Ruin Probability with Variable Premium Rate and Disturbed by Diffusion in a Markovian Environment

We consider a risk model with a premium rate which varies with the level of free reserves. In this model, the occurrence of claims is described by a Cox process with Markov intensity process, and the influence of stochastic factors is considered by adding a diffusion process. The integro-differential equation for the ruin probability is derived by a infinitesimal method.     

低沸点烷烃Kovats指数的拓扑结构研究

本文应用拓扑指数法研究烷烃化合物的色谱保留指数，并通过多元回归分析得到了烷烃的拓扑结构与色谱保留指数的良好的相关性，当测得某一有机物的保留指数时便可估计其结构特征，从而为烷烃化合物的色谱定性分析提供了可靠的信息。     

1998年至2003年山西省科技进步统计分析

通过山西省5年期间科技进步统计检测指标位次，进一步分析了科技进步统计监测体系的四个一级指标。     

树木修剪量化考核指标探讨

通过多年一体化教学实践，总结出树木修剪实习考核的量化指标，适合于园林绿化专业学生，便于合理地评价树木修剪的效果和学生操作水平。     

减少化验次数的一个优化模型

依据数学理论证明在一定条件下，可以减少化验次数；并给出了选择方法；建立了一个减少化验次数的优化模型。     

系统的分散与集中的决策：（Ⅱ）分散控制效果分析

分散集中系统是一种重要的工业过程控制系统．合适的分散度有利于提高系统的性能指标，尤其是动态响应速度和误差时间的积分值都有明显地改善．文中提出若干系统分散的选择原则，并用仿真和理论分析加以证明．     

一类非光滑最优化信赖域算法

本文把通常的光滑信赖域算法推广到非光滑情形，目标函数仅为局部李普希兹连续，文中子问题的目标函数不必是通常的二次逼近形式。     

两个组合恒等式的概率证明

给出了两个组合恒等式的概率证明，扩展了已知的结果。     

Method for Risky Multiobjective Group Decision-Making and Its Application

The multiobjective group decision-making problem under risk is common in reality. This paper focuses on the study about risky multiobjective group decision-making problem where the index value is not certain. We give indexes classifying method and index normalizing formula of this type problem. By building objective function that minimizes general weighted distance from every alternative to the relatively best and worst alternative, the optimal membership degree of every decision-maker to every alternative can be obtained, and by building another objective function that minimizes general weighted distance from the optimal membership degree of every decision-maker to every alternative to the group optimal alternative and the group inferior alternative, the optimal membership degree of every decision-maker to every alternative can be obtained, which are both based on probability theory and fuzzy theory. Aftermost a model is established which collects group preferences. This method provides a new idea and     

模糊综合评价防空指挥自动化系统效能

通过对防空指挥自动化系统性能的全面分析 ,建立了其系统效能综合评判的指标体系 ,给出了系统效能评价模型和评价方法 ,介绍了运用择优比较法确定权重的方法 ,并进行了实例分析 .