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Volumn 32, Issue 3, 2003, Pages 413-429

On the expectations of the present values of the time of ruin perturbed by diffusion

Author keywords

Bound; Compound geometric distribution; Defective moments; Diffusion process; Explicit analytical solution; Reliability based class; Tijms type approximation

Indexed keywords


EID: 0042342659     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(03)00130-6     Document Type: Article
Times cited : (33)

References (15)
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  • 2
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    • The surpluses immediately before and at ruin, and the amount of the claim causing ruin
    • Dufresne F. Gerber H.U. The surpluses immediately before and at ruin, and the amount of the claim causing ruin Insurance: Mathematics and Economics 7 1988b 193-199
    • (1988) Insurance: Mathematics and Economics , vol.7 , pp. 193-199
    • Dufresne, F.1    Gerber, H.U.2
  • 3
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    • Risk theory for the compound Poisson process that is perturbed by diffusion
    • Dufresne F. Gerber H.U. Risk theory for the compound Poisson process that is perturbed by diffusion Insurance: Mathematics and Economics 10 1991 51-59
    • (1991) Insurance: Mathematics and Economics , vol.10 , pp. 51-59
    • Dufresne, F.1    Gerber, H.U.2
  • 5
    • 0000437178 scopus 로고
    • An extension of the renewal equation and its application in the collective theory of risk
    • Gerber, H.U., 1970. An extension of the renewal equation and its application in the collective theory of risk. Skandinavisk Aktuarietidskrift, 205-210.
    • (1970) Skandinavisk Aktuarietidskrift , pp. 205-210
    • Gerber, H.U.1
  • 6
    • 0032113775 scopus 로고    scopus 로고
    • On the discounted penalty at ruin in a jump-diffusion and the perpetual put option
    • Gerber H.U. Landry B. On the discounted penalty at ruin in a jump-diffusion and the perpetual put option Insurance: Mathematics and Economics 22 1998 263-276
    • (1998) Insurance: Mathematics and Economics , vol.22 , pp. 263-276
    • Gerber, H.U.1    Landry, B.2
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    • Tail of compound distributions and excess time
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  • 8
    • 0001973398 scopus 로고    scopus 로고
    • Analysis of a defective renewal equation arising in ruin theory
    • Lin X. Willmot G.E. Analysis of a defective renewal equation arising in ruin theory Insurance: Mathematics and Economics 25 1999 63-84
    • (1999) Insurance: Mathematics and Economics , vol.25 , pp. 63-84
    • Lin, X.1    Willmot, G.E.2
  • 10
    • 0041361785 scopus 로고    scopus 로고
    • On the surplus process of ruin theory when perturbed by a diffusion
    • Ph.D. Thesis. University of Waterloo, Ontario
    • Tsai, C.C.L., 1999. On the surplus process of ruin theory when perturbed by a diffusion. Ph.D. Thesis. University of Waterloo, Ontario.
    • (1999)
    • Tsai, C.C.L.1
  • 11
    • 0042367126 scopus 로고    scopus 로고
    • On the discounted distribution functions of the surplus process perturbed by diffusion
    • Tsai C.C.L. On the discounted distribution functions of the surplus process perturbed by diffusion Insurance: Mathematics and Economics 28 2001 401-419
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    • Tsai, C.C.L.1
  • 12
    • 0036192793 scopus 로고    scopus 로고
    • A generalized defective renewal equation for the surplus process perturbed by diffusion
    • Tsai C.C.L. Willmot G.E. A generalized defective renewal equation for the surplus process perturbed by diffusion Insurance: Mathematics and Economics 30 2002a 51-66
    • (2002) Insurance: Mathematics and Economics , vol.30 , pp. 51-66
    • Tsai, C.C.L.1    Willmot, G.E.2
  • 14
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    • A decomposition of the ruin probability for the risk process perturbed by diffusion
    • Wang G. A decomposition of the ruin probability for the risk process perturbed by diffusion Insurance: Mathematics and Economics 28 2001 49-59
    • (2001) Insurance: Mathematics and Economics , vol.28 , pp. 49-59
    • Wang, G.1
  • 15
    • 0031591987 scopus 로고    scopus 로고
    • Bounds for compound distributions based on mean residual lifetime and equilibrium distributions
    • Willmot G.E. Bounds for compound distributions based on mean residual lifetime and equilibrium distributions Insurance: Mathematics and Economics 21 1997 25-42
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.