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EXPLICIT EXPRESSIONS FOR SOME DISTRIBUTIONS RELATED TO RUIN PROBLEMS

EXPLICIT EXPRESSIONS FOR SOME DISTRIBUTIONS RELATED TO RUIN PROBLEMS
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摘要 The classical risk process that is perturbed by diffusion is studied. The explicit expressions for the ruin probability and the surplus distribution of the risk process at the time of ruin are obtained when the claim amount distribution is a finite mixture of exponential distributions or a Gamma (2, α) distribution. The classical risk process that is perturbed by diffusion is studied. The explicit expressions for the ruin probability and the surplus distribution of the risk process at the time of ruin are obtained when the claim amount distribution is a finite mixture of exponential distributions or a Gamma (2, α) distribution.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2003年第1期53-60,共8页 数学物理学报(B辑英文版)
关键词 Ruin probability surplus distribution at the time of ruin finite mixture of exponential distributions Gamma distribution Ruin probability, surplus distribution at the time of ruin, finite mixture of exponential distributions, Gamma distribution
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参考文献5

  • 1Dufresne F, Gerber H U. Risk theory for the compound Poisson process that is perturbed by diffusion.Insurance: Mathematics and Economics, 1991, 10:51-59
  • 2Veraverbeke N. Asymptotic estimates for the probability of ruin in a Poisson model with diffusion. Insur ance: Mathematics and Economics, 1993, 13:57-62
  • 3Furrer H J, Schmidli H. Exponential inequalities for ruin probabilities of risk process perturbed by diffusion. Insurance: Mathematics and Economics, 1994, 15:23-36
  • 4Schmidli H. Cramer-Lundberg approximations for ruin probabilities of risk processes perturbed by diffusion. Insurance: Mathematics and Economics, 1995, 16:135-149
  • 5Wang G, Wu R. Some distributions for classical risk process that is perturbed by diffusion. Insurance:Mathematics and Economics, 2000, 26:15-24

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