Formulas for Renyi information and related measures for univariate distributions

dc.contributor.authorNadarajah, S.en
dc.contributor.authorZografos, K.en
dc.date.accessioned2015-11-24T17:24:08Z
dc.date.available2015-11-24T17:24:08Z
dc.identifier.issn0020-0255-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12849
dc.rightsDefault Licence-
dc.subjectrenyi entropyen
dc.subjectshannon entropyen
dc.subjectsong's measureen
dc.subjectmultivariate distributionsen
dc.subjectentropy expressionsen
dc.subjectstatisticsen
dc.titleFormulas for Renyi information and related measures for univariate distributionsen
heal.abstractIn a recent paper Song [J. Stat. Plan. Infer. 93 (2001) 51] considered Renyi information of order A and established its connection to the loglikelihood. From this relation an intrinsic distribution measure was proposed and analytic expressions of this measure and Renyi information were derived for some standard continuous distributions. In this paper, we derive analytical formulas for Renyi and Shannon entropies, as well as, for Song's measure for 26 flexible families of univariate continuous distributions. We believe that the results presented here will serve as an important reference for scientists and engineers in many areas. (C) 2003 Elsevier Inc. All rights reserved.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDoi 10.1016/S0020-0255(03)00156-7-
heal.identifier.secondary<Go to ISI>://000185636300009-
heal.journalNameInformation Sciencesen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2003-
heal.publisherElsevieren
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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