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dc.contributor.authorBatsidis, A.en
dc.contributor.authorMartin, N.en
dc.contributor.authorPardo, L.en
dc.contributor.authorZografos, K.en
dc.date.accessioned2015-11-24T17:24:42Z-
dc.date.available2015-11-24T17:24:42Z-
dc.identifier.issn0361-0918-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12939-
dc.rightsDefault Licence-
dc.subjectgoodness of fiten
dc.subjectmonte carlo studyen
dc.subjectmultivariate normality testen
dc.subjectpower divergenceen
dc.subjectsong's measureen
dc.subjectof-fit testsen
dc.subjectelliptic distributionsen
dc.subjectmultinomial goodnessen
dc.subjectkurtosisen
dc.titleA Necessary Power Divergence Type Family Tests of Multivariate Normalityen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDoi 10.1080/03610918.2012.697238-
heal.identifier.secondary<Go to ISI>://000316395200006-
heal.identifier.secondaryhttp://www.tandfonline.com/doi/pdf/10.1080/03610918.2012.697238-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2013-
heal.abstractIn a recent article, Cardoso de Oliveira and Ferreira have proposed a multivariate extension of the univariate chi-squared normality test, using a known result for the distribution of quadratic forms in normal variables. In this article, we propose a family of power divergence type test statistics for testing the hypothesis of multinormality. The proposed family of test statistics includes as a particular case the test proposed by Cardoso de Oliveira and Ferreira. We assess the performance of the new family of test statistics by using Monte Carlo simulation. In this context, the type I error rates and the power of the tests are studied, for important family members. Moreover, the performance of significant members of the proposed test statistics are compared with the respective performance of a multivariate normality test, proposed recently by Batsidis and Zografos. Finally, two well-known data sets are used to illustrate the method developed in this article as well as the specialized test of multivariate normality proposed by Batsidis and Zografos.en
heal.publisherTaylor & Francisen
heal.journalNameCommunications in Statistics-Simulation and Computationen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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