Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials

This paper extends the conditional duration model proposed by De Luca and Zuccolotto (2003), proposing an infinite mixture of distributions based on non–exponentials which accounts for the unobserved market heterogeneity of traders. The model we propose takes into account the fact that reaction time...

Full description

Autores:
Gómez Déniz, Emilio
Perez-Rodriguez, Jorge
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66511
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66511
http://bdigital.unal.edu.co/67539/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Autoregressive conditional duration model
Exponential dis- tribution
Gamma distribution
Heterogeneity
Reciprocal inverse Gaussian distribution
Modelo de duración autorregresivo condicional
Distribución exponencial
Distribución Gamma,
Heterogeneidad
Distribución recíproca inversa gaussiana
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_63f489e4a3ad2c9f9948d5fdcc7de75c
oai_identifier_str oai:repositorio.unal.edu.co:unal/66511
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_abf2Gómez Déniz, Emilio3485d4f4-4895-44f8-bb50-950530625c1f300Perez-Rodriguez, Jorge53184331-93ed-4063-923c-adb98aed4dd03002019-07-03T02:16:24Z2019-07-03T02:16:24Z2016-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66511http://bdigital.unal.edu.co/67539/This paper extends the conditional duration model proposed by De Luca and Zuccolotto (2003), proposing an infinite mixture of distributions based on non–exponentials which accounts for the unobserved market heterogeneity of traders. The model we propose takes into account the fact that reaction times follow a gamma distribution and that the intensity parameter follows the reciprocal of an inverse Gaussian distribution. This extension allows us to capture not only various density shapes of durations, but also non–monotonic shapes of hazard functions. The model also allows us to test the unobserved heterogeneity of traders. This mixture model is easy to fit and characterises the behaviour of the conditional durations reasonably well.Este trabajo extiende el modelo de duración condicionada propuesto porLuca and Zuccolotto (2003) introduciendo una mezcla infinita de distribuciones no exponenciales que permite incorporar la heterogeneidad inobservada en el mercado por los agentes. El modelo propuesto tiene en cuenta el hecho de que el tiempo de respuesta sigue una distribución gamma y que el parámetro que mide la intensidad sigue una distribución recíproca inversa Gaussiana. Esta modelización permite no sólo capturar distintas formas de la distribución de la duración sino que también captura funciones de azar no monótonas. El modelo propuesto es fácil de ajustar a datos de duración proporcionando resultados razonables y competitivos con otros modelos utilizados en la literatura.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/51584Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaGómez Déniz, Emilio and Perez-Rodriguez, Jorge (2016) Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials. Revista Colombiana de Estadística, 39 (2). pp. 307-325. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsAutoregressive conditional duration modelExponential dis- tributionGamma distributionHeterogeneityReciprocal inverse Gaussian distributionModelo de duración autorregresivo condicionalDistribución exponencialDistribución Gamma,HeterogeneidadDistribución recíproca inversa gaussianaConditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–ExponentialsArtículo 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/ARTORIGINAL51584-300517-2-PB.pdfapplication/pdf737539https://repositorio.unal.edu.co/bitstream/unal/66511/1/51584-300517-2-PB.pdf647eb262107b6b9e86c21d590734bfd2MD51THUMBNAIL51584-300517-2-PB.pdf.jpg51584-300517-2-PB.pdf.jpgGenerated Thumbnailimage/jpeg5657https://repositorio.unal.edu.co/bitstream/unal/66511/2/51584-300517-2-PB.pdf.jpgc9de6413bc18e34d88ff0cb0016dcdc7MD52unal/66511oai:repositorio.unal.edu.co:unal/665112023-05-25 23:03:03.365Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials
title Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials
spellingShingle Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Autoregressive conditional duration model
Exponential dis- tribution
Gamma distribution
Heterogeneity
Reciprocal inverse Gaussian distribution
Modelo de duración autorregresivo condicional
Distribución exponencial
Distribución Gamma,
Heterogeneidad
Distribución recíproca inversa gaussiana
title_short Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials
title_full Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials
title_fullStr Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials
title_full_unstemmed Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials
title_sort Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials
dc.creator.fl_str_mv Gómez Déniz, Emilio
Perez-Rodriguez, Jorge
dc.contributor.author.spa.fl_str_mv Gómez Déniz, Emilio
Perez-Rodriguez, Jorge
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
Autoregressive conditional duration model
Exponential dis- tribution
Gamma distribution
Heterogeneity
Reciprocal inverse Gaussian distribution
Modelo de duración autorregresivo condicional
Distribución exponencial
Distribución Gamma,
Heterogeneidad
Distribución recíproca inversa gaussiana
dc.subject.proposal.spa.fl_str_mv Autoregressive conditional duration model
Exponential dis- tribution
Gamma distribution
Heterogeneity
Reciprocal inverse Gaussian distribution
Modelo de duración autorregresivo condicional
Distribución exponencial
Distribución Gamma,
Heterogeneidad
Distribución recíproca inversa gaussiana
description This paper extends the conditional duration model proposed by De Luca and Zuccolotto (2003), proposing an infinite mixture of distributions based on non–exponentials which accounts for the unobserved market heterogeneity of traders. The model we propose takes into account the fact that reaction times follow a gamma distribution and that the intensity parameter follows the reciprocal of an inverse Gaussian distribution. This extension allows us to capture not only various density shapes of durations, but also non–monotonic shapes of hazard functions. The model also allows us to test the unobserved heterogeneity of traders. This mixture model is easy to fit and characterises the behaviour of the conditional durations reasonably well.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:16:24Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:16:24Z
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/66511
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67539/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66511
http://bdigital.unal.edu.co/67539/
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/51584
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 Gómez Déniz, Emilio and Perez-Rodriguez, Jorge (2016) Conditional Duration Model and Unobserved Market Heterogeneity of Traders. An Infinite Mixture of Non–Exponentials. Revista Colombiana de Estadística, 39 (2). pp. 307-325. 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/66511/1/51584-300517-2-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/66511/2/51584-300517-2-PB.pdf.jpg
bitstream.checksum.fl_str_mv 647eb262107b6b9e86c21d590734bfd2
c9de6413bc18e34d88ff0cb0016dcdc7
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_ 1814090145246216192