Tests for circular symmetry of complex-valued random vectors
We propose tests for the null hypothesis that the law of a complex-valued random vector is circularly symmetric. The test criteria are formulated as L 2 -type criteria based on empirical characteristic functions, and they are convenient from the computational point of view. Asymptotic as well as Mon...
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Veröffentlicht in: | Test (Madrid, Spain) Spain), 2022-06, Vol.31 (2), p.488-518 |
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creator | Henze, Norbert Lafaye De Micheaux, Pierre Meintanis, Simos G. |
description | We propose tests for the null hypothesis that the law of a complex-valued random vector is circularly symmetric. The test criteria are formulated as
L
2
-type criteria based on empirical characteristic functions, and they are convenient from the computational point of view. Asymptotic as well as Monte Carlo results are presented. Applications on real data are also reported. An R package called CircSymTest is available from the authors. |
doi_str_mv | 10.1007/s11749-021-00788-6 |
format | Article |
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L
2
-type criteria based on empirical characteristic functions, and they are convenient from the computational point of view. Asymptotic as well as Monte Carlo results are presented. Applications on real data are also reported. An R package called CircSymTest is available from the authors.</description><identifier>ISSN: 1133-0686</identifier><identifier>EISSN: 1863-8260</identifier><identifier>DOI: 10.1007/s11749-021-00788-6</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Characteristic functions ; Criteria ; Economics ; Finance ; Insurance ; Management ; Mathematics ; Mathematics and Statistics ; Original Paper ; Statistical Theory and Methods ; Statistics ; Statistics for Business ; Symmetry</subject><ispartof>Test (Madrid, Spain), 2022-06, Vol.31 (2), p.488-518</ispartof><rights>Sociedad de Estadística e Investigación Operativa 2021</rights><rights>Sociedad de Estadística e Investigación Operativa 2021.</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c337t-5447eec001c8acab8825f930863506deb43483d7bb32f40014181e2a52d9e5cf3</cites><orcidid>0000-0002-0247-5136</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/s11749-021-00788-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11749-021-00788-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,780,784,885,27924,27925,41488,42557,51319</link.rule.ids><backlink>$$Uhttps://univ-montpellier3-paul-valery.hal.science/hal-03675738$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Henze, Norbert</creatorcontrib><creatorcontrib>Lafaye De Micheaux, Pierre</creatorcontrib><creatorcontrib>Meintanis, Simos G.</creatorcontrib><title>Tests for circular symmetry of complex-valued random vectors</title><title>Test (Madrid, Spain)</title><addtitle>TEST</addtitle><description>We propose tests for the null hypothesis that the law of a complex-valued random vector is circularly symmetric. The test criteria are formulated as
L
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-type criteria based on empirical characteristic functions, and they are convenient from the computational point of view. Asymptotic as well as Monte Carlo results are presented. Applications on real data are also reported. An R package called CircSymTest is available from the authors.</description><subject>Characteristic functions</subject><subject>Criteria</subject><subject>Economics</subject><subject>Finance</subject><subject>Insurance</subject><subject>Management</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Original Paper</subject><subject>Statistical Theory and Methods</subject><subject>Statistics</subject><subject>Statistics for Business</subject><subject>Symmetry</subject><issn>1133-0686</issn><issn>1863-8260</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEYRYMoWKt_wFXAlYto3knBTSnWCgU3dR0ymURbZpqazBT7700d0Z2rPDj38n0HgGuC7wjG6j4TovgEYUpQeWqN5AkYES0Z0lTi03InjCEstTwHFzlvMJZcUjICDyufuwxDTNCtk-sbm2A-tK3v0gHGAF1sd43_RHvb9L6GyW7r2MK9d11M-RKcBdtkf_VzjsHr_HE1W6Dly9PzbLpEjjHVIcG58t5hTJy2zlZaUxEmDJfxBJa1rzjjmtWqqhgNvGCcaOKpFbSeeOECG4PboffdNmaX1q1NBxPt2iymS3P8w0wqoZjek8LeDOwuxY--LGc2sU_bMp6hUjMiaBFWKDpQLsWckw-_tQSbo1EzGDXFqPk2amQJsSGUC7x98-mv-p_UF7RGdzY</recordid><startdate>20220601</startdate><enddate>20220601</enddate><creator>Henze, Norbert</creator><creator>Lafaye De Micheaux, Pierre</creator><creator>Meintanis, Simos G.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>Spanish Society of Statistics and Operations Research/Springer</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-0247-5136</orcidid></search><sort><creationdate>20220601</creationdate><title>Tests for circular symmetry of complex-valued random vectors</title><author>Henze, Norbert ; Lafaye De Micheaux, Pierre ; Meintanis, Simos G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c337t-5447eec001c8acab8825f930863506deb43483d7bb32f40014181e2a52d9e5cf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Characteristic functions</topic><topic>Criteria</topic><topic>Economics</topic><topic>Finance</topic><topic>Insurance</topic><topic>Management</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Original Paper</topic><topic>Statistical Theory and Methods</topic><topic>Statistics</topic><topic>Statistics for Business</topic><topic>Symmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Henze, Norbert</creatorcontrib><creatorcontrib>Lafaye De Micheaux, Pierre</creatorcontrib><creatorcontrib>Meintanis, Simos G.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Test (Madrid, Spain)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Henze, Norbert</au><au>Lafaye De Micheaux, Pierre</au><au>Meintanis, Simos G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Tests for circular symmetry of complex-valued random vectors</atitle><jtitle>Test (Madrid, Spain)</jtitle><stitle>TEST</stitle><date>2022-06-01</date><risdate>2022</risdate><volume>31</volume><issue>2</issue><spage>488</spage><epage>518</epage><pages>488-518</pages><issn>1133-0686</issn><eissn>1863-8260</eissn><abstract>We propose tests for the null hypothesis that the law of a complex-valued random vector is circularly symmetric. The test criteria are formulated as
L
2
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subjects | Characteristic functions Criteria Economics Finance Insurance Management Mathematics Mathematics and Statistics Original Paper Statistical Theory and Methods Statistics Statistics for Business Symmetry |
title | Tests for circular symmetry of complex-valued random vectors |
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