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Scandinavian Actuarial Journal Volume 1996, 1996 - Issue 2
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Original Article

On the distribution of the duration of negative surplus

David C. M. Dickson Centre for Actuarial Studies Faculty of Economics and Commerce, University of Melbourne, Parkville 30S2, Victoria, Australia E-mail: [email protected]
&
Alfredo D. Egídio Dos Reis
Pages 148-164 | Received 01 Jan 1995, Published online: 22 Dec 2011

References

  • Bowers , N. L. , Gerber , H. U. , Hickman , J. C. , Jones , D. A. and Nesbitt , C. J. 1986 . Actuarial mathematics , Itasca , IL : Society of Actuaries .
  • De Vylder , F. & Goovaerts . 1988 . Recursive calculation of finite time ruin probabilities . Insurance: Math. Econ. , 7 : 1 – 8 .
  • Dickson , D. C. M. 1989 . Recursive calculation of the probability and severity of ruin . Insurance: Math. Econ. , 8 : 145 – 148 .
  • Dickson , D. C. M. 1992 . On the distribution of the surplus prior to ruin . Insurance: Math. Econ. , 11 : 191 – 207 .
  • Dickson , D. C. M. and Gray , J. R. 1984 . Approximations to ruin probability in the presence of an upper absorbing barrier . Scand. Actuarial J. , : 105 – 115 .
  • Dickson , D. C. M. and Waters , H. R. 1991 . Recursive calculation of survival probabilities . Astin Bull. , 21 : 199 – 221 .
  • Dickson , D. C. M. and Waters , H. R. 1992 . The probability and severity of ruin in finite and in infinite time . As tin Bull. , 22 : 177 – 190 .
  • Dos Reis , A. E. 1993 . How long is the surplus below zero? . Insurance: Math. Econ. , 12 : 23 – 38 .
  • Dufresne F. and Gerber , H. U. 1989 . Three methods to calculate the probability of ruin . Astin Bull. , 19 : 71 – 90 .
  • Gerber , H. U. 1973 . Martingales in risk theory . Mitteilungen der Vereinigung Schweizerischer Versicherungsmathematiker , 73 : 205 – 216 .
  • Gerber , H. U. 1979 . An introduction to mathematical risk theory , SS Huebner Foundation Monograph Series No. 8 . Distributed by R. Irwin, Homewood, IL.
  • Gerber , H. U. , Goovaerts , M. J. and Kaas , R. 1987 . On the probability and severity of ruin . Astin Bull. , 17 : 151 – 163 .
  • Panjer , H. H. 1981 . Recursive calculation of a family of compound distributions . Astin Bull. , 12 : 22 – 26 .
  • Seal , H. L. 1969 . Stochastic theory of a risk business , New York : Wiley .
  • Sundt , B. and Jewell , W. S. 1981 . Further results on recursive evaluation of compound distributions . Astin Bull. , 12 : 27 – 39 .

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