双重筛选逐步判别分类方法及其应用

本文提出一个新的多元统计方法:双重筛选逐步判别分类,其目的是解决已知模型样本较少时,如何进行两类样本判别分类的问题,将此方法用于地质学中对于有矿和无矿的判别,取得较好的应用效果。     

平面C-B样条的奇拐点分析

平面C-B样条曲线是三次均匀B样条的推广.通过移动C-B样条曲线段的一个控制点而固定其余三个控制点的方法,讨论了在曲线上形成零曲率点的移动控制点的轨迹,得到了C-B样条曲线段的尖点判别曲线、拐点判别区域,同时也给出了在曲线段上生成重结点的移动控制点的轨迹区域.     

判别分析法在市场分析中的应用

一、问题的提出 近年来,市场销售疲软是我国经济生活中的突出问题.许多企业由于产品老化、质量不过关,包装、外在美观等方面的欠缺不得不停产。为了使产品适销对路、做到货畅其流,企业经营者必须掌握消费者的购买心理。在选择商品时,消费者往往不是据商品的某一特性,而是根据商品的多项指标如产品的内在质量,外型美观,式样以及包装等来判别商品是否中意。企业经营者进行市场分析的一个重要方面是充分利用顾客对商品评价的反馈信息,判别商品是畅销还是滞销,从而及时了解产、供、销之间的矛盾,按需组织生产,最大限度地满足人民群众日益增长的…     

市场竞争条件下的供应商选址模型研究

文章通过建立一个选址决策模型，对已有一个供应商存在的情况下，新进入该地区市场的供应商为获得最大的市场份额如何进行有效的选址决策进行了研究。在给定四个假设的基础上，构造了一个非线性规划问题，提出了进行区位决策的迭代算法，并对如何解决已有多个供应商及顾客有偏好的复杂情况进行了讨论。论文研究表明，在动态选址过程中，供应商从最大程度地占有市场的目标出发，倾向于定位在一个特定的市场吸引点。     

正项级数敛散性的一个判别法

基于正项级数的比较判别法和p-级数的敛散性,给出一个与D’Alembert判别法和Cauchy判别法平行的判别正项级数敛散性的方法.并通过实例对所给判别法的可行性进行检验,发现它是已有方法的一个有效补充.     

一带一路背景下企业地域影响力发展的规划研究

面对一个分布在新地理区域的新市场,合理规划区域服务影响力的发展战略对企业至关重要。本文假设企业的服务影响力在地理区域上的发展可以用其地理上分布的立足点来表示。单个立足点覆盖有限范围内的地理区域,并且在一个特定时刻用所有立足点所覆盖地理区域的总和来表示企业该时刻的发展状态。由于资源限制,企业对经济发展迅速的区域的覆盖必须在一定时间内逐步完成。因此,在发展时期内如何确定立足点的位置并使其位于知名城市中,是企业管理者亟待解决的问题。针对这个问题,本文首先基于时间序列预测方法建立了区域经济指标评估模型;然后使用集合覆盖理论提出了以成本和满意度为目标的选址优化模型并使用分支定界算法求解该模型;最后,使用从“一带一路”地区收集的数据对模型进行了检验。结果表明,该方法对有相关问题的企业具有较大的参考价值。     

“正项级数收敛性的一种新的判别法”的注记

给出了标题中所述文章的一个注记.首先否定了该文中的一个断语,其次指出了该文中的"新的判别法"的适用范围并没有超过Cauchy根值判别法.     

基于贝叶斯信息更新的失事飞机发现概率模型

了目标搜索区域的确定方法以及失事飞机在目标搜索区域的初始概率分布,得到发现概率的计算公式。以发现概率为目标,构造了一个求解最优搜寻策略的Max Max化规划模型,模型可以动基于贝叶斯方法,提出了一个失事飞机的发现概率模型,利用飞机失联前后的信息数据,给出态地对坠机点的概率分布进行更新,使下一步搜寻任务得到及时的修正和调整。考虑到洋流对坠机点的影响,本文还提出了一个关于基点先验概率分布的重构策略。此外,对任务搜索区域最优路径的选取问题做了进一步探讨,给出了一个任务搜索区域上搜寻路径的选取方法     

正项级数Kummer判别法的一个推广及其应用

本文给出并证明了正项级数 Kum mer判别法的一个推广 ,在更一般的意义下讨论了通常的正项级数判别法 ,扩大了原来的判别法判断敛散性的范围 .     

基于混合模型的利润驱动违约判别临界点研究

违约判别临界点是金融机构是否接受客户贷款申请的重要参考,合适的违约判别临界点对减少金融机构贷款损失实现稳健经营具有重要意义。本文研究的问题是如何保证计算客户违约概率的准确性,并找到利润最大化的违约判别临界点。本文的创新与特色：一是通过将多个不同类型的违约判别模型计算的客户违约概率进行加权平均,保证了计算客户违约概率的的整体准确性,避免了使用单一模型计算客户违约概率不准确的弊端;二是通过定义金融机构从贷款中获得利润的计算公式,以利润最大为目标,求解违约判别临界点,避免了现有计算临界点的方法如广义对称点估计和经验似然法等方法得到的临界点利润不是最大的弊端。研究发现：混合模型比单一模型的准确性高,AUC值显著提高;在人人贷数据集中本文的违约判别临界点下贷款利润远高于其他方法下临界点的利润。     

DEA–DA for bankruptcy-based performance assessment: Misclassification analysis of Japanese construction industry

This study describes a practical use of Data Envelopment Analysis–Discriminant Analysis (DEA–DA) for bankruptcy-based performance assessment. DEA–DA is useful for classifying non-default and default firms based upon their financial performance. However, when we apply DEA–DA to a data set on corporate bankruptcy, we usually face three problems. First, there is a sample imbalance problem because the number of default firms is often limited. In contrast, we can easily obtain a large number of non-default firms. Second, there is a computational problem to deal with a large data set. We need to consider a computational strategy to reduce the dimension of a large data set. Finally, we need to consider data alignment because the location of default firms may exist within that of non-default firms. This study discusses a simultaneous occurrence of the three problems from the perspective of Japanese industrial policy on construction business. To handle the three problems, this study combines DEA–DA with principal component analysis to reduce the computational burden and then alters DEA–DA weights to address both the sample imbalance problem and the location problem. This study also discusses a combined use between DEA–DA and rank sum tests to examine statistically hypotheses related to bankruptcy assessment. As an important application, we apply the proposed approach to the Japanese construction industry and discuss why many Japanese construction firms are misclassified.     

我国城市设施水平的主成分分析

本文提出多元统计分析的一种评价方法：通过对全国31个省市自治区的城市设施水平进行主成分分析，就各地区城市设施水平进行统计评价，揭示我国城市的发展质量、城市居民的生活质量，找出各地区在设施建设各方面的优势与不足，为我国今后的城市化道路提供科学的参考依据。     

Methodological comparison between DEA (data envelopment analysis) and DEA–DA (discriminant analysis) from the perspective of bankruptcy assessment

This study compares DEA (data envelopment analysis) with DEA–DA (discriminant analysis) in terms of bankruptcy assessment. Recently, many DEA researchers propose a use of DEA as a quick-and-easy tool to assess corporate bankruptcy. Meanwhile, other DEA researchers discuss a use of DEA–DA for bankruptcy-based financial analysis. The two groups are very different from the conventional use of DEA because we have long applied DEA to the measurement of operational performance, or productivity analysis. The two research groups open up a new application area (bankruptcy-based financial assessment) for DEA. This study discusses methodological strengths and weaknesses of DEA and DEA–DA from the perspective of corporate failure. The proposed comparative analysis has the three main criteria: (a) how to handle negative data in financial variables, (b) how to handle data imbalance between default and non-default firms, and (c) how to identify a failure process over time. This study finds that DEA is a managerial tool for the initial assessment of corporate failure and DEA is useful for busy corporate leaders and financial managers. In contrast, DEA–DA is useful for researchers and individuals who are interested in the detailed assessment of bankruptcy and its failure process in a time horizon.     

聚类分析在品牌市场定位研究中的应用

利用统计技术对顾客感知质量和感知价格进行市场定位可以解决品牌市场定位中存在的一些问题。文章利用系统和迭代聚类分析对中国耐用消费品进行了市场定位实证研究,利用方差分析和交叉列表分析检验聚类的有效性并获得聚类的特性,利用多重对应分析进一步研究类别特征。结果显示,聚类具有有效性,中国耐用消费品品牌定位呈现十字型。最后文章提出一种市场定位研究的组合统计技术。     

The U.S. Navy explores detailing cost reduction via Data Envelopment Analysis

In this paper we show how a variation of Data Envelopment Analysis, the Generalized Symmetric Weight Assignment Technique, is used to assign sailors to jobs for the U.S. Navy. This method differs from others as the assignment is a multi-objective problem where the importance of each objective, called a metric, is determined by the decision-maker and promoted within the assignment problem. We explore how the method performs as the importance of particular metrics increases. Finally, we show that the proposed method leads to substantial cost savings for the U.S. Navy without degrading the resulting assignments’ performance on other metrics.     

Idempotent Functional Analysis: An Algebraic Approach

This paper is devoted to Idempotent Functional Analysis, which is an abstract version of Idempotent Analysis developed by V. P. Maslov and his collaborators. We give a brief survey of the basic ideas of Idempotent Analysis. The correspondence between concepts and theorems of traditional Functional Analysis and its idempotent version is discussed in the spirit of N. Bohr's correspondence principle in quantum theory. We present an algebraic approach to Idempotent Functional Analysis. Basic notions and results are formulated in algebraic terms; the essential point is that the operation of idempotent addition can be defined for arbitrary infinite sets of summands. We study idempotent analogs of the basic principles of linear functional analysis and results on the general form of a linear functional and scalar products in idempotent spaces.     

数学建模在多元统计分析教学中的应用

本利用数学建模的思想对多元统计分析特别是主成分分析方法的教学进行改革，通过使用统计软件SPSS进行计算和分析，使学生对十分抽象的统计概念和深奥的多元统计理论有直现的认识和理解，为掌握多元统计分析方法提供了较好的手段。     

Robust multi-criteria ranking with additive value models and holistic pair-wise preference statements

We consider a problem of ranking alternatives based on their deterministic performance evaluations on multiple criteria. We apply additive value theory and assume the Decision Maker’s (DM) preferences to be representable with general additive monotone value functions. The DM provides indirect preference information in form of pair-wise comparisons of reference alternatives, and we use this to derive the set of compatible value functions. Then, this set is analyzed to describe (1) the possible and necessary preference relations, (2) probabilities of the possible relations, (3) ranges of ranks the alternatives may obtain, and (4) the distributions of these ranks. Our work combines previous results from Robust Ordinal Regression, Extreme Ranking Analysis and Stochastic Multicriteria Acceptability Analysis under a unified decision support framework. We show how the four different results complement each other, discuss extensions of the main proposal, and demonstrate practical use of the approach by considering a problem of ranking 20 European countries in terms of 4 criteria reflecting the quality of their universities.