关于概率论课的教学改革

本文通过作者多年的教学经验,本着理论联系实际的原则,对概率论课的教学内容、教学方法、考试方式等进行了一系列的改革.在提高教学质量的同时,学生的能力也普遍得到了提高.     

应用于分级网络的可扩展拓扑聚集算法

拓扑聚集在可扩展的路由机制中十分重要，如何在简化网络拓扑信息的同时获得好的性能，是拓扑聚集算法的关键问题．本提出了一个描述逻辑链路的新方法，能够简单有效地描述加性和乘性参数约束的网络，并扩展到多参数约束的情况．在此基础上，提出了一个改进的星型聚集算法．仿真结果表明该算法具有很好的性能．     

《概率统计》课程中采用兴趣与启发式教学

在概率统计课程教学中 ,探索兴趣与启发式教学 ,培养学生各方面的能力 ,取得了良好的效果     

基于R的《数理统计学》课程教学改革初探——以求常用分布分位数及其概率计算为例

《数理统计学》课程一直是大学理工、经管、医学统计等学科教学的核心课程之一。本文基于近年在国际上非常流行的开源软件R,探究R在《数理统计》课程教学改革中新的应用,改革中发现学生基于R的计算对问题理解的更透彻,更容易产生学习《数理统计》课程的兴趣,我们试图结合求常用分布分位数及其概率计算为例及应该注意的问题等来探讨《数理统计学》课程教学改革,从而为该课程与国际接轨,提高教学效果并为实现教学目标服务。     

Estimating network effects in China''s mobile telecommunications

A model is proposed along with empirical investigation to prove the existence of network effects in China's mobile telecommunications market. Futhernore, network effects on China's mobile telecommunications are estimated with a dynamic model. The structural parameters are identified from regression coefficients and the results are analyzed and compared with another literature. Data and estimation issues are also discussed. Conclusions are drawn that network effects are significant in China's mobile telecommunications market, and that ignoring network effects leads to bad policy making.     

复合Poisson风险模型下的生存概率

通过研究得出了在复合Poisson模型下，当赔付服从指数分布时有限时间内的生存概率的拉普拉斯变换公式。     

汽车保险的簇生点过程模型

文章将保险理赔的经典模型——复合泊松过程模型推广,建立簇生点过程模型．以概率母泛函为工具,给出了在(0,t]内理赔总量的均值与方差,并采用鞅分析方法证明了该模型下的Lundberg 不等式．然后将其推广到主过程为重随机过程的情形,得到了平行的结果．     

The Use and Interpretation of Logistic Regression in Higher Education Journals: 1988–1999

This article examines the use and interpretation of logistic regression in three leading higher education research journals from 1988 to 1999. The journals were selected because of their emphasis on research, relevance to higher education issues, broad coverage of research topics, and reputable editorial policies. The term logistic regression encompasses logit modeling, probit modeling, and tobit modeling and the significance tests of their estimates. A total of 52 articles were identified as using logistic regression. Our review uncovered an increasingly sophisticated use of logistic regression for a wide range of topics. At the same time, there continues to be confusion over terminology. The sample sizes used did not always achieve a desired level of stability in the parameters estimated. Discussion of results in terms of delta-Ps and marginal probabilities was not always cautionary, according to definitions. The review is concluded with recommendations for journal editors and researchers in formulating appropriate editorial policies and practice for applying the versatile logistic regression technique and in communicating its results with readers of higher education research.     

Calculation Model of Equivalent Strength for Induced Crack Based on Double-K Fracture Theory and Its Optimizing Setting in RCC Arch Dam

By means of fracture testing on roller-compacted concrete (RCC) three-point bending beams with two different specimen sizes, the P-CMOD complete curve for RCC was gained. Furthermore, by applying double-K fracture theory, KIC^ini,KIC^un, as well as the critical effective crack length and the critical crack tip opening displacement, were evaluated. Based on the double-K fracture parameters above, the calculation model of equivalent strength for induced crack was established, thus the calculation method on its initiation, stable propagation and unstable fracture was ascertained. Moreover, the finite element simulation analysis of stress field in ShaPai arch dam and the on-site observational splaying points of induced crack at different altitudes validated the reliability of the model. Finally, crack inducer‘s optimal setting in RCC arch dam was studied. It improves the design level of induced crack in RCC arch dam and satisfies the necessity of engineering practice.     

新工科背景下的《概率论与数理统计》教学

新工科对人才培养提出了更高的要求,作为一门重要的公共基础课,《概率论与数理统计》在人才培养中起到重要的作用。文章结合《概率论与数理统计》课程的特点,有针对性地提出了提高教育质量的改革方案。