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dc.contributor.authorBlanco, David
dc.contributor.authorWeng, Annegret
dc.date.accessioned2022-07-05T16:27:37Z
dc.date.available2022-07-05T16:27:37Z
dc.date.issued2019
dc.identifier.citationBlanco, David; Weng, Annegret. Practical aspects of modelling parameter uncertainty for risk capital calculation. Zeitschrift fur die gesamte Versicherungswissenschaft, 2019, 108(1), p. 43-62. Disponible en: <https://link.springer.com/article/10.1007/s12297-019-00428-x>. Fecha de acceso: 5 jul. 2022. DOI: 10.1007/s12297-019-00428-xca
dc.identifier.issn1865-9748ca
dc.identifier.urihttp://hdl.handle.net/20.500.12328/3352
dc.description.abstractWe assume that an insurance undertaking models its risk by a random variable X=X(¿0) with a fixed parameter (vector) ¿0. If the undertaking does not know ¿0 and can only estimate it from historical data, it faces parameter uncertainty. Neglecting parameter uncertainty can lead to an underestimation of the true risk capital requirement (see e.g. Gerrard and Tsanakas 2011; Fröhlich and Weng 2015). In this contribution we address some practical questions. To illustrate the relevance of the parameter risk we determine the probability of solvency for a risk capital model not taking parameter uncertainty into account for different distributions and samples sizes. We then follow the “inversion method” introduced in Fröhlich and Weng (2015) known to model an appropriate risk capital requirement respecting parameter uncertainty for a wide class of distributions and common estimation methods. We extend the idea to distribution families and estimation methods that have not been considered so far in this context but are frequently used to model the losses of an insurance undertakingen
dc.format.extent20ca
dc.language.isoengca
dc.publisherSpringer Natureca
dc.relation.ispartofZeitschrift fur die gesamte Versicherungswissenschaftca
dc.relation.ispartofseries108;1
dc.relation.urihttps://link.springer.com/article/10.1007/s12297-019-00428-xca
dc.rights“This is a post-peer-review, pre-copyedit version of an article published in Zeitschrift fur die gesamte Versicherungswissenschaft. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12297-019-00428-xca
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.otherAvaluació del riscca
dc.subject.otherEstadística matemàticaca
dc.subject.otherEvaluación del riesgoes
dc.subject.otherEstadística matemáticaes
dc.subject.otherRisk assessmenten
dc.subject.otherMathematical statisticsen
dc.titlePractical aspects of modelling parameter uncertainty for risk capital calculationen
dc.typeinfo:eu-repo/semantics/articleca
dc.description.versioninfo:eu-repo/semantics/acceptedVersionca
dc.rights.accessLevelinfo:eu-repo/semantics/openAccess
dc.embargo.termscapca
dc.subject.udc33ca
dc.subject.udc51ca
dc.identifier.doihttp://dx.doi.org/10.1007/s12297-019-00428-xca


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“This is a post-peer-review, pre-copyedit version of an article published in Zeitschrift fur die gesamte Versicherungswissenschaft. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12297-019-00428-x
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/3.0/es/