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Volumn 22, Issue 1, 1998, Pages 93-104

Ruin probabilities in perturbed risk models

Author keywords

Perturbed risk model; Ruin function; Subexponential distributions

Indexed keywords


EID: 0032523507     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(98)00011-0     Document Type: Article
Times cited : (26)

References (23)
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    • to appear
    • Asmussen, S., Højgaard, B., 1996. Ruin probability approximations for Markov-modulated risk processes with heavy tails. Th. Random Proc., to appear.
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    • Asmussen, S.1    Højgaard, B.2
  • 5
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    • A theorem on sums of independent, positive random variables and its applications to branching processes
    • Chistyakov, V.P., 1964. A theorem on sums of independent, positive random variables and its applications to branching processes. Theory of Probability and its Applications 9, 640-648.
    • (1964) Theory of Probability and Its Applications , vol.9 , pp. 640-648
    • Chistyakov, V.P.1
  • 6
    • 0001459863 scopus 로고
    • Convolution tails, product tails and domains of attraction
    • Cline, D.B.H., 1986. Convolution tails, product tails and domains of attraction. Probability Theory and Related Fields 72, 529-557.
    • (1986) Probability Theory and Related Fields , vol.72 , pp. 529-557
    • Cline, D.B.H.1
  • 8
    • 0001912797 scopus 로고
    • Risk theory for the compound Poisson process that is perturbed by diffusion
    • Dufresne, F., Gerber, H.U., 1991. Risk theory for the compound Poisson process that is perturbed by diffusion. Insurance: Mathematics and Economics 10, 51-59.
    • (1991) Insurance: Mathematics and Economics , vol.10 , pp. 51-59
    • Dufresne, F.1    Gerber, H.U.2
  • 10
    • 0002944036 scopus 로고
    • Estimates for the probability of ruin with special emphasis on the possibility of large claims
    • Embrechts, P., Veraverbeke, N., 1982. Estimates for the probability of ruin with special emphasis on the possibility of large claims. Insurance: Mathematics and Economics 1, 55-72.
    • (1982) Insurance: Mathematics and Economics , vol.1 , pp. 55-72
    • Embrechts, P.1    Veraverbeke, N.2
  • 12
    • 0003284552 scopus 로고    scopus 로고
    • Risk processes perturbed by α-stable Levy motion
    • to appear
    • Furrer, H.J., 1997a. Risk processes perturbed by α-stable Levy motion. Scandinavian Actuarial Journal, to appear.
    • (1997) Scandinavian Actuarial Journal
    • Furrer, H.J.1
  • 13
    • 0010119225 scopus 로고    scopus 로고
    • Doctoral Thesis, ETH Zürich, under preparation
    • Furrer, H.J., 1997b. Doctoral Thesis, ETH Zürich, under preparation.
    • (1997)
    • Furrer, H.J.1
  • 14
    • 0001924427 scopus 로고
    • Exponential inequalities for ruin probabilities of risk processes perturbed by diffusion
    • Furrer, H.J., Schmidli, H., 1994. Exponential inequalities for ruin probabilities of risk processes perturbed by diffusion. Insurance: Mathematics and Economics 15, 23-26.
    • (1994) Insurance: Mathematics and Economics , vol.15 , pp. 23-26
    • Furrer, H.J.1    Schmidli, H.2
  • 15
    • 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. Skand. Aktuar Tidskr., 205-210.
    • (1970) Skand. Aktuar Tidskr. , pp. 205-210
    • Gerber, H.U.1
  • 22
    • 0000296336 scopus 로고
    • Cramér-Lundberg approximations for ruin probabilities of risk processes perturbed by diffusion
    • Schmidli, H., 1995. Cramér-Lundberg approximations for ruin probabilities of risk processes perturbed by diffusion. Insurance: Mathematics and Economics 16, 135-149.
    • (1995) Insurance: Mathematics and Economics , vol.16 , pp. 135-149
    • Schmidli, H.1
  • 23
    • 38249000146 scopus 로고
    • Asymptotic estimates for the probability of ruin in a Poisson model with diffusion
    • Veraverbeke, N., 1993. Asymptotic estimates for the probability of ruin in a Poisson model with diffusion. Insurance: Mathematics and Economics 13, 57-62.
    • (1993) Insurance: Mathematics and Economics , vol.13 , pp. 57-62
    • Veraverbeke, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.