Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data

Modeling income, wage, wealth, expenditure and various other socialvariables have always been an issue of great concern. The Dagum distributionis considered quite handy to model such type of variables. Our focus inthis study is to derive the L-moments and TL-moments of this distributionin closed for...

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Autores:
Shahzad, Mirza Naveed
Asghar, Zahid
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73208
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73208
http://bdigital.unal.edu.co/37683/
Palabra clave:
Dagum distribution
L-moments
Method of moments
Parameter estimation
TL-moments
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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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-3422520c638e300Asghar, Zahid67f3ec32-f486-494c-8d00-39b3c10b08073002019-07-03T16:01:46Z2019-07-03T16:01:46Z2013https://repositorio.unal.edu.co/handle/unal/73208http://bdigital.unal.edu.co/37683/Modeling income, wage, wealth, expenditure and various other socialvariables have always been an issue of great concern. The Dagum distributionis considered quite handy to model such type of variables. Our focus inthis study is to derive the L-moments and TL-moments of this distributionin closed form. Using L and amp; TL-moments estimators we estimate the scaleparameter which represents the inequality of the income distribution fromthe mean income. Comparing L-moments, TL-moments and conventionalmoments, we observe that the TL-moment estimator has lessbias and rootmean square errors than those of L and conventional estimators consideredin this study. We also find that the TL-moments have smaller root meansquare errors for the coefficients of variation, skewness and kurtosis. Theseresults hold for all sample sizes we have considered in our Monte Carlo simulationstudy.application/pdfspaUniversidad Nacional de Colombiahttp://revistas.unal.edu.co/index.php/estad/article/view/39598Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaRevista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 79-93 Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 79-93 0120-1751Shahzad, Mirza Naveed and Asghar, Zahid (2013) Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data. Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 79-93 Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 79-93 0120-1751 .Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated dataArtículo 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/ARTDagum distributionL-momentsMethod of momentsParameter estimationTL-momentsORIGINAL39598-176771-1-PB.pdfapplication/pdf690772https://repositorio.unal.edu.co/bitstream/unal/73208/1/39598-176771-1-PB.pdfc607c762bcb8d3f0aa9bac7278c44147MD51THUMBNAIL39598-176771-1-PB.pdf.jpg39598-176771-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5553https://repositorio.unal.edu.co/bitstream/unal/73208/2/39598-176771-1-PB.pdf.jpga66e9218c62e8c9f7cb4a45e2db6e470MD52unal/73208oai:repositorio.unal.edu.co:unal/732082024-06-20 23:27:20.428Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data
title Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data
spellingShingle Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data
Dagum distribution
L-moments
Method of moments
Parameter estimation
TL-moments
title_short Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data
title_full Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data
title_fullStr Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data
title_full_unstemmed Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data
title_sort Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data
dc.creator.fl_str_mv Shahzad, Mirza Naveed
Asghar, Zahid
dc.contributor.author.spa.fl_str_mv Shahzad, Mirza Naveed
Asghar, Zahid
dc.subject.proposal.spa.fl_str_mv Dagum distribution
L-moments
Method of moments
Parameter estimation
TL-moments
topic Dagum distribution
L-moments
Method of moments
Parameter estimation
TL-moments
description Modeling income, wage, wealth, expenditure and various other socialvariables have always been an issue of great concern. The Dagum distributionis considered quite handy to model such type of variables. Our focus inthis study is to derive the L-moments and TL-moments of this distributionin closed form. Using L and amp; TL-moments estimators we estimate the scaleparameter which represents the inequality of the income distribution fromthe mean income. Comparing L-moments, TL-moments and conventionalmoments, we observe that the TL-moment estimator has lessbias and rootmean square errors than those of L and conventional estimators consideredin this study. We also find that the TL-moments have smaller root meansquare errors for the coefficients of variation, skewness and kurtosis. Theseresults hold for all sample sizes we have considered in our Monte Carlo simulationstudy.
publishDate 2013
dc.date.issued.spa.fl_str_mv 2013
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:01:46Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:01:46Z
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
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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.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73208
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/37683/
url https://repositorio.unal.edu.co/handle/unal/73208
http://bdigital.unal.edu.co/37683/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/estad/article/view/39598
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 79-93 Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 79-93 0120-1751
dc.relation.references.spa.fl_str_mv Shahzad, Mirza Naveed and Asghar, Zahid (2013) Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data. Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 79-93 Revista Colombiana de Estadística; Vol. 36, núm. 1 (2013); 79-93 0120-1751 .
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
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/73208/1/39598-176771-1-PB.pdf
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