Errors in discrimination with monotone missing data from multivariate normal populations

dc.contributor.authorBatsidis, A.en
dc.contributor.authorZografos, K.en
dc.contributor.authorLoukas, S.en
dc.date.accessioned2015-11-24T17:23:17Z
dc.date.available2015-11-24T17:23:17Z
dc.identifier.issn0167-9473-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12726
dc.rightsDefault Licence-
dc.subjectmonotone missing dataen
dc.subjectdiscriminant analysisen
dc.subjecterrors of misclassificationen
dc.subjectdistribution of errorsen
dc.subjectmaximum-likelihood-estimationen
dc.subjectnormal-mean vectoren
dc.subjectincomplete dataen
dc.subjectdistributionsen
dc.subjectrobustnessen
dc.subjectsampleen
dc.titleErrors in discrimination with monotone missing data from multivariate normal populationsen
heal.abstractThe behavior of the linear discriminant function is studied, when it is used for the classification of an observation X into one of two independent multivariate normal populations N-p (mu((nu)), Sigma), with distinct mean vectors mu((nu)), nu = 1, 2 and a common covariance matrix Sigma. The effect of the estimation of the parameters, on the basis of random 2-step monotone training samples, is studied, in three stages of increasing complexity. Asymptotic expressions for the distribution functions of the probabilities of misclassification are derived. Moreover, numerical and simulation results are presented in order to study the effect to the distribution of the probabilities of misclassification using different estimation procedures and missingness rate in the data. Two extensions, related to the case of k-step monotone missing training samples and the case of completely unknown heteroscedastic normal populations are also discussed. (C) 2005 Elsevier B.V. All rights reserved.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDOI 10.1016/j.csda.2005.04.008-
heal.identifier.secondary<Go to ISI>://000237882800008-
heal.identifier.secondaryhttp://ac.els-cdn.com/S0167947305000708/1-s2.0-S0167947305000708-main.pdf?_tid=828746968295686b14dd6d85fd771db4&acdnat=1338446931_06c8606382ff707cded4790915c375f4-
heal.journalNameComputational Statistics & Data Analysisen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2006-
heal.publisherElsevieren
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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