长株潭“3＋5”城市群土地集约利用评价研究

在分析城市土地集约利用的概念与内涵的基础上,结合城市群实际情况,首先构建长株潭城市群土地集约利用指标体系,然后利用模糊数学方法构建城市土地集约利用评价模型,据此对长株潭3+5城市群土地集约利用水平进行定量测定。研究结果表明:除长沙市和岳阳市处于基本集约外,城市群其它各城市及城市群整体的土地集约利用水平较低;城市群土地集约利用水平在时间上呈现总体上升趋势;城市群土地集约利用水平的区域差异明显,并与区域经济的差异高度相关;影响土地集约利用水平的因素涉及人口、资源、环境、经济与社会等各个方面。     

数学实验教学的实践与认识

传统数学教学模式是理论教育，学生从定义到定理，从推导到结论，无一不是纸上验算的结果。在不断普及与迅速发展的计算机等先进科技支持下，数学教育应该转变传统的教学模式，走进实验室。“数学实验”课的开设，使这一设想变为现实。     

On detecting outliers in the Pareto distribution

In this paper, we introduce two new statistics for detecting outliers in the Pareto distribution. These new statistics are the extension of the statistics for detecting outliers in exponential and gamma distributions. In fact, we compare the power of our test statistics with the other statistics and select the best test statistic for detecting outliers in the Pareto distribution. Finally, numerical examples of different insurance claims are used to see the performance of the test.     

高职高专院校学生数学学习方法浅议

结合高职高专学生的特点和数学学习规律,介绍高职高专学生数学学习方法,指导学生更好地学习数学,提高学习效率。     

Bayesian variable selection using an adaptive powered correlation prior

The problem of selecting the correct subset of predictors within a linear model has received much attention in recent literature. Within the Bayesian framework, a popular choice of prior has been Zellner's g<math altimg="si229.gif" overflow="scroll">gmath>-prior which is based on the inverse of empirical covariance matrix of the predictors. An extension of the Zellner's prior is proposed in this article which allow for a power parameter on the empirical covariance of the predictors. The power parameter helps control the degree to which correlated predictors are smoothed towards or away from one another. In addition, the empirical covariance of the predictors is used to obtain suitable priors over model space. In this manner, the power parameter also helps to determine whether models containing highly collinear predictors are preferred or avoided. The proposed power parameter can be chosen via an empirical Bayes method which leads to a data adaptive choice of prior. Simulation studies and a real data example are presented to show how the power parameter is well determined from the degree of cross-correlation within predictors. The proposed modification compares favorably to the standard use of Zellner's prior and an intrinsic prior in these examples.     

规范高等学校数理化公共基础课程体系的探索与实践

在高等数学、概率论与数理统计、线性代数、大学物理、大学化学五门数理化公共基础课程建设中,将公共基础课按11门课程体系进行科学分类,并在新体系下进行各课程规范化建设,实施教学改革。     

基于模糊复合实物期权的企业重大持续改进项目估值研究

重大持续改进项目已成为制造业企业提高全员创新能力、加快运营转型的重要载体。这些重大持续改进项目具有投资大、周期长、分阶段投资、不确定性高、灵活性强等特点,而传统的NPV方法忽略了这类项目的灵活性决策价值,不能准确进行价值评估,容易导致决策者丧失投资机会。考虑到环境的不确定性,在挖掘重大持续改进项目的实物期权特性后,本文采用模糊数学和复合实物期权相结合的方法,构建了此类项目的估值模型。案例研究结果表明：该方法能有效识别项目管理的灵活性价值,为管理者的项目投资决策提供重要保障;同时,该方法对于同类项目的估值也具有一定参考意义。