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1.
考虑了2个带有常数利息率的相依更新风险模型.首先研究了非复合风险模型,其中索赔额是上尾渐近独立且带有控制变换尾分布的非负随机变量,索赔时间间隔是宽下象限相依的,保费收入过程是一个非负的随机过程,利用风险理论中的方法,得到了有限时破产概率在某个有界区间上的一致渐近性.在此基础上,利用随机和尾渐近性的分析方法,进一步研究获得了更为复杂且合理的复合相依更新风险模型中有限时破产概率的一致渐近性公式,其中单个索赔额特殊化为广义负相依的,并且事故时间间隔仍然保持宽下象限相依的,索赔额和索赔次数均为控制变换尾的.  相似文献   

2.
对于包括两种独立类型的离散时间风险模型,假设第一类的索赔间隔时间是服从几何分布的随机变量,并且第二类索赔间隔时间是两个相互独立的各自服从几何分布的随机变量的总和,当两类的赔款服从几何分布时,便可以得到Gerber-Shiu期望折现罚金函数的表达式.  相似文献   

3.
描述了两相依风险xy(i=1,2;j=1,2,…,Ni),其中xy表示第i类风险在第j次索赔的索赔额.Ni表示第i类风险在一段时间内的索赔次数.所依据的保费计算原理为P=αER(x) rD2R(x)(α,r≥0),在这种保费计算原理下,研究两相依风险下的原保险人效用最大化问题.  相似文献   

4.
通过讨论投资收益总额为复合poisson过程的风险模型,得到了其Gerber-Shiu折现罚金函数满足的积分-微分方程,并且在索赔额和收益额的分布为指数分布的情况下得到了Gerber-Shiu折现罚金函数及其相关精算量满足的微分方程。  相似文献   

5.
本文讨论了一个更新风险模型的破产概率问题。在索赔额分布属于L∩D族的场合下.且在ND情形利率为常数的情况下。得到了一个关于破产概率的尾近似表达式。  相似文献   

6.
研究一类风险模型,其中保单到达过程是复合Poisson-Geometric过程,而描述索赔发生的计数过程为保单到达过程的q-稀疏过程,且保费收入为独立同分布的随机变量,并且带有Brown运动,应用鞅的方法得到了该模型破产概率的上界和表达式。  相似文献   

7.
对带两种独立类型的保险风险的离散时间风险模型,我们假设第一类的索赔间隔时间是服从几何分布的随机变量,第二类索赔间隔时间是两个相互独立的各自服从几何分布的随机变量的总和,当两类的赔款服从几何分布时可以得到Gerber-Shiu期望折现罚金函数的表达式.由定义的Dickson-Hipp算子,得到罚金函数的简化表达式.  相似文献   

8.
建立了利息强度随时间连续变化,索赔额分布服从Pareto分布,索赔次数为更新过程的风险模型.获得了保险公司的有限时间破产概率的近似表达式.  相似文献   

9.
提出了一种索赔具有时间相关性的复合二项风险模型,即假设在任何一个时间区间内每一个主索赔都以一定概率引起一个副索赔。讨论了该模型的Gerber-Shiu折现罚金函数,并且得到了Gerber-Shiu折现罚金函数的渐近解和解析解。  相似文献   

10.
研究一类风险过程,其中保费收入为复合Poisson过程,而描述理赔发生的计数过程为保单到达过程的p-稀疏过程.运用鞅方法得出破产概率满足的Lundberg不等式和一般公式,给出当收取的保费和索赔额均为指数分布时破产概率的具体表达式,并通过数值计算研究了初始准备金的变化及保单到达和理赔发生之间的相互关系对保险公司经营的影响.  相似文献   

11.
本文进一步讨论了两类相关风险模型中破产概率的相关结果, 研究了索赔过程为特殊的广义Pois2 son 过程, 索赔额分布为指数分布时生存概率的求解问题  相似文献   

12.
两类风险过程总理赔量分布的平移伽玛近似   总被引:1,自引:1,他引:0  
考虑了含两个类的风险过程,首先介绍复合Poisson分布的一些性质,在此基础上给出了含两个类的风险过程总理赔量分布的近似,并对指数理赔分布的情形给出数值计算结果。  相似文献   

13.
考虑了一类以几何布朗运动作为随机利率且索赔量与索赔间隔相依的带干扰的风险模型,得到了Gerber-Shiu折扣罚金函数满足的积分-微分方程及其初值条件,并给出了特殊条件下破产概率满足的三阶微分方程及其初值条件.  相似文献   

14.
考虑一类索赔依交错更新过程来到的风险过程,其索赔时间间隔是服从参数为λ1的指数分布和参数为λ2的指数分布交错持续的随机序列,索赔额是非负独立指数分布的随机变量序列。本文给出这类风险过程的破产概率的递推计算公式,从而解决了最终破产概率的近似求法。  相似文献   

15.
When the assumption of multivariate normality is violated and the sample sizes are relatively small, existing test statistics such as the likelihood ratio statistic and Satorra–Bentler’s rescaled and adjusted statistics often fail to provide reliable assessment of overall model fit. This article proposes four new corrected statistics, aiming for better model evaluation with nonnormally distributed data at small sample sizes. A Monte Carlo study is conducted to compare the performances of the four corrected statistics against those of existing statistics regarding Type I error rate. Results show that the performances of the four new statistics are relatively stable compared with those of existing statistics. In particular, Type I error rates of a new statistic are close to the nominal level across all sample sizes under a condition of asymptotic robustness. Other new statistics also exhibit improved Type I error control, especially with nonnormally distributed data at small sample sizes.  相似文献   

16.
This paper is a contribution to the development of the view that action research should be both personal and political. It is shown that the personal and particular, as expressed in autobiographical research methods, can also be political and critical. This claim is dependent on (1) the view that, to be epistemologically sound, a method needs to be critical and political and (2) the view that to be epistemologically sound, a method needs to be personal, and also to be revisable over time. Arguments are given for these two views, using feminist epistemology. It is recognised that the claim would be hollow if it were not possible to convert abstract requirements into actual methods. This possibility is demonstrated by (3) considering the method of autobiography in general, and ‘critical autobiography’ in particular, and (4) examining my own autobiographical writing in journals made during an action research project, using the criteria developed in (1) and (2).  相似文献   

17.
Statistical theories of goodness-of-fit tests in structural equation modeling are based on asymptotic distributions of test statistics. When the model includes a large number of variables or the population is not from a multivariate normal distribution, the asymptotic distributions do not approximate the distribution of the test statistics very well at small sample sizes. A variety of methods have been developed to improve the accuracy of hypothesis testing at small sample sizes. However, all these methods have their limitations, specially for nonnormal distributed data. We propose a Monte Carlo test that is able to control Type I error with more accuracy compared to existing approaches in both normal and nonnormally distributed data at small sample sizes. Extensive simulation studies show that the suggested Monte Carlo test has a more accurate observed significance level as compared to other tests with a reasonable power to reject misspecified models.  相似文献   

18.
Effect sizes are powerful tools for evaluating the practical importance of study findings that should be considered in the context of study characteristics such as participants, dependent variables, and comparison condition. In this article, we discuss how group‐difference effect sizes are used to gauge the practical importance of group experimental studies. We first define different types of group‐difference effect sizes and discuss how they can provide valuable information for research consumers. Second, we present guidelines for interpreting group‐difference effect sizes. Third, we discuss important contextual variables that should be taken into account when interpreting group‐difference effect sizes reported in the literature. Last, we provide two examples of how group‐difference effect sizes have been used in the learning disabilities research base.  相似文献   

19.
This study examined the time course of typing in prelingually and profoundly deaf as well as hearing individuals. Both groups of participants performed a written picture naming task and a written pseudoword task. Keystroke timing measurements from the written picture naming task revealed that the deaf as well as the hearing group were significantly delayed at syllable boundaries compared to identical within-syllable letter combinations. As the deaf are impoverished with respect to phonology based on spoken language experience, we postulate that syllabic segmentation is not crucially dependent on experience with spoken language. Furthermore, delays at syllable boundaries were not affected by word frequency in both groups, in contrast to the keys straddling a root morpheme boundary. Together with the finding that delays at syllable boundaries also occur in pseudowords, the experiments provide strong evidence towards post-lexical syllabification processes. Our results support previous findings which claim that (1) orthosyllables are autonomous and mode-specific entities, and (2) that the principles of syllabic organisation apply post-lexically.  相似文献   

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