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dc.contributor.authorSegura Sala, José Javier 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2017-07-03T11:11:40Z
dc.date.available2018-04-15T02:45:13Z
dc.date.issued2016-04-15
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.otherMTM2012-34787es_ES
dc.identifier.urihttp://hdl.handle.net/10902/11326
dc.description.abstractRatios of integrals can be bounded in terms of ratios of integrands under certain mono- tonicity conditions. This result, related with L?H?opital?s monotone rule, can be used to obtain sharp bounds for cumulative distribution functions. We consider the case of non- central cumulative gamma and beta distributions. Three different types of sharp bounds for the noncentral gamma distributions (also called Marcum functions) are obtained in terms of modified Bessel functions and one additional type of function: a second modified Bessel function, two error functions or one incomplete gamma function. For the noncen- tral beta case the bounds are expressed in terms of Kummer functions and one additional Kummer function or an incomplete beta function. These bounds improve previous results with respect to their range of application and/or its sharpness.es_ES
dc.description.sponsorshipThe author acknowledges financial support from Ministerio de Economía y Competitividad (project MTM2012-34787)es_Es
dc.format.extent15 p.es_ES
dc.language.isoenges_ES
dc.publisherAcademic Press Inc.es_ES
dc.rights© [2016], Elsevier. Licensed under the Creative Commons Reconocimiento-NoComercial-SinObraDerivadaes_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceJournal of Mathematical Analysis and Applications, Volume 436, Issue 2, 15 April 2016, Pages 748-763es_ES
dc.titleSharp bounds for cumulative distribution functionses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.jmaa.2015.12.024es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1016/j.jmaa.2015.12.024
dc.type.versionacceptedVersiones_ES


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© [2016], Elsevier. Licensed under the Creative Commons Reconocimiento-NoComercial-SinObraDerivadaExcept where otherwise noted, this item's license is described as © [2016], Elsevier. Licensed under the Creative Commons Reconocimiento-NoComercial-SinObraDerivada