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- Publisher Website: 10.1016/j.insmatheco.2010.05.006
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Article: Upper comonotonicity and convex upper bounds for sums of random variables
Title | Upper comonotonicity and convex upper bounds for sums of random variables |
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Authors | |
Keywords | Comonotonicity Convex Order Tail Dependence Upper Comonotonicity |
Issue Date | 2010 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ime |
Citation | Insurance: Mathematics And Economics, 2010, v. 47 n. 2, p. 159-166 How to Cite? |
Abstract | It is well-known that if a random vector with given marginal distributions is comonotonic, it has the largest sum with respect to convex order. However, replacing the (unknown) copula by the comonotonic copula will in most cases not reflect reality well. For instance, in an insurance context we may have partial information about the dependence structure of different risks in the lower tail. In this paper, we extend the aforementioned result, using the concept of upper comonotonicity, to the case where the dependence structure of a random vector in the lower tail is already known. Since upper comonotonic random vectors have comonotonic behavior in the upper tail, we are able to extend several well-known results of comonotonicity to upper comonotonicity. As an application, we construct different increasing convex upper bounds for sums of random variables and compare these bounds in terms of increasing convex order. © 2010 Elsevier B.V. |
Persistent Identifier | http://hdl.handle.net/10722/172474 |
ISSN | 2021 Impact Factor: 2.168 2020 SCImago Journal Rankings: 1.139 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Dong, J | en_US |
dc.contributor.author | Cheung, KC | en_US |
dc.contributor.author | Yang, H | en_US |
dc.date.accessioned | 2012-10-30T06:22:42Z | - |
dc.date.available | 2012-10-30T06:22:42Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.citation | Insurance: Mathematics And Economics, 2010, v. 47 n. 2, p. 159-166 | en_US |
dc.identifier.issn | 0167-6687 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/172474 | - |
dc.description.abstract | It is well-known that if a random vector with given marginal distributions is comonotonic, it has the largest sum with respect to convex order. However, replacing the (unknown) copula by the comonotonic copula will in most cases not reflect reality well. For instance, in an insurance context we may have partial information about the dependence structure of different risks in the lower tail. In this paper, we extend the aforementioned result, using the concept of upper comonotonicity, to the case where the dependence structure of a random vector in the lower tail is already known. Since upper comonotonic random vectors have comonotonic behavior in the upper tail, we are able to extend several well-known results of comonotonicity to upper comonotonicity. As an application, we construct different increasing convex upper bounds for sums of random variables and compare these bounds in terms of increasing convex order. © 2010 Elsevier B.V. | en_US |
dc.language | eng | en_US |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ime | en_US |
dc.relation.ispartof | Insurance: Mathematics and Economics | en_US |
dc.subject | Comonotonicity | en_US |
dc.subject | Convex Order | en_US |
dc.subject | Tail Dependence | en_US |
dc.subject | Upper Comonotonicity | en_US |
dc.title | Upper comonotonicity and convex upper bounds for sums of random variables | en_US |
dc.type | Article | en_US |
dc.identifier.email | Cheung, KC: kccg@hku.hk | en_US |
dc.identifier.email | Yang, H: hlyang@hku.hk | en_US |
dc.identifier.authority | Cheung, KC=rp00677 | en_US |
dc.identifier.authority | Yang, H=rp00826 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.insmatheco.2010.05.006 | en_US |
dc.identifier.scopus | eid_2-s2.0-77955655390 | en_US |
dc.identifier.hkuros | 170572 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77955655390&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 47 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 159 | en_US |
dc.identifier.epage | 166 | en_US |
dc.identifier.isi | WOS:000281982000008 | - |
dc.publisher.place | Netherlands | en_US |
dc.identifier.scopusauthorid | Dong, J=9039009000 | en_US |
dc.identifier.scopusauthorid | Cheung, KC=10038874000 | en_US |
dc.identifier.scopusauthorid | Yang, H=7406559537 | en_US |
dc.identifier.citeulike | 7377669 | - |
dc.identifier.issnl | 0167-6687 | - |