The Zipf-Polylog distribution: Modeling human interactions through social networks

The Zipf distribution attracts considerable attention because it helps describe data from natural as well as man-made systems. Nevertheless, in most of the cases the Zipf is only appropriate to fit data in the upper tail. This is why it is important to dispose of Zipf extensions that allow to fit th...

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Autores: Valero Baya, Jordi|||0000-0002-7827-0225, Pérez Casany, Marta|||0000-0003-3675-6902, Duarte López, Ariel|||0000-0002-7432-0344
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/369610
Acceso en línea:https://hdl.handle.net/2117/369610
https://dx.doi.org/10.1016/j.physa.2022.127680
Access Level:acceso abierto
Palabra clave:Statistics
Zipf’s law
Network analysis
Mixture distribution
Overdispersion
Degree sequence
Estadística
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling The Zipf-Polylog distribution: Modeling human interactions through social networksValero Baya, Jordi|||0000-0002-7827-0225Pérez Casany, Marta|||0000-0003-3675-6902Duarte López, Ariel|||0000-0002-7432-0344StatisticsZipf’s lawNetwork analysisMixture distributionOverdispersionDegree sequenceEstadísticaÀrees temàtiques de la UPC::Matemàtiques i estadísticaThe Zipf distribution attracts considerable attention because it helps describe data from natural as well as man-made systems. Nevertheless, in most of the cases the Zipf is only appropriate to fit data in the upper tail. This is why it is important to dispose of Zipf extensions that allow to fit the data in its entire range. In this paper, we introduce the Zipf-Polylog family of distributions as a two-parameter generalization of the Zipf. The extended family contains the Zipf, the geometric, the logarithmic series and the shifted negative binomial with two successes, as particular distributions. We deduce important properties of the new family and demonstrate its suitability by analyzing the degree sequence of two real networks in all its range.Peer Reviewed20222022-10-0120222022-07-05journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/369610https://dx.doi.org/10.1016/j.physa.2022.127680reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3696102026-05-27T15:37:01Z
dc.title.none.fl_str_mv The Zipf-Polylog distribution: Modeling human interactions through social networks
title The Zipf-Polylog distribution: Modeling human interactions through social networks
spellingShingle The Zipf-Polylog distribution: Modeling human interactions through social networks
Valero Baya, Jordi|||0000-0002-7827-0225
Statistics
Zipf’s law
Network analysis
Mixture distribution
Overdispersion
Degree sequence
Estadística
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short The Zipf-Polylog distribution: Modeling human interactions through social networks
title_full The Zipf-Polylog distribution: Modeling human interactions through social networks
title_fullStr The Zipf-Polylog distribution: Modeling human interactions through social networks
title_full_unstemmed The Zipf-Polylog distribution: Modeling human interactions through social networks
title_sort The Zipf-Polylog distribution: Modeling human interactions through social networks
dc.creator.none.fl_str_mv Valero Baya, Jordi|||0000-0002-7827-0225
Pérez Casany, Marta|||0000-0003-3675-6902
Duarte López, Ariel|||0000-0002-7432-0344
author Valero Baya, Jordi|||0000-0002-7827-0225
author_facet Valero Baya, Jordi|||0000-0002-7827-0225
Pérez Casany, Marta|||0000-0003-3675-6902
Duarte López, Ariel|||0000-0002-7432-0344
author_role author
author2 Pérez Casany, Marta|||0000-0003-3675-6902
Duarte López, Ariel|||0000-0002-7432-0344
author2_role author
author
dc.subject.none.fl_str_mv Statistics
Zipf’s law
Network analysis
Mixture distribution
Overdispersion
Degree sequence
Estadística
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Statistics
Zipf’s law
Network analysis
Mixture distribution
Overdispersion
Degree sequence
Estadística
Àrees temàtiques de la UPC::Matemàtiques i estadística
description The Zipf distribution attracts considerable attention because it helps describe data from natural as well as man-made systems. Nevertheless, in most of the cases the Zipf is only appropriate to fit data in the upper tail. This is why it is important to dispose of Zipf extensions that allow to fit the data in its entire range. In this paper, we introduce the Zipf-Polylog family of distributions as a two-parameter generalization of the Zipf. The extended family contains the Zipf, the geometric, the logarithmic series and the shifted negative binomial with two successes, as particular distributions. We deduce important properties of the new family and demonstrate its suitability by analyzing the degree sequence of two real networks in all its range.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-10-01
2022
2022-07-05
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/369610
https://dx.doi.org/10.1016/j.physa.2022.127680
url https://hdl.handle.net/2117/369610
https://dx.doi.org/10.1016/j.physa.2022.127680
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
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