters of burr type iii distribution based on dual generalized order statistics
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4216690/
https://www.ncbi.nlm.nih.gov/pubmed/25541624
http://dx.doi.org/10.1155/2014/512039
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