Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023

Detalhes bibliográficos
Autor(a) principal: Hasanalipour, Parisa
Data de Publicação: 2023
Outros Autores: Razmkhah, Mostafa, Mohtashami Borzadaran, Gholamreza
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://revstat.ine.pt/index.php/REVSTAT/article/view/567
Resumo: The skew-normal distribution and some of its extensions have been considered in the last two decades in view of distribution theory and the associated properties. However, less attention has been paid to other aspects of this family of distributions. In this paper, we focus on the information properties of this distribution and the distributions of order statistics of a simple random sample from the skew-normal distribution. The Shannon’s entropy as well as Kullback-Leibler divergence between the order statistics of two independent skew-normal distributions are studied. Some interesting properties of the information measures of different order statistics are presented.
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spelling Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023Kullback-Leibler informationorder statisticShannon’s entropyThe skew-normal distribution and some of its extensions have been considered in the last two decades in view of distribution theory and the associated properties. However, less attention has been paid to other aspects of this family of distributions. In this paper, we focus on the information properties of this distribution and the distributions of order statistics of a simple random sample from the skew-normal distribution. The Shannon’s entropy as well as Kullback-Leibler divergence between the order statistics of two independent skew-normal distributions are studied. Some interesting properties of the information measures of different order statistics are presented.Statistics Portugal2023-06-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://revstat.ine.pt/index.php/REVSTAT/article/view/567REVSTAT-Statistical Journal; new articleREVSTAT; new article2183-03711645-6726reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAPenghttps://revstat.ine.pt/index.php/REVSTAT/article/view/567https://revstat.ine.pt/index.php/REVSTAT/article/view/567/644Copyright (c) 2022 REVSTAT-Statistical Journalinfo:eu-repo/semantics/openAccessHasanalipour, ParisaRazmkhah, MostafaMohtashami Borzadaran, Gholamreza2023-07-01T06:30:15Zoai:revstat:article/567Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:02:13.653074Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
title Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
spellingShingle Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
Hasanalipour, Parisa
Kullback-Leibler information
order statistic
Shannon’s entropy
title_short Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
title_full Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
title_fullStr Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
title_full_unstemmed Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
title_sort Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
author Hasanalipour, Parisa
author_facet Hasanalipour, Parisa
Razmkhah, Mostafa
Mohtashami Borzadaran, Gholamreza
author_role author
author2 Razmkhah, Mostafa
Mohtashami Borzadaran, Gholamreza
author2_role author
author
dc.contributor.author.fl_str_mv Hasanalipour, Parisa
Razmkhah, Mostafa
Mohtashami Borzadaran, Gholamreza
dc.subject.por.fl_str_mv Kullback-Leibler information
order statistic
Shannon’s entropy
topic Kullback-Leibler information
order statistic
Shannon’s entropy
description The skew-normal distribution and some of its extensions have been considered in the last two decades in view of distribution theory and the associated properties. However, less attention has been paid to other aspects of this family of distributions. In this paper, we focus on the information properties of this distribution and the distributions of order statistics of a simple random sample from the skew-normal distribution. The Shannon’s entropy as well as Kullback-Leibler divergence between the order statistics of two independent skew-normal distributions are studied. Some interesting properties of the information measures of different order statistics are presented.
publishDate 2023
dc.date.none.fl_str_mv 2023-06-28
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://revstat.ine.pt/index.php/REVSTAT/article/view/567
url https://revstat.ine.pt/index.php/REVSTAT/article/view/567
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revstat.ine.pt/index.php/REVSTAT/article/view/567
https://revstat.ine.pt/index.php/REVSTAT/article/view/567/644
dc.rights.driver.fl_str_mv Copyright (c) 2022 REVSTAT-Statistical Journal
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2022 REVSTAT-Statistical Journal
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Statistics Portugal
publisher.none.fl_str_mv Statistics Portugal
dc.source.none.fl_str_mv REVSTAT-Statistical Journal; new article
REVSTAT; new article
2183-0371
1645-6726
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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