期刊文献+

具有随机收入的扰动更新风险模型(英文)

THE PERTURBED RENEWAL RISK MODEL WITH STOCHASTIC INCOME
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摘要 本文研究了一类随机收入的扰动更新风险模型的破产问题.运用拉普拉斯变换以及拉格朗日差值公式得到了Gerber-Shiu函数的拉普拉斯变换的渐近表达式,推广了文献[4]中的结论. In this paper, the ruin problems under stochastic income in the perturbed renewal risk model are considered. By using Laplace transform and Lagrange interpolation formula, the asymptotic results for Gerber-Shiu function are derived when the individual stochastic premium sizes are exponentially distributed, which generalize the results of [4].
出处 《数学杂志》 CSCD 北大核心 2014年第2期225-234,共10页 Journal of Mathematics
基金 Supported by Key Laboratory of High Performance Computing and Stochastic Information Processing
关键词 Gerber—Shiu折罚函数 拉普拉斯变换 随机收入 Gerber-Shiu discounted oenalty function Laplace transform stochastic income
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参考文献5

  • 1Chantal Labb@, Kristina P Sendova. The expected discounted penalty function under a risk model with stochastic income[J]. Applied Mathematics and Computation, 2009, 215: 1852-1867.
  • 2Dickson D C M, Hipp C. On the time to ruin for Erlang(2) risk process [J]. Insurance: Mathematics and Economics, 2001, 29: 333-344.
  • 3Li S, Garrido J. On ruin for the Erlang(n) risk process[J]. Insurance: Mathematics and Economics, 2004, 34: 391-408.
  • 4Zhao Y, Yin C. The expected discounted penalty function under a renewal risk model with stochastic income[J]. Applied Mathematics and Computation, 2012, 218, 6144-6154.
  • 5Bao Z H. The expected discounted penalty at ruin in the risk process with random income[J]. Applied Mathematics and Computation, 2006, 179: 559-566.

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