On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution

In this paper  we study the reliability of a multicomponent stress-strength model assuming that the components follow power Lindley model.  The maximum likelihood estimate of the reliability parameter and its asymptotic confidence interval are obtained. Applying the parametric Bootstrap technique, i...

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Autores:
Pak, Abbas
Gupta, Arjun Kumar
Khoolenjani, Nayereh Bagheri
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66488
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66488
http://bdigital.unal.edu.co/67516/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Inferencia bayesiana
intervalo de conanza Bootstrap
estimaci ón de máxima verosimilitud
modelo de resistencia al estrés
Bayesian inference
Bootstrap condence interval
Maximum likelihood estimation
Stress-strength model
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/66488
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Pak, Abbas3e431c47-2f93-4199-b135-42d1d9dbdb00300Gupta, Arjun Kumard017bb33-fd23-4b5d-9982-1b2debc8d95d300Khoolenjani, Nayereh Bagheri27d521fb-42c0-40e7-b6d1-f3b79b9796c93002019-07-03T02:13:31Z2019-07-03T02:13:31Z2018-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66488http://bdigital.unal.edu.co/67516/In this paper  we study the reliability of a multicomponent stress-strength model assuming that the components follow power Lindley model.  The maximum likelihood estimate of the reliability parameter and its asymptotic confidence interval are obtained. Applying the parametric Bootstrap technique, interval estimation of the reliability is presented.  Also, the Bayes estimate and highest posterior density credible interval of the reliability parameter are derived using suitable priors on the parameters. Because there is no closed form for the Bayes estimate, we use the Markov Chain Monte Carlo method to obtain approximate Bayes  estimate of the reliability. To evaluate the performances of different procedures,  simulation studies are conducted and an example of real data sets is provided.En este trabajo, estudiamos la fiabilidad de un modelo multicomponente de resistencia al estrés suponiendo que los componentes siguen el modelo Lindley de potencia. Se obtiene la estimación de máxima verosimilitud del parámetro de confiabilidad y su intervalo de confianza asintótico. Aplicando la técnica Bootstrap paramétrica, se presenta la estimación de intervalo de la confiabilidad. Además, la estimación de Bayes y el intervalo creíble de la densidad posterior más alta del parámetro de confiabilidad se obtienen utilizandolos antecedentes adecuados sobre los parámetros. Debido a que no existe una forma cerrada para la estimación de Bayes, utilizamos el método de Markov Chain Monte Carlo para obtener una estimación aproximada de Bayes de la confiabilidad. Para evaluar el rendimiento de diferentes procedimientos, se realizan estudios de simulación y se proporciona un ejemplo de conjuntos de datos reales.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/69621Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaPak, Abbas and Gupta, Arjun Kumar and Khoolenjani, Nayereh Bagheri (2018) On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution. Revista Colombiana de Estadística, 41 (2). pp. 251-267. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsInferencia bayesianaintervalo de conanza Bootstrapestimaci ón de máxima verosimilitudmodelo de resistencia al estrésBayesian inferenceBootstrap condence intervalMaximum likelihood estimationStress-strength modelOn Reliability in a Multicomponent Stress-Strength Model with Power Lindley DistributionArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL69621-390961-1-PB.pdfapplication/pdf460615https://repositorio.unal.edu.co/bitstream/unal/66488/1/69621-390961-1-PB.pdfb9d9114b7df94c3ad9682f3dd780e5b7MD51THUMBNAIL69621-390961-1-PB.pdf.jpg69621-390961-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6092https://repositorio.unal.edu.co/bitstream/unal/66488/2/69621-390961-1-PB.pdf.jpga7550e50032874179719d359575b094dMD52unal/66488oai:repositorio.unal.edu.co:unal/664882023-05-25 23:02:55.581Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution
title On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution
spellingShingle On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Inferencia bayesiana
intervalo de conanza Bootstrap
estimaci ón de máxima verosimilitud
modelo de resistencia al estrés
Bayesian inference
Bootstrap condence interval
Maximum likelihood estimation
Stress-strength model
title_short On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution
title_full On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution
title_fullStr On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution
title_full_unstemmed On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution
title_sort On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution
dc.creator.fl_str_mv Pak, Abbas
Gupta, Arjun Kumar
Khoolenjani, Nayereh Bagheri
dc.contributor.author.spa.fl_str_mv Pak, Abbas
Gupta, Arjun Kumar
Khoolenjani, Nayereh Bagheri
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
topic 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Inferencia bayesiana
intervalo de conanza Bootstrap
estimaci ón de máxima verosimilitud
modelo de resistencia al estrés
Bayesian inference
Bootstrap condence interval
Maximum likelihood estimation
Stress-strength model
dc.subject.proposal.spa.fl_str_mv Inferencia bayesiana
intervalo de conanza Bootstrap
estimaci ón de máxima verosimilitud
modelo de resistencia al estrés
Bayesian inference
Bootstrap condence interval
Maximum likelihood estimation
Stress-strength model
description In this paper  we study the reliability of a multicomponent stress-strength model assuming that the components follow power Lindley model.  The maximum likelihood estimate of the reliability parameter and its asymptotic confidence interval are obtained. Applying the parametric Bootstrap technique, interval estimation of the reliability is presented.  Also, the Bayes estimate and highest posterior density credible interval of the reliability parameter are derived using suitable priors on the parameters. Because there is no closed form for the Bayes estimate, we use the Markov Chain Monte Carlo method to obtain approximate Bayes  estimate of the reliability. To evaluate the performances of different procedures,  simulation studies are conducted and an example of real data sets is provided.
publishDate 2018
dc.date.issued.spa.fl_str_mv 2018-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:13:31Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:13:31Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2389-8976
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66488
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67516/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66488
http://bdigital.unal.edu.co/67516/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/estad/article/view/69621
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.references.spa.fl_str_mv Pak, Abbas and Gupta, Arjun Kumar and Khoolenjani, Nayereh Bagheri (2018) On Reliability in a Multicomponent Stress-Strength Model with Power Lindley Distribution. Revista Colombiana de Estadística, 41 (2). pp. 251-267. ISSN 2389-8976
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
institution Universidad Nacional de Colombia
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