Optimal designs for generalized linear models

Summary This paper solves some D-optimal design problems for certain Generalized Linear Models where the mean depends on two parameters and two explanatory variables. In all of the cases considered the support point of the optimal designs are found to be independent of the unknown parameters. While in some cases the optimal design measures are given by two points with equal weights, in others the support is given by three point with weights depending on the unknown parameters, hence the designs are locally optimal in general. Empirical results on the efficiency of the locally optimal designs are also given. Some of the designs found can also be used for planning D-optimal experiments for the normal linear model, where the mean must be positive. This research was carried out in part at University College, London as an M.Sc. project. Thanks are due to Prof. I. Ford (University of Glasgow) and Prof. A. Giovagnoli (University of Perugia) for their valuable suggestions and critical observations.     

等效法在物理教学中应用规律的探讨

本文研究了等效法在中学物理教学中的应用，并结合一些具体实例进行了分析，对中学物理教学有一定指导意义。     

论应收账款的全程控制

随着市场经济的完善和发展,面对激烈的竞争,为了稳定销售渠道、扩大产品销路、减少存货．企业间相互提供商业信用的情况与日俱增。主要探讨了企业如何对应收账款实行事前、事中和事后的全过程控制,制定合理的信用政策来加强应收账款的管理,加速应收账款回笼,减少坏账,确保企业经营利润的最终实现。     

基于规则的客户关系管理系统建模方法

客户关系管理系统(CRM)是提高企业核心竞争力的有力武器。以工作流和过程建模技术为基础,研究CRM系统的建模,是CRM系统的建立和顺畅运行的关键。因此,将动态过程建模的思想引入CRM系统的建模过程中,按照逐层分解的建模方式来简化系统的复杂性,并采用事件驱动的、基于扩展业务规则的方法进行CRM系统的过程建模和系统性能评价,是针对CRM系统进行建模的有效手段。通过以上方法,可以建立出全面支持CRM系统运行、监控、仿真和性能评价的过程模型。根据该方法建立的CRM系统的模型经过仿真实验和企业实际应用,证明具有良好的应用效果。     

基于层次分析法与模糊评价的学科水平评估

在学科建设中,学科水平评估可以采用专家咨询的方法,分别从学术队伍、科学研究、教学与人才培养和工作条件四个方面设计学科水平评估指标体系,运用层次分析法确定指标权重系数,针对评估指标的模糊性,建立学科水平评估模糊综合评价模型,并通过实例分析和计算,证明该学科水平评估体系合理、有效、可行。     

Semiparametric linear transformation models for current status data

Current status data arise when the death of every subject in a study cannot be determined precisely, but is known only to have occurred before or after a random monitoring time. The authors discuss the analysis of such data under semiparametric linear transformation models for which they propose a general inference procedure based on estimating functions. They determine the properties of the estimates they propose for the regression parameters of the model and illustrate their technique using tumorigenicity data.     

一类变系数高阶线性齐次微分方程解的探求(英文)

本文对系数全为多项式和广义多项式的n阶线性齐次微分方程引入特征方程的概念。给出了具有指数型解的充要条件，推广了经典的常系数线性方程和著名的Euler方程的的解法，为求解变系数线性微分方程提供了有效的方法。     

共青团围绕党的中心任务而奋斗的百年历程及基本经验

作为党的助手和后备军,中国共产主义青年团紧跟党的步伐,围绕党的中心任务,走过了百年辉煌历程。百年来,共青团坚持党的领导,将党领导团正确的方针政策落到实处;坚持改革,不断增强团围绕党的中心任务而奋斗的能力;教育引导青年,重视青年在革命、建设、改革中的作用,在新民主主义革命时期、社会主义革命和建设时期、改革开放和社会主义现代化建设时期、新时代中国特色社会主义建设时期都作出了重要贡献。未来建设中,共青团要不断突出政治性,增强先进性,保持群众性,巩固、夯实、筑牢其围绕党的中心任务而奋斗的领导基础、政治基础和青年群众基础。     

Dynamic reliability models with conditional proportional hazards

A dynamic approach to the stochastic modelling of reliability systems is further explored. This modelling approach is particularly appropriate for load-sharing, software reliability, and multivariate failure-time models, where component failure characteristics are affected by their degree of use, amount of load, or extent of stresses experienced. This approach incorporates the intuitive notion that when a set of components in a coherent system fail at a certain time, there is a jump from one structure function to another which governs the residual lifetimes of the remaining functioning components, and since the component lifetimes are intrinsically affected by the structure function which they constitute, then at such a failure time there should also be a jump in the stochastic structure of the lifetimes of the remaining components. For such dynamically-modelled systems, the stochastic characteristics of their jump times are studied. These properties of the jump times allow us to obtain the properties of the lifetime of the system. In particular, for a Markov dynamic model, specific expressions for the exact distribution functions of the jump times are obtained for a general coherent system, a parallel system, and a series-parallel system. We derive a new family of distribution functions which describes the distributions of the jump times for a dynamically-modelled system.     

二维变系数线性微分系统的求解定理

给出二维变系数线性微分系统在已知某解的情形下求通解的公式,并直接应用此公式,导出几类二维变系数线性微分系统的通解公式.对理论和实际应用都是有益的.