Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution

The Singh-Maddala distribution is very popular to analyze the data on income, expenditure, actuarial, environmental, and reliability related studies. To enhance its scope and application, we propose four parameters transmutedSingh-Maddala distribution, in this study. The proposed distribution is rel...

Full description

Autores:
Shahzad, Mirza Naveed
Merovci, Faton
Asghar, Zahid
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66501
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66501
http://bdigital.unal.edu.co/67529/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Moments
Parameter Estimation
Transmuted Singh-Maddala Distribution
TL-Moments
Upsidedown Bathtub Shaped Hazard Rate
distribución Singh-Maddala transmuetada
función de riesgo invertida
momentos
momentos TL
estimación de parámetros.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_9f9b5c9425f475df59dfe4e494214e77
oai_identifier_str oai:repositorio.unal.edu.co:unal/66501
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
title Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
spellingShingle Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Moments
Parameter Estimation
Transmuted Singh-Maddala Distribution
TL-Moments
Upsidedown Bathtub Shaped Hazard Rate
distribución Singh-Maddala transmuetada
función de riesgo invertida
momentos
momentos TL
estimación de parámetros.
title_short Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
title_full Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
title_fullStr Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
title_full_unstemmed Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
title_sort Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
dc.creator.fl_str_mv Shahzad, Mirza Naveed
Merovci, Faton
Asghar, Zahid
dc.contributor.author.spa.fl_str_mv Shahzad, Mirza Naveed
Merovci, Faton
Asghar, Zahid
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
Moments
Parameter Estimation
Transmuted Singh-Maddala Distribution
TL-Moments
Upsidedown Bathtub Shaped Hazard Rate
distribución Singh-Maddala transmuetada
función de riesgo invertida
momentos
momentos TL
estimación de parámetros.
dc.subject.proposal.spa.fl_str_mv Moments
Parameter Estimation
Transmuted Singh-Maddala Distribution
TL-Moments
Upsidedown Bathtub Shaped Hazard Rate
distribución Singh-Maddala transmuetada
función de riesgo invertida
momentos
momentos TL
estimación de parámetros.
description The Singh-Maddala distribution is very popular to analyze the data on income, expenditure, actuarial, environmental, and reliability related studies. To enhance its scope and application, we propose four parameters transmutedSingh-Maddala distribution, in this study. The proposed distribution is relatively more flexible than the parent distribution to model a variety of data sets. Its basic statistical properties, reliability function, and behaviors of the hazard function are derived. The hazard function showed the decreasing and an upside-down bathtub shape that is required in various survival analysis. The order statistics and generalized TL-moments with their special cases such as L-, TL-, LL-, and LH-moments are also explored. Furthermore, the maximum likelihood estimation is used to estimate the unknown parameters of the transmuted Singh-Maddala distribution. The real data sets are considered to illustrate the utility and potential of the proposed model. The results indicate that the transmuted Singh-Maddala distribution models the datasets better than its parent distribution.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:15:11Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:15:11Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
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/66501
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67529/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66501
http://bdigital.unal.edu.co/67529/
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/50085
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 Shahzad, Mirza Naveed and Merovci, Faton and Asghar, Zahid (2017) Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution. Revista Colombiana de Estadística, 40 (1). pp. 1-27. 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
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66501/1/50085-314857-1-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/66501/2/50085-314857-1-PB.pdf.jpg
bitstream.checksum.fl_str_mv 36c8fa1d550033076206feb34997fd46
645a65833d058eaab6fa2e1eb5b7a14c
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089191776059392
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_abf2Shahzad, Mirza Naveed705fdf15-a310-42f9-b96a-3422520c638e300Merovci, Faton125f23c3-8f5e-4287-ad2f-d03ade98662e300Asghar, Zahid67f3ec32-f486-494c-8d00-39b3c10b08073002019-07-03T02:15:11Z2019-07-03T02:15:11Z2017-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66501http://bdigital.unal.edu.co/67529/The Singh-Maddala distribution is very popular to analyze the data on income, expenditure, actuarial, environmental, and reliability related studies. To enhance its scope and application, we propose four parameters transmutedSingh-Maddala distribution, in this study. The proposed distribution is relatively more flexible than the parent distribution to model a variety of data sets. Its basic statistical properties, reliability function, and behaviors of the hazard function are derived. The hazard function showed the decreasing and an upside-down bathtub shape that is required in various survival analysis. The order statistics and generalized TL-moments with their special cases such as L-, TL-, LL-, and LH-moments are also explored. Furthermore, the maximum likelihood estimation is used to estimate the unknown parameters of the transmuted Singh-Maddala distribution. The real data sets are considered to illustrate the utility and potential of the proposed model. The results indicate that the transmuted Singh-Maddala distribution models the datasets better than its parent distribution.La distribución Singh-Maddala es muy popular para analizar datos deingresos, gastos, actuariales, ambientales y de confiabilidad.Para mejorar su alcance y aplicación se propone su extensión a la distribución de cuatro parámetros Singh-Maddala transmutada. Esta es más flexible en la modelación de diversos conjuntos de datos. Sus propiedades básicas, las funciones de confiabilidad y riesgos son estudiadas. La función de riesgo es decrecientes o tiene forma de bañera invertida. Como se requiere en varios estudios de sobrevivencia se exploran sus estadísticas de orden y los momentos TL, con sus casos especiales L, TL, LL y LH. Se emplea máxima verosimilitud para la estimación de los cuatro parámetros. Datos reales son usados para ilustrar la utilidad y potencialidad del modelo propuesto. Los resultados indican que la distribución propuesta ajusta mejor que la original.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/50085Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaShahzad, Mirza Naveed and Merovci, Faton and Asghar, Zahid (2017) Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution. Revista Colombiana de Estadística, 40 (1). pp. 1-27. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsMomentsParameter EstimationTransmuted Singh-Maddala DistributionTL-MomentsUpsidedown Bathtub Shaped Hazard Ratedistribución Singh-Maddala transmuetadafunción de riesgo invertidamomentosmomentos TLestimación de parámetros.Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function 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/ARTORIGINAL50085-314857-1-PB.pdfapplication/pdf938385https://repositorio.unal.edu.co/bitstream/unal/66501/1/50085-314857-1-PB.pdf36c8fa1d550033076206feb34997fd46MD51THUMBNAIL50085-314857-1-PB.pdf.jpg50085-314857-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5449https://repositorio.unal.edu.co/bitstream/unal/66501/2/50085-314857-1-PB.pdf.jpg645a65833d058eaab6fa2e1eb5b7a14cMD52unal/66501oai:repositorio.unal.edu.co:unal/665012023-05-25 23:03:01.229Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co

Publicaciones similares