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1、ModernActuarialRiskTheoryRobKaas•MarcGoovaertsJanDhaene•MichelDenuitModernActuarialRiskTheoryUsingRSecondEditionProfessorRobKaasProfessorMarcGoovaertsUvA/KEUvA/KERoetersstraat11Roetersstraat111018WBAmsterdam1018WBAmsterdamTheNetherlandsTheNetherlandsr.kaas@uva
2、.nlK.U.LeuvenUniversityofAmsterdamNaamsestraat69ProfessorJanDhaene3000LeuvenAFI(Accountancy,Finance,Insurance)BelgiumResearchGroupmarc.goovaerts@econ.kuleuven.beFaculteitEconomieenBedrijfswetenschappenK.U.LeuvenUniversityofAmsterdamProfessorMichelDenuitNaamses
3、traat69InstitutdeStatistique3000LeuvenUniversitéCatholiquedeLouvainBelgiumVoieduRomanPays20jan.dhaene@econ.kuleuven.be1348Louvain-la-NeuveBelgiummichel.denuit@uclouvain.beISBN:978-3-540-70992-3e-ISBN:978-3-540-70998-5LibraryofCongressControlNumber:2008931511©2
4、008Springer-VerlagBerlinHeidelbergThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,an
5、dstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGerm
6、anCopyrightLaw.Theuseofregisterednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:WMXDesignGmbH,HeidelbergPrintedon
7、acid-freepaper987654321springer.comForewordtotheFirstEditionStudythepastifyouwoulddefinethefuture—Confucius,551BC-479BCRiskTheoryhasbeenidentifiedandrecognizedasanimportantpartofactuarialed-ucation;thisisforexampledocumentedbytheSyllabusoftheSocietyofActuariesan
8、dbytherecommendationsoftheGroupeConsultatif.Henceitisdesirabletohaveadiversityoftextbooksinthisarea.Thistextinrisktheoryisoriginalinseveralrespects.Inthelanguageoffigureskatingorgym