Convexity-based clustering criteria: theory,algorithms, and applications in statistics

This paper deals with the construction of optimum partitions of for a clustering criterion which is based on a convex function of the class centroids as a generalization of the classical SSQ clustering criterion for n data points. We formulate a dual optimality problem involving two sets of variables and derive a maximum-support-plane (MSP) algorithm for constructing a (sub-)optimum partition as a generalized k-means algorithm. We present various modifications of the basic criterion and describe the corresponding MSP algorithm. It is shown that the method can also be used for solving optimality problems in classical statistics (maximizing Csiszárs -divergence) and for simultaneous classification of the rows and columns of a contingency table.     

Parametric Modeling for Survival with Competing Risks and Masked Failure Causes

We consider a life testing situation in which systems are subject to failure from independent competing risks. Following a failure, immediate (stage-1) procedures are used in an attempt to reach a definitive diagnosis. If these procedures fail to result in a diagnosis, this phenomenon is called masking. Stage-2 procedures, such as failure analysis or autopsy, provide definitive diagnosis for a sample of the masked cases. We show how stage-1 and stage-2 information can be combined to provide statistical inference about (a) survival functions of the individual risks, (b) the proportions of failures associated with individual risks and (c) probability, for a specified masked case, that each of the masked competing risks is responsible for the failure. Our development is based on parametric distributional assumptions and the special case for which the failure times for the competing risks have a Weibull distribution is discussed in detail.     

王力主编《古代汉语》(1998年校订重排本)第三、四册文选注释辨正

"文选"是王力主编的《古代汉语》三大内容中的纲领性部分(另两大部分是"常用词"、"通论")。总体说来,此部分的注释经近四十年的多次修订,特别是1998年的校订重排,比前更准确、精到,但仍有些须再修改、完善之处。本文就其第三、四册的文选注释,提三十五条修正意见,供编注者、读者参考。     

A study on cyclic bandwidth sum

Suppose G is a graph of p vertices. A proper labeling f of G is a one-to-one mapping f:V(G)→{1,2,…,p}. The cyclic bandwidth sum of G with respect to f is defined by CBS _f (G)=∑ _uv∈E(G)|f(v)−f(u)| _p , where |x| _p =min {|x|,p−|x|}. The cyclic bandwidth sum of G is defined by CBS(G)=min {CBS _f (G): f is a proper labeling of G}. The bandwidth sum of G with respect to f is defined by BS _f (G)=∑ _uv∈E(G)|f(v)−f(u)|. The bandwidth sum of G is defined by BS(G)=min {BS _f (G): f is a proper labeling of G}. In this paper, we give a necessary and sufficient condition for BS(G)=CBS(G), and use this to show that BS(T)=CBS(T) when T is a tree. We also find cyclic bandwidth sums of complete bipartite graphs. Dedicated to Professor Frank K. Hwang on the occasion of his 65th birthday. Supported in part by the National Science Council under grants NSC91-2115-M-156-001.     

复合电子发光薄膜中非晶二氧化硅层的电流密度计算

给出了一个用来计算复合电子发光薄膜中非晶二氧化硅层的电流密度的动力学模型 ,利用此模型和蒙特卡洛模拟 ,可以得到电子在不同的电场下通过非晶二氧化硅层时所需要的时间 ,然后给出了一些参数的经验值 ,计算得到了与实验基本相一致的理论结果。     

电子商务参与下的交易信用

世界经济迅速全球化、电子商务也得到了迅猛发展，全球和地区的商业合作已经成为各行业经营和管理的方式。不管在合作还是交易中交易信用的作用和需求都非常突出地显现出来了，作者通过对于国内外交易信用的调查，总结出国内信用体系建设的必要性、层次和方法以及应该注意的一些问题。     

2,3──二氨基吩嗪光谱特性研究及应用

研究了各种介质中不同酸度对2，3──二氨基吩嗪（DAP）的光谱特性的影响，发现非离子表面活性剂以及极性有机溶剂对其荧光具有强烈的增敏作用，荧光量子产率大大提高，而且强极性有机溶剂在无水环境下，对其荧光增敏比非离子表面活性剂更强。建立了有机介质和非离子表面活性剂介质荧光增敏的测定方法，并对各种介质增敏机理进行了讨论。     

基于J2EE的第三方物流管理信息系统分析与设计

分析了第三方物流的业务流程特点和系统需求,介绍了J2EE平台的基本知识和框架特点,并结合某物流公司的物流信息平台建设,探讨了基于J2EE平台的第三方物流管理信息系统的组织结构与设计技术.     

基于J2EE的第三方物流管理信息系统分析与设计

分析了第三方物流的业务流程特点和系统需求,介绍了J2EE平台的基本知识和框架特点,并结合某物流公司的物流信息平台建设,探讨了基于J2EE平台的第三方物流管理信息系统的组织结构与设计技术.     

基于环境学习曲线的山东省SO2排放及节能减排潜力分析

基于1981—2006年的数据对山东省SO2排放的规律进行研究，得到山东省SO2排放的环境学习曲线。应用这一曲线，定量分析山东省17个地级市减少SO2排放的潜力，并结合2006年各市的万元GDP能耗情况，对它们的节能减排潜力进行综合评价。