Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/194380
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dc.contributor.authorBadea, Alexandra-
dc.contributor.authorBolancé Losilla, Catalina-
dc.contributor.authorVernic, Raluca-
dc.date.accessioned2023-03-01T09:03:08Z-
dc.date.available2023-03-01T09:03:08Z-
dc.date.issued2022-10-
dc.identifier.issn2571-905X-
dc.identifier.urihttps://hdl.handle.net/2445/194380-
dc.description.abstractIn this paper, we propose a bivariate extension of univariate composite (two-spliced) distributions defined by a bivariate Pareto distribution for values larger than some thresholds and by a bivariate Gumbel distribution on the complementary domain. The purpose of this distribution is to capture the behavior of bivariate data consisting of mainly small and medium values but also of some extreme values. Some properties of the proposed distribution are presented. Further, two estimation procedures are discussed and illustrated on simulated data and on a real data set consisting of a bivariate sample of claims from an auto insurance portfolio. In addition, the risk of loss in this insurance portfolio is estimated by Monte Carlo simulation-
dc.format.extent22 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherMDPI-
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.3390/stats5040055-
dc.relation.ispartofStats, 2022, vol. 5, num. 4, p. 948-969-
dc.relation.urihttps://doi.org/10.3390/stats5040055-
dc.rightscc-by (c) Badea, Alexandra et al., 2022-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.sourceArticles publicats en revistes (Econometria, Estadística i Economia Aplicada)-
dc.subject.classificationVariables (Matemàtica)-
dc.subject.classificationTeoria de distribucions (Anàlisi funcional)-
dc.subject.classificationTeoria de l'estimació-
dc.subject.classificationMesures de probabilitats-
dc.subject.classificationGestió del risc-
dc.subject.otherVariables (Mathematics)-
dc.subject.otherTheory of distributions (Functional analysis)-
dc.subject.otherEstimation theory-
dc.subject.otherProbability measures-
dc.subject.otherRisk management-
dc.titleOn the Bivariate Composite Gumbel-Pareto Distribution-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.identifier.idgrec730687-
dc.date.updated2023-03-01T09:03:08Z-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Econometria, Estadística i Economia Aplicada)

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