常利率下复合泊松-更新风险模型的破产问题

本文研究了常数利率下, 保费收入为复合Poisson 过程, 理赔到达过程为一般更新过程的风险模型. 利用离散化的方法, 获得了该风险模型的破产概率、破产时余额分布及破产前瞬间余额分布的级数展开式, 推广了文[1] 和文[2] 中的相关结果.     

常利率下复合泊松-更新风险模型的破产问题

本文研究了常数利率下,保费收入为复合Poisson过程,理赔到达过程为一般更新过程的风险模型.利用离散化的方法,获得了该风险模型的破产概率、破产时余额分布及破产前瞬间余额分布的级数展开式,推广了文[1]和文[2]中的相关结果.     

常利率下Erlang(2)风险模型的破产前盈余,破产时赤字及其联合分布

本文主要研究常利率下的 Erlang(2 )风险模型的破产前瞬间盈余分布 ,破产时赤字分布 ,以及它们的联合分布 .     

关于古典风险模型的一个联合分布

本文主要讨论古典风险模型矿产瞬间前的余额，破产时的赤字，破产前的最大余额，最后一次破产前的最大余额等的联合分布。     

一类Cox风险过程中的三联分布(英文)

本文研究了一类Cox风险过程破产时、破产瞬间前的余额、破产时的赤字这三个重要精算量的联合分布,并给出了一些密度测度的分布.     

关于常利率风险模型在破产前后余额的分布

本文对常利率风险模型运用拉普拉斯变换给出了破产前后余额通过破产概率函数表示的有限公式,以及破产概率的分析表达式,另外对于破产前后余额分布的密度与破产前余额密度之间关系简要说明。     

随机利率离散时间风险模型的破产问题

本文研究了引入随机利率的离散时间风险模型, 得到了破产持续时间的分布、盈余回复为正后的瞬间的盈余分布、 破产前最大盈余的分布、破产前盈余破产后赤字与破产前最大盈余的联合分布、 有限时间内穿出水平$x$的分布所满足的积分方程, 并同时证明了所得积分方程解的存在唯一性.     

离散时间模型下最大赤字问题

本文对引入利率的离散时间风险模型得到了破产前最大盈余的分布 ,破产前盈余、破产后赤字与破产前最大盈余的联合分布以及首达某一水平 x的时间分布的递推公式 ,对不带利率的模型得到了最大赤字、发生最大赤字的时间的分布     

保费到达为平衡更新过程的复合更新风险模型

本文研究保费到达为平衡更新过程的复合更新风险模型 ,给出了有限时间内的生存概率分布 ,破产时间 T与破产时资产盈余 U(T)的联合分布 ,及破产时间 T与破产前瞬时盈余 U(T- )的联合分布 .     

索赔为一般到达的保险风险模型

本文应用作者们提出和建立的Markov骨架过程方法，研究了索赔为一般到达的保险风险模型，得到了破产时间分布以及破产时间与破产时刻前后资产盈科的联合分布，由此可计算出人们关心的一些重要指标。     

理赔为一般到达的常利率风险模型

In this paper, we discuss the insurance risk models of general arrrival of claims with con-stant interest force, prove that the surplus process {Xб(Tn), n≥0} at claim occurrence times T. is ahomogeneous Markov skeleton one,and give the distribution of surplus assets prior to and ruin andthe joint distrubutions of the ruin time and them.     

Asymptotic ruin probabilities in a generalized bidimensional risk model perturbed by diffusion with constant force of interest

In the paper, we study three types of finite-time ruin probabilities in a diffusion-perturbed bidimensional risk model with constant force of interest, pairwise strongly quasi-asymptotically independent claims and two general claim arrival processes, and obtain uniformly asymptotic formulas for times in a finite interval when the claims are both long-tailed and dominatedly-varying-tailed. In particular, with a certain dependence structure among the inter-arrival times, these formulas hold uniformly for all times when the claims are pairwise quasi-asymptotically independent and consistently-varying-tailed.     

初论一类风险模型下的破产时刻罚金折现期望

考虑一类具有Poisson过程和Erlang(n)过程的风险模型的破产问题,该模型中保险公司具有两类保险,每类保险的理赔次数过程都是Poisson过程与一个共同的Erlang(n)过程的和.针对这类理赔相关的风险模型,就利息力为常数的情形得到破产时刻罚金折现期望的积分—微分方程.     

Ruin probability in the presence of interest earnings and tax payments

In this paper we investigate the ruin probability in a general risk model driven by a compound Poisson process. We derive a formula for the ruin probability from which the Albrecher–Hipp tax identity follows as a corollary. Then we study, as an important special case, the classical risk model with a constant force of interest and loss-carried-forward tax payments. For this case we derive an exact formula for the ruin probability when the claims are exponential and an explicit asymptotic formula when the claims are subexponential.     

The ruin probability of the renewal model with constant interest force and negatively dependent heavy-tailed claims

Recently, Tang [Tang, Q., 2005a. Asymptotic ruin probabilities of the renewal model with constant interest force and regular variation. Scand. Actuar. J. (1), 1–5] obtained a simple asymptotic formula for the ruin probability of the renewal risk model with constant interest force and regularly varying tailed claims. In this paper, we use a completely different approach to extend Tang’s result to the case in which the claims are pairwise negatively dependent and extended regularly varying tailed.     

Ruin problems for an autoregressive risk model with dependent rates of interest

In this paper, we consider a discrete insurance risk model in which the claims, the premiums and the rates of interest are assumed to have dependent autoregressive structures (AR(1)). We derive recursive and integral equations for expected discounted penalty function. By these equations, we obtain generalized Lundberg inequality for the infinite time severity of ruin and hence for the infinite time ruin probability, consider asymptotic formula for the finite time ruin probability when loss distributions have regularly varying tails, and study some probability properties of the duration of ruin.     

Exponential Bounds for Ruin Probability in Two Moving Average Risk Models with Constant Interest Rate

The authors consider two discrete-time insurance risk models. Two moving average risk models are introduced to model the surplus process, and the probabilities of ruin are examined in models with a constant interest force. Exponential bounds for ruin probabilities of an infinite time horizon are derived by the martingale method.     

Asymptotic ruin probabilities for a multidimensional renewal risk model with multivariate regularly varying claims

This paper studies a continuous-time multidimensional risk model with constant force of interest and dependence structures among random factors involved. The model allows a general dependence among the claim-number processes from different insurance businesses. Moreover, we utilize the framework of multivariate regular variation to describe the dependence and heavy-tailed nature of the claim sizes. Some precise asymptotic expansions are derived for both finite-time and infinite-time ruin probabilities.     

保险公司在固定利率下的离散型破产概率

本提出并讨论了在固有利率下含投资因素、红利分配因素的两种离散型破产模型，分别得出了相应模型下关于保险公司的破产概率、期望寿命的结论，推广散没有考虑利率因素的离散型破产模型的有关结论。     

正则变化场合常数利息力度的破产概率

研究了常数利息力度下的破产概率.在索赔来到过程为更新过程,索赔额分布为Pareto型的场合下,得到了有限索赔次数破产概率的渐进表达公式.该结果推广了Kluppelberg和Stadtmuller(1998)和Qihe Tang(2005)的结果.