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Volumn 23, Issue 1, 1998, Pages 91-110

Exact and approximate properties of the distribution of surplus before and after ruin

Author keywords

Decreasing failure rate; Increasing failure rate; Lundberg bound; Severity of ruin; Surplus prior to ruin

Indexed keywords


EID: 0032585141     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(98)00030-4     Document Type: Article
Times cited : (32)

References (23)
  • 4
    • 0000821247 scopus 로고
    • Error bounds for exponential approximations of geometric convolutions
    • Brown, M., 1990. Error bounds for exponential approximations of geometric convolutions. Annals of Probability 18, 1388-1402.
    • (1990) Annals of Probability , vol.18 , pp. 1388-1402
    • Brown, M.1
  • 6
    • 38249009745 scopus 로고
    • On the distribution of surplus prior to ruin
    • Dickson D., 1992. On the distribution of surplus prior to ruin. Insurance: Mathematics and Economics 11, 191-207.
    • (1992) Insurance: Mathematics and Economics , vol.11 , pp. 191-207
    • Dickson, D.1
  • 7
    • 84974318058 scopus 로고
    • Some stable algorithms in ruin theory and their applications
    • Dickson, D., Egidio Dos Reis, A., Waters, H., 1995. Some Stable Algorithms in Ruin Theory and Their Applications. ASTIN Bulletin 25, 153-175.
    • (1995) ASTIN Bulletin , vol.25 , pp. 153-175
    • Dickson, D.1    Egidio Dos Reis, A.2    Waters, H.3
  • 9
    • 85011499228 scopus 로고    scopus 로고
    • On the distribution of the duration of negative surplus
    • Dickson, D., Dos Reis, A., 1996. On the distribution of the duration of negative surplus. Scandinavian Actuarial Journal, pp. 148-164.
    • (1996) Scandinavian Actuarial Journal , pp. 148-164
    • Dickson, D.1    Dos Reis, A.2
  • 10
    • 84971892495 scopus 로고
    • The probability and severity of ruin in finite and in infinite time
    • Dickson, D., Waters, H., 1992. The probability and severity of ruin in finite and in infinite time. ASTIN Bulletin 22, 177-190.
    • (1992) ASTIN Bulletin , vol.22 , pp. 177-190
    • Dickson, D.1    Waters, H.2
  • 12
    • 0010082169 scopus 로고    scopus 로고
    • Research Paper Number 48, Centre for Actuarial Studies, University of Melbourne
    • Dos Reis, A., 1997. On the moments of ruin and recovery times. Research Paper Number 48, Centre for Actuarial Studies, University of Melbourne.
    • (1997) On the Moments of Ruin and Recovery Times
    • Dos Reis, A.1
  • 13
    • 38249031188 scopus 로고
    • The probability and severity of ruin for combinations of exponential claim amount distributions and their translations
    • Dufresne, F., Gerber, H., 1988. The probability and severity of ruin for combinations of exponential claim amount distributions and their translations. Insurance: Mathematics and Economics 7, 75-80.
    • (1988) Insurance: Mathematics and Economics , vol.7 , pp. 75-80
    • Dufresne, F.1    Gerber, H.2
  • 14
  • 15
    • 21344495855 scopus 로고
    • Preservation of certain classes of life distributions under poisson shock models
    • Fagiuoli, E., Pellerey, F., 1994. Preservation of certain classes of life distributions under Poisson shock models. Journal of Applied Probability 31, 458-465.
    • (1994) Journal of Applied Probability , vol.31 , pp. 458-465
    • Fagiuoli, E.1    Pellerey, F.2
  • 18
    • 84974324244 scopus 로고
    • On the probability and severity of ruin
    • Gerber, H., Goovaerts, M., Kaas, R., 1987. On the probability and severity of ruin. ASTIN Bulletin 17, 151-163.
    • (1987) ASTIN Bulletin , vol.17 , pp. 151-163
    • Gerber, H.1    Goovaerts, M.2    Kaas, R.3
  • 19
    • 0000040325 scopus 로고
    • DFR property of first passage time and its preservation under geometric compounding
    • Shantikumar, J., 1988. DFR property of first passage time and its preservation under geometric compounding. Annals of Probability 16, 397-406.
    • (1988) Annals of Probability , vol.16 , pp. 397-406
    • Shantikumar, J.1
  • 22
    • 38249029524 scopus 로고
    • Further use of Shiu's approach to the evaluation of ultimate ruin probabilities
    • Willmot G., 1988. Further use of Shiu's approach to the evaluation of ultimate ruin probabilities. Insurance: Mathematics and Economics 7, 275-281.
    • (1988) Insurance: Mathematics and Economics , vol.7 , pp. 275-281
    • Willmot, G.1
  • 23
    • 0031998037 scopus 로고    scopus 로고
    • On approximation of ruin and waiting time probabilities
    • Willmot, G., 1998. On approximation of ruin and waiting time probabilities. Operations Research Letters 22, 27-32.
    • (1998) Operations Research Letters , vol.22 , pp. 27-32
    • Willmot, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.