Some Information Properties of Order Statistics of Skew-normal Distribution: Accepted - June 2023
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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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1799131688432828416 |