Article: Precise large deviations of aggregate claims in a size-dependent renewal risk model

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TitlePrecise large deviations of aggregate claims in a size-dependent renewal risk model
AuthorsChen, Y1
Yuen, KC2
KeywordsAggregate Claims
Consistent Variation
Dependence
Large Deviations
Renewal Counting Process
Issue Date2012
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ime
CitationInsurance: Mathematics And Economics, 2012, v. 51 n. 2, p. 457-461 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.insmatheco.2012.06.010
AbstractConsider a renewal risk model in which claim sizes and inter-arrival times correspondingly form a sequence of independent and identically distributed random pairs, with each pair obeying a dependence structure described via the conditional distribution of the inter-arrival time given the subsequent claim size being large. We study large deviations of the aggregate amount of claims. For a heavy-tailed case, we obtain a precise large-deviation formula, which agrees with existing ones in the literature. © 2012 Elsevier B.V.
ISSN0167-6687
2011 Impact Factor: 1.288
2011 SCImago Journal Rankings: 0.048
DOIhttp://dx.doi.org/10.1016/j.insmatheco.2012.06.010
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorChen, Y
dc.contributor.authorYuen, KC
dc.date.accessioned2012-10-30T06:22:50Z
dc.date.available2012-10-30T06:22:50Z
dc.date.issued2012
dc.description.abstractConsider a renewal risk model in which claim sizes and inter-arrival times correspondingly form a sequence of independent and identically distributed random pairs, with each pair obeying a dependence structure described via the conditional distribution of the inter-arrival time given the subsequent claim size being large. We study large deviations of the aggregate amount of claims. For a heavy-tailed case, we obtain a precise large-deviation formula, which agrees with existing ones in the literature. © 2012 Elsevier B.V.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationInsurance: Mathematics And Economics, 2012, v. 51 n. 2, p. 457-461 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.insmatheco.2012.06.010
dc.identifier.citeulike10862825
dc.identifier.doihttp://dx.doi.org/10.1016/j.insmatheco.2012.06.010
dc.identifier.epage461
dc.identifier.hkuros205211
dc.identifier.issn0167-6687
2011 Impact Factor: 1.288
2011 SCImago Journal Rankings: 0.048
dc.identifier.issue2
dc.identifier.scopuseid_2-s2.0-84864036733
dc.identifier.spage457
dc.identifier.urihttp://hdl.handle.net/10722/172503
dc.identifier.volume51
dc.languageeng
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ime
dc.publisher.placeNetherlands
dc.relation.ispartofInsurance: Mathematics and Economics
dc.relation.referencesReferences in Scopus
dc.subjectAggregate Claims
dc.subjectConsistent Variation
dc.subjectDependence
dc.subjectLarge Deviations
dc.subjectRenewal Counting Process
dc.titlePrecise large deviations of aggregate claims in a size-dependent renewal risk model
dc.typeArticle
Author Affiliations
  1. University of Liverpool
  2. The University of Hong Kong