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对于在次指数组下一种离散风险模型破产概率的一致渐近估计(英文)
A uniform asymptotic estimate for ruin probability of a discrete-time risk model with subexponential innovations
【摘要】 考虑递归等式Tn=Xn+Tn-1Yn,其中Xn和Yn相互独立,等式右边的Tn-1独立于(Xn,Yn).假设Xn的分布函数属于次指数族,并且具有非零的下Karamate指数,同时(Xn,Yn)满足一定的相依结构,对等式中Tn的尾部概率进行了估计.
【Abstract】 The recursive equation Tn=Xn+Tn-1 Yn was considered,in which Xnand Ynare two independent random variables,and Tn-1 on the right-hand side is independent of(Xn,Yn).Under the assumption that Xn follows a subexponential distribution with a nonzero lower Karamata index,and that(Xn,Yn)fulfills a certain dependence structure,some asymptotic formulas were obtained for the tail probabilities of Tnin this equation.
【关键词】 渐近性;
下Karamata指数;
次指数族;
一致性;
【Key words】 asympotics; the lower Karamata index; subexponentiality; uniformly;
【Key words】 asympotics; the lower Karamata index; subexponentiality; uniformly;
【基金】 Supported by the National Key Research and Development Plan(2016YFC0800104);National Nature Science Foundation of China(71771203)
- 【文献出处】 中国科学技术大学学报 ,Journal of University of Science and Technology of China , 编辑部邮箱 ,2017年11期
- 【分类号】O211.67
- 【下载频次】39