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负相依赔付下延迟风险模型的破产概率
引用本文:肖鸿民,李红.负相依赔付下延迟风险模型的破产概率[J].兰州大学学报(自然科学版),2012,48(3):118-122.
作者姓名:肖鸿民  李红
作者单位:西北师范大学数学与信息科学学院,兰州,730070
基金项目:国家自然科学基金,甘肃省高校研究生导师项目
摘    要:考虑一类带常数利息力的延迟索赔更新风险模型,该模型中包含了两种索赔:主索赔和延迟索赔.在主索赔额、延迟索赔额序列各自为负相依同分布且属于重尾分布L∩D族随机变量序列的情形下,得到了有限时间破产概率的渐近等价表达式.

关 键 词:延迟索赔更新风险模型  常利息力  破产概率  负相依  渐近表达式

Ruin probability for a delayed-claims risk model under ND claims
XIAO Hong-min , LI Hong.Ruin probability for a delayed-claims risk model under ND claims[J].Journal of Lanzhou University(Natural Science),2012,48(3):118-122.
Authors:XIAO Hong-min  LI Hong
Institution:College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China
Abstract:A renewal risk model for delayed claims with constant interest force was considered,in which each main claim might induce a delayed claim after a random time delay.Under the assumptions that the sequences of the main and delayed claims are negatively dependent random variables with a common distribution and that the claim sizes belong to the heavy-tailed distribution class L∩D,an asymptotical equality expression of the finite time ruin probability was obtained.
Keywords:delayed-claims renewal risk model  constant interest force  ruin probability  negatively dependent  asymptotical equality expression
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