确定事件视界的新公式

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A Study of Evaluation System of Restricting Factors in Training Students‘ Qualities

This paper studies evaluation system of restricting factors in training students' qualities by modern mathematical method of analysis hierarchy process and principal factor analysis, and to build up a mathematical model of evaluation system.     

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.     

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。     

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     

一种考虑补偿信用风险资本要求的算法

基于现行法定资本体制不考虑信用投资组合的多样化和限制空头信用风险头寸的补偿能力，设计了一种考虑补偿的信用风险资本要求的计算方法．该算法根据信用等级决定风险权重，可以更精确地测定信用风险资本．采用期限分段方法建立一个期间结构，区分当前和远期信用风险，考虑多头与空头信用风险头寸间的补偿．     

临近空间单粒子效应的数值模型和电路模拟

针对临近空间单粒子效应进行了数值模型仿真和特征尺寸为0.1 μm的反相器电路的脉冲注入模拟研究。数值仿真结果表明器件临界电荷随着工作电压的降低而减小,敏感横截面随着临界电荷的降低而逐渐增大。临近空间微电子器件的单粒子翻转概率随敏感横截面增大而上升,但其又随临近空间高度的增加而下降。此外,利用SPICE软件脉冲注入模拟观察到了反相器电路的单粒子翻转现象。所得结论有助于深入研究临近空间的单粒子效应并为器件抗辐射加固提供了理论依据。     

概率论与数理统计课程教学改革初探

结合教学实践,从教材和教学模式两方面探讨了概率论与数理统计的教学改革。     

一个Markov转移概率函数的确定

利用柯尔莫哥洛夫向前方程计算了电话呼唤次数的随机过程的转移概率函数。