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Article: Approximations for moments of deficit at ruin with exponential and subexponential claims
Title | Approximations for moments of deficit at ruin with exponential and subexponential claims |
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Authors | |
Keywords | φ-moments Ascending ladder Asymptotics Renewal risk model Ruin probabilities The class L (γ) |
Issue Date | 2002 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/stapro |
Citation | Statistics And Probability Letters, 2002, v. 59 n. 4, p. 367-378 How to Cite? |
Abstract | Consider a renewal insurance risk model with initial surplus u > 0 and let Au denote the deficit at the time of ruin. This paper investigates the asymptotic behavior of the moments of Au as u tends to infinity. Under the assumption that the claim size is exponentially or subexponentially distributed, we obtain some asymptotic relationships for the φ-moments of Au, where φ is a non-negative and non-decreasing function satisfying certain conditions. © 2002 Elsevier Science B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/82938 |
ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 0.448 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Cheng, Y | en_HK |
dc.contributor.author | Tang, Q | en_HK |
dc.contributor.author | Yang, H | en_HK |
dc.date.accessioned | 2010-09-06T08:35:06Z | - |
dc.date.available | 2010-09-06T08:35:06Z | - |
dc.date.issued | 2002 | en_HK |
dc.identifier.citation | Statistics And Probability Letters, 2002, v. 59 n. 4, p. 367-378 | en_HK |
dc.identifier.issn | 0167-7152 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/82938 | - |
dc.description.abstract | Consider a renewal insurance risk model with initial surplus u > 0 and let Au denote the deficit at the time of ruin. This paper investigates the asymptotic behavior of the moments of Au as u tends to infinity. Under the assumption that the claim size is exponentially or subexponentially distributed, we obtain some asymptotic relationships for the φ-moments of Au, where φ is a non-negative and non-decreasing function satisfying certain conditions. © 2002 Elsevier Science B.V. All rights reserved. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/stapro | en_HK |
dc.relation.ispartof | Statistics and Probability Letters | en_HK |
dc.rights | Statistics & Probability Letters. Copyright © Elsevier BV. | en_HK |
dc.subject | φ-moments | en_HK |
dc.subject | Ascending ladder | en_HK |
dc.subject | Asymptotics | en_HK |
dc.subject | Renewal risk model | en_HK |
dc.subject | Ruin probabilities | en_HK |
dc.subject | The class L (γ) | en_HK |
dc.title | Approximations for moments of deficit at ruin with exponential and subexponential claims | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-7152&volume=59&spage=367&epage=378&date=2002&atitle=Approximations+for+moments+of+deficit+at+ruin+with+exponential+and+subexponential+claims | en_HK |
dc.identifier.email | Yang, H: hlyang@hku.hk | en_HK |
dc.identifier.authority | Yang, H=rp00826 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/S0167-7152(02)00234-1 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0037108223 | en_HK |
dc.identifier.hkuros | 78489 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0037108223&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 59 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.spage | 367 | en_HK |
dc.identifier.epage | 378 | en_HK |
dc.identifier.isi | WOS:000178639200005 | - |
dc.publisher.place | Netherlands | en_HK |
dc.identifier.scopusauthorid | Cheng, Y=7404914378 | en_HK |
dc.identifier.scopusauthorid | Tang, Q=7201632128 | en_HK |
dc.identifier.scopusauthorid | Yang, H=7406559537 | en_HK |
dc.identifier.issnl | 0167-7152 | - |