索赔次数服从泊松负二项分布的风险模型的破产概率
he Ruin Probability of the Risk Model with Claim Numbers in PNB Distribution
对带有退保及随机投资收益的风险模型进行研究, 其中索赔次数服从泊松负二项分布, 且退保次数是保费收取次数的一个p-稀疏过程, 运用鞅论得到了破产概率满足的Lundberg不等式和一般公式, 并给出了索赔额服从指数分布时调节系数满足的方程.
In this paper, the ruin probability of the risk model with refunding and stochastic return on investment is studied, where the claim numbers are PNB distribution and the refunding numbers as the p-thinning process of the charge of premium. The Lundberg inequality and the formula of the ruin probability of this model is given by the martingale theory, the equation of accommodation coefficient is also given when the claim amounts are exponentially distribution..
牛银菊、邓丽
数学
泊松负二项分布风险模型破产概率鞅论
PNB distributionrisk modelruin probabilitymartingale theory
牛银菊,邓丽.索赔次数服从泊松负二项分布的风险模型的破产概率[EB/OL].(2015-04-07)[2025-08-03].http://www.paper.edu.cn/releasepaper/content/201504-132.点此复制
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