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Volumn 35, Issue 1, 2005, Pages 45-60

The Density of the Time to Ruin in the Classical Poisson Risk Model

Author keywords

Compound geometric distribution; Finite time ruin; Lagrange's implicit function theorem; Laplace transform; Mixed Erlang distribution; Time to ruin; Transient M G 1 waiting time

Indexed keywords


EID: 85011519583     PISSN: 05150361     EISSN: 17831350     Source Type: Journal    
DOI: 10.1017/S0515036100014057     Document Type: Article
Times cited : (67)

References (15)
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    • Erlangian approximations for finite-horizon ruin probabilities
    • Asmussen, S., Avram, F. and Usabel, M. (2002) Erlangian approximations for finite-horizon ruin probabilities. ASTIN Bulletin. 32, 267–281.
    • (2002) ASTIN Bulletin , vol.32 , pp. 267-281
    • Asmussen, S.1    Avram, F.2    Usabel, M.3
  • 6
    • 84925165652 scopus 로고    scopus 로고
    • The density of the time to ruin for a Sparre Andersen process with Erlang arrivals and exponential claims
    • University of Melbourne
    • Dickson, D.C.M., Hughes, B. and Zhang, L. (2003) The density of the time to ruin for a Sparre Andersen process with Erlang arrivals and exponential claims. Centre for Actuarial Studies Research Paper Series No. 111, University of Melbourne.
    • (2003) Centre for Actuarial Studies Research Paper Series No. 111
    • Dickson, D.C.M.1    Hughes, B.2    Zhang, L.3
  • 7
    • 85011504148 scopus 로고    scopus 로고
    • The distribution of the time to ruin in the classical risk model
    • Dickson, D.C.M. and Waters, H.R. (2002) The distribution of the time to ruin in the classical risk model. ASTIN Bulletin. 32, 299–313.
    • (2002) ASTIN Bulletin , vol.32 , pp. 299-313
    • Dickson, D.C.M.1    Waters, H.R.2
  • 9
    • 0842337960 scopus 로고    scopus 로고
    • On the density and moments of the time to ruin with exponential claims
    • Drekic, S. and Willmot, G.E. (2003) On the density and moments of the time to ruin with exponential claims. ASTIN Bulletin. 33, 11–21.
    • (2003) ASTIN Bulletin , vol.33 , pp. 11-21
    • Drekic, S.1    Willmot, G.E.2
  • 10
    • 85011493416 scopus 로고    scopus 로고
    • Explicit solutions for survival probabilities in a finite time horizon
    • Lisbon, (No. 49).
    • Garcia, J.M. (2002) Explicit solutions for survival probabilities in a finite time horizon. Presented to the 6th International IME Conference, Lisbon. http://pascal.iseg.utl.pt/~cemapre/ime2002/index.html (No. 49).
    • (2002) Presented to the 6th International IME Conference
    • Garcia, J.M.1
  • 13
    • 0001973398 scopus 로고    scopus 로고
    • Analysis of a defective renewal equation arising in ruin theory
    • Lin, X.S. and Willmot, G.E. (1999) Analysis of a defective renewal equation arising in ruin theory. Insurance: Mathematics & Economics. 25, 63–84.
    • (1999) Insurance: Mathematics & Economics , vol.25 , pp. 63-84
    • Lin, X.S.1    Willmot, G.E.2
  • 14
    • 0001858607 scopus 로고    scopus 로고
    • The moments of the time to ruin, the surplus before ruin and the deficit at ruin
    • Lin, X.S. and Willmot, G.E. (2000) The moments of the time to ruin, the surplus before ruin and the deficit at ruin. Insurance: Mathematics & Economics. 27, 19–44.
    • (2000) Insurance: Mathematics & Economics , vol.27 , pp. 19-44
    • Lin, X.S.1    Willmot, G.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.