On the exact distribution of order statistics arising from a doubly truncated bivariate elliptical distribution

This paper studies the “truncated extended skew elliptically contoured” (TESEC) distributions and their related properties, which have never been discussed in the literature. In particular, we show that the exact distributions of order statistics arising from a doubly truncated bivariate elliptical...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Metron (Rome) 2018-04, Vol.76 (1), p.99-114
Hauptverfasser: Roozegar, Roohollah, Jamalizadeh, Ahad, Amiri, Mehdi, Lin, Tsung-I
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 114
container_issue 1
container_start_page 99
container_title Metron (Rome)
container_volume 76
creator Roozegar, Roohollah
Jamalizadeh, Ahad
Amiri, Mehdi
Lin, Tsung-I
description This paper studies the “truncated extended skew elliptically contoured” (TESEC) distributions and their related properties, which have never been discussed in the literature. In particular, we show that the exact distributions of order statistics arising from a doubly truncated bivariate elliptical distribution can be formulated as a mixture of six TESEC distributions. The explicit formulae for computing the corresponding first two moments are also derived. The proposed results are illustrated with a real dataset relating to the mineral content in humerus bones on the dominant and non-dominant sides.
doi_str_mv 10.1007/s40300-017-0111-5
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2013704024</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2013704024</sourcerecordid><originalsourceid>FETCH-LOGICAL-c268t-ff2c81b452d75e65329667511319023b962eead23bd3e5ff0f3eb0fc5d1178013</originalsourceid><addsrcrecordid>eNp1UE1LAzEQDaJg0f4AbwHPqzPZTXb3KMUvKPSi4C1kN0lN2W5qkhX7702pIB4cGObB-xh4hFwh3CBAfRsrKAEKwDovYsFPyIyxBgvR8rdTMgNgosCKVedkHuMG8jSMt5WYEb8aaXo31HypPlHtYgqum5LzI_WW-qBNoDGplAnXR6qCi25cUxv8liqq_dQNe5rCNPYqGU0795klGVIzDG6XPWr4k3pJzqwaopn_3Avy-nD_sngqlqvH58XdsuiZaFJhLesb7CrOdM2N4CVrhag5YoktsLJrBTNG6Yx0abi1YEvTge25RqwbwPKCXB9zd8F_TCYmufFTGPNLyTJdQwWsyio8qvrgYwzGyl1wWxX2EkEeqpXHamWuVh6qlTx72NETs3Zcm_Cb_L_pG79zfQI</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2013704024</pqid></control><display><type>article</type><title>On the exact distribution of order statistics arising from a doubly truncated bivariate elliptical distribution</title><source>SpringerNature Journals</source><creator>Roozegar, Roohollah ; Jamalizadeh, Ahad ; Amiri, Mehdi ; Lin, Tsung-I</creator><creatorcontrib>Roozegar, Roohollah ; Jamalizadeh, Ahad ; Amiri, Mehdi ; Lin, Tsung-I</creatorcontrib><description>This paper studies the “truncated extended skew elliptically contoured” (TESEC) distributions and their related properties, which have never been discussed in the literature. In particular, we show that the exact distributions of order statistics arising from a doubly truncated bivariate elliptical distribution can be formulated as a mixture of six TESEC distributions. The explicit formulae for computing the corresponding first two moments are also derived. The proposed results are illustrated with a real dataset relating to the mineral content in humerus bones on the dominant and non-dominant sides.</description><identifier>ISSN: 0026-1424</identifier><identifier>EISSN: 2281-695X</identifier><identifier>DOI: 10.1007/s40300-017-0111-5</identifier><language>eng</language><publisher>Milan: Springer Milan</publisher><subject>Bivariate analysis ; Bones ; Humerus ; Mathematics and Statistics ; Skewed distributions ; Statistical Theory and Methods ; Statistics</subject><ispartof>Metron (Rome), 2018-04, Vol.76 (1), p.99-114</ispartof><rights>Sapienza Università di Roma 2017</rights><rights>Copyright Springer Science &amp; Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c268t-ff2c81b452d75e65329667511319023b962eead23bd3e5ff0f3eb0fc5d1178013</cites><orcidid>0000-0002-3992-1128</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40300-017-0111-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40300-017-0111-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Roozegar, Roohollah</creatorcontrib><creatorcontrib>Jamalizadeh, Ahad</creatorcontrib><creatorcontrib>Amiri, Mehdi</creatorcontrib><creatorcontrib>Lin, Tsung-I</creatorcontrib><title>On the exact distribution of order statistics arising from a doubly truncated bivariate elliptical distribution</title><title>Metron (Rome)</title><addtitle>METRON</addtitle><description>This paper studies the “truncated extended skew elliptically contoured” (TESEC) distributions and their related properties, which have never been discussed in the literature. In particular, we show that the exact distributions of order statistics arising from a doubly truncated bivariate elliptical distribution can be formulated as a mixture of six TESEC distributions. The explicit formulae for computing the corresponding first two moments are also derived. The proposed results are illustrated with a real dataset relating to the mineral content in humerus bones on the dominant and non-dominant sides.</description><subject>Bivariate analysis</subject><subject>Bones</subject><subject>Humerus</subject><subject>Mathematics and Statistics</subject><subject>Skewed distributions</subject><subject>Statistical Theory and Methods</subject><subject>Statistics</subject><issn>0026-1424</issn><issn>2281-695X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1UE1LAzEQDaJg0f4AbwHPqzPZTXb3KMUvKPSi4C1kN0lN2W5qkhX7702pIB4cGObB-xh4hFwh3CBAfRsrKAEKwDovYsFPyIyxBgvR8rdTMgNgosCKVedkHuMG8jSMt5WYEb8aaXo31HypPlHtYgqum5LzI_WW-qBNoDGplAnXR6qCi25cUxv8liqq_dQNe5rCNPYqGU0795klGVIzDG6XPWr4k3pJzqwaopn_3Avy-nD_sngqlqvH58XdsuiZaFJhLesb7CrOdM2N4CVrhag5YoktsLJrBTNG6Yx0abi1YEvTge25RqwbwPKCXB9zd8F_TCYmufFTGPNLyTJdQwWsyio8qvrgYwzGyl1wWxX2EkEeqpXHamWuVh6qlTx72NETs3Zcm_Cb_L_pG79zfQI</recordid><startdate>20180401</startdate><enddate>20180401</enddate><creator>Roozegar, Roohollah</creator><creator>Jamalizadeh, Ahad</creator><creator>Amiri, Mehdi</creator><creator>Lin, Tsung-I</creator><general>Springer Milan</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-3992-1128</orcidid></search><sort><creationdate>20180401</creationdate><title>On the exact distribution of order statistics arising from a doubly truncated bivariate elliptical distribution</title><author>Roozegar, Roohollah ; Jamalizadeh, Ahad ; Amiri, Mehdi ; Lin, Tsung-I</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c268t-ff2c81b452d75e65329667511319023b962eead23bd3e5ff0f3eb0fc5d1178013</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Bivariate analysis</topic><topic>Bones</topic><topic>Humerus</topic><topic>Mathematics and Statistics</topic><topic>Skewed distributions</topic><topic>Statistical Theory and Methods</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Roozegar, Roohollah</creatorcontrib><creatorcontrib>Jamalizadeh, Ahad</creatorcontrib><creatorcontrib>Amiri, Mehdi</creatorcontrib><creatorcontrib>Lin, Tsung-I</creatorcontrib><collection>CrossRef</collection><jtitle>Metron (Rome)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Roozegar, Roohollah</au><au>Jamalizadeh, Ahad</au><au>Amiri, Mehdi</au><au>Lin, Tsung-I</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the exact distribution of order statistics arising from a doubly truncated bivariate elliptical distribution</atitle><jtitle>Metron (Rome)</jtitle><stitle>METRON</stitle><date>2018-04-01</date><risdate>2018</risdate><volume>76</volume><issue>1</issue><spage>99</spage><epage>114</epage><pages>99-114</pages><issn>0026-1424</issn><eissn>2281-695X</eissn><abstract>This paper studies the “truncated extended skew elliptically contoured” (TESEC) distributions and their related properties, which have never been discussed in the literature. In particular, we show that the exact distributions of order statistics arising from a doubly truncated bivariate elliptical distribution can be formulated as a mixture of six TESEC distributions. The explicit formulae for computing the corresponding first two moments are also derived. The proposed results are illustrated with a real dataset relating to the mineral content in humerus bones on the dominant and non-dominant sides.</abstract><cop>Milan</cop><pub>Springer Milan</pub><doi>10.1007/s40300-017-0111-5</doi><tpages>16</tpages><orcidid>https://orcid.org/0000-0002-3992-1128</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0026-1424
ispartof Metron (Rome), 2018-04, Vol.76 (1), p.99-114
issn 0026-1424
2281-695X
language eng
recordid cdi_proquest_journals_2013704024
source SpringerNature Journals
subjects Bivariate analysis
Bones
Humerus
Mathematics and Statistics
Skewed distributions
Statistical Theory and Methods
Statistics
title On the exact distribution of order statistics arising from a doubly truncated bivariate elliptical distribution
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T09%3A02%3A04IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20exact%20distribution%20of%20order%20statistics%20arising%20from%20a%20doubly%20truncated%20bivariate%20elliptical%20distribution&rft.jtitle=Metron%20(Rome)&rft.au=Roozegar,%20Roohollah&rft.date=2018-04-01&rft.volume=76&rft.issue=1&rft.spage=99&rft.epage=114&rft.pages=99-114&rft.issn=0026-1424&rft.eissn=2281-695X&rft_id=info:doi/10.1007/s40300-017-0111-5&rft_dat=%3Cproquest_cross%3E2013704024%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2013704024&rft_id=info:pmid/&rfr_iscdi=true