Ranking Income Distributions According to Equality of Opportunity

According to the opportunity egalitarian ethics, economic inequalities due to factors beyond the individual responsibility are inequitable and to be compensated by society, whereas inequalities due to personal responsibility are equitable and not to be compensated. In this paper we derive welfare and inequality criteria that respect this principle of justice. We characterize axiomatically classes of opportunity egalitarian social evaluation functions. Then, by requiring unanimous agreement among such classes, we provide simple distributional conditions to rank income distributions. These criteria extend the Lorenz and generalized Lorenz partial orderings, commonly used in the unidimensional case of income distributions, to the current context of equality of opportunity.     

关于概率论与数理统计的两点注记

本文对正态随机变量的线性组合的分布，对正态总体的样本极差与标准差之问的关系，作了两点评注。     

常微分方程组的两个新的可积类型

本文给出了两类常微分方程组的求解法，论证了它们的可积性．     

关于曲线拐点的定义及判别法

通过对不同教材中拐点定义进行比较、分析,给出了拐点较为恰当的定义,并在此基础上给出了拐点的三个新的判别定理.     

三维参数化曲线插值方法研究

基于通用参数化曲线表示方法，推导出了三维空间曲线的插值算法，并对其影响该算法精度的因素进行了分析．结果表明，该方法不仅具有较高的插值精度，而且通用性强，可适用于平面和空间曲线的参数化插值。     

代数基本定理的分析证明

通过《数学分析》中近似计算的方法 ,利用P(z)与zn 之间的幅角关系 ,讨论了P(z)与△qargP(z)在零点的对应关系 ,在此基础上证明了代数基本定理 ,并扩大了该定理的证明范围 .     

学习理论对应用型本科教学的启示

教学模式和课程设置是应用型本科教育改革的重点。在革新教学内容,优化课程设置方面,以科学的学习理论为指导,将有助于我们正确把握现代科学教育的理念,遵循应用型人才的成长特点和培养过程规律,使课程的结构和设置更具科学性。本篇就学习基本理论作了简要概述,还运用学习曲线来衡量学习的进步,按照学习圈的步骤建构学习,了解学习的迁移的两个基本方法,分析不同的学习风格产生不同的学习效果,创建学习型组织进行培训以期获得更好的个人发展。     

玻璃钢/聚胺脂夹层梁动态性能研究

应用夹层梁弯曲振动理论、振动有限元法及实验模态分析,对不同表板和夹心厚度的玻璃钢/聚胺脂夹层梁进行动态特性研究.给出了这种夹层梁的一些重要性质,可直接用于工程设计.     

凸轮轴自动检测仪中凸轮升程误差计算方法的研究

论述了凸轮轴自动检测仪计算机软件系统中的凸轮对称中心线寻优法,各采样点绝对升程值获取法以及利用N次谐波曲线拟合法求取凸轮节点升程误差及误差曲线。     

Prediction Regions for Bivariate Extreme Events

This paper suggests using a mixture of parametric and non‐parametric methods to construct prediction regions in bivariate extreme‐value problems. The non‐parametric part of the technique is used to estimate the dependence function, or copula, and the parametric part is employed to estimate the marginal distributions. A bootstrap calibration argument is suggested for reducing coverage error. This combined approach is compared with a more parametric one, relative to which it has the advantages of being more flexible and simpler to implement. It also enjoys these features relative to predictive likelihood methods. The paper shows how to construct both compact and semi‐infinite bivariate prediction regions, and it treats the problem of predicting the value of one component conditional on the other. The methods are illustrated by application to Australian annual maximum temperature data.