Article: Precise large deviations of aggregate claims in a size-dependent renewal risk model
| Title | Precise large deviations of aggregate claims in a size-dependent renewal risk model |
|---|---|
| Authors | Chen, Y1 Yuen, KC2 |
| Keywords | Aggregate Claims Consistent Variation Dependence Large Deviations Renewal Counting Process |
| Issue Date | 2012 |
| Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ime |
| Citation | Insurance: 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 |
| Abstract | Consider 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. |
| ISSN | 0167-6687 2011 Impact Factor: 1.288 2011 SCImago Journal Rankings: 0.048 |
| DOI | http://dx.doi.org/10.1016/j.insmatheco.2012.06.010 |
| References | References in Scopus |
| dc.contributor.author | Chen, Y |
|---|---|
| dc.contributor.author | Yuen, KC |
| dc.date.accessioned | 2012-10-30T06:22:50Z |
| dc.date.available | 2012-10-30T06:22:50Z |
| dc.date.issued | 2012 |
| dc.description.abstract | Consider 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.nature | Link_to_subscribed_fulltext |
| dc.identifier.citation | Insurance: 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.citeulike | 10862825 |
| dc.identifier.doi | http://dx.doi.org/10.1016/j.insmatheco.2012.06.010 |
| dc.identifier.epage | 461 |
| dc.identifier.hkuros | 205211 |
| dc.identifier.issn | 0167-6687 2011 Impact Factor: 1.288 2011 SCImago Journal Rankings: 0.048 |
| dc.identifier.issue | 2 |
| dc.identifier.scopus | eid_2-s2.0-84864036733 |
| dc.identifier.spage | 457 |
| dc.identifier.uri | http://hdl.handle.net/10722/172503 |
| dc.identifier.volume | 51 |
| dc.language | eng |
| dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ime |
| dc.publisher.place | Netherlands |
| dc.relation.ispartof | Insurance: Mathematics and Economics |
| dc.relation.references | References in Scopus |
| dc.subject | Aggregate Claims |
| dc.subject | Consistent Variation |
| dc.subject | Dependence |
| dc.subject | Large Deviations |
| dc.subject | Renewal Counting Process |
| dc.title | Precise large deviations of aggregate claims in a size-dependent renewal risk model |
| dc.type | Article |
Author Affiliations
- University of Liverpool
- The University of Hong Kong

