Ultra log-concavity of discrete order statistics

In this work we show that discrete order statistics preserve log-concavity and ultra log-concavity. We use a recursive expression for discrete order statistics and the concept of synchronized sequences. This finding allows to conclude that Poisson order statistics are underdispersed.

Detalles Bibliográficos
Autores: Badiella Busquets, Llorenç|||0000-0002-9653-7421, Castillo, Joan del|||0000-0001-9169-0120, Puig, Pedro|||0000-0002-6607-9642
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:283158
Acceso en línea:https://ddd.uab.cat/record/283158
https://dx.doi.org/urn:doi:10.1016/j.spl.2023.109900
Access Level:acceso abierto
Palabra clave:Poisson distribution
Underdispersion
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spelling Ultra log-concavity of discrete order statisticsBadiella Busquets, Llorenç|||0000-0002-9653-7421Castillo, Joan del|||0000-0001-9169-0120Puig, Pedro|||0000-0002-6607-9642Poisson distributionUnderdispersionIn this work we show that discrete order statistics preserve log-concavity and ultra log-concavity. We use a recursive expression for discrete order statistics and the concept of synchronized sequences. This finding allows to conclude that Poisson order statistics are underdispersed. 22023-01-0120232023-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/283158https://dx.doi.org/urn:doi:10.1016/j.spl.2023.109900reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 CEX2020-001084-MAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 RTI2018-096072-B-I00open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2831582026-06-06T12:50:31Z
dc.title.none.fl_str_mv Ultra log-concavity of discrete order statistics
title Ultra log-concavity of discrete order statistics
spellingShingle Ultra log-concavity of discrete order statistics
Badiella Busquets, Llorenç|||0000-0002-9653-7421
Poisson distribution
Underdispersion
title_short Ultra log-concavity of discrete order statistics
title_full Ultra log-concavity of discrete order statistics
title_fullStr Ultra log-concavity of discrete order statistics
title_full_unstemmed Ultra log-concavity of discrete order statistics
title_sort Ultra log-concavity of discrete order statistics
dc.creator.none.fl_str_mv Badiella Busquets, Llorenç|||0000-0002-9653-7421
Castillo, Joan del|||0000-0001-9169-0120
Puig, Pedro|||0000-0002-6607-9642
author Badiella Busquets, Llorenç|||0000-0002-9653-7421
author_facet Badiella Busquets, Llorenç|||0000-0002-9653-7421
Castillo, Joan del|||0000-0001-9169-0120
Puig, Pedro|||0000-0002-6607-9642
author_role author
author2 Castillo, Joan del|||0000-0001-9169-0120
Puig, Pedro|||0000-0002-6607-9642
author2_role author
author
dc.subject.none.fl_str_mv Poisson distribution
Underdispersion
topic Poisson distribution
Underdispersion
description In this work we show that discrete order statistics preserve log-concavity and ultra log-concavity. We use a recursive expression for discrete order statistics and the concept of synchronized sequences. This finding allows to conclude that Poisson order statistics are underdispersed.
publishDate 2023
dc.date.none.fl_str_mv 2
2023-01-01
2023
2023-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
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dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/283158
https://dx.doi.org/urn:doi:10.1016/j.spl.2023.109900
url https://ddd.uab.cat/record/283158
https://dx.doi.org/urn:doi:10.1016/j.spl.2023.109900
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 CEX2020-001084-M
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 RTI2018-096072-B-I00
dc.rights.none.fl_str_mv open access
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https://creativecommons.org/licenses/by/4.0/
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
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