The Trigonometry of Matrix Statistics

A matrix trigonometry developed chiefly by this author during the past 40 years has interesting applications to certain situations in statistics. The key conceptual entity in this matrix trigonometry is the matrix (maximal) turning angle. Associated entities (originally so-named by this author) are the matrix antieigenvalues and corresponding antieigenvectors upon which the matrix obtains its critical turning angles. Because this trigonometry is the natural one for linear operators and matrices, it also is the natural one for matrix statistics.     

Excel在岩土勘察指标统计中的应用

为了克服在利用专业勘察软件进行岩土物理力学性质指标进行分层统计时,要让有的数据不参加统计计算时操作不便、统计结果不能立即显示,统计结果如不合适又得重头再来一遍的缺点,将专业勘察软件生成的分层数据导入Excel中,采用Excel方法进行各种指标分层统计计算,形成Excel模板后可多次重复使用,经实际使用,计算过程透明、结果同步显示、数据准确,可在工作中应用。     

新形势下如何做好烟草企业统计管理

目前烟草行业深化改革不断加快,统计管理工作的健全统计制度,深化数据应用,强化统计创新,不断提高统计数据服务发展的能力,都为行业改革发展和"卷烟上水平"提供了有力的数据支撑。     

Duration dependence in US business cycles: An analysis using the modulated power law process

The modulated power law process is used to analyze the duration dependence in US business cycles. The model makes less restricting assumptions than traditional models do and measures both the local and global performance of business cycles. The results indicate evidence of positive duration dependence in the U.S. business cycles. Structural change after WWII in both expansion and contraction phases of business cycles is also documented. Hypothesis tests confirm that the model fits US business cycles.      

Parameter estimation for the drift of a time inhomogeneous jump diffusion process

This work deals with parameter estimation for the drift of jump diffusion processes which are driven by a Lévy process and whose drift term is linear in the parameter. In contrast to the commonly used maximum likelihood estimator, our proposed estimator has the practical advantage that its calculation does not require the evaluation of the continuous part of the sample path. In the important case of an Ornstein‐Uhlenbeck‐type jump diffusion, which is a widely used model, we prove consistency and asymptotic normality.     

Validity of the Statistical Estimation

Conventional statistical methods of the estimation of population parameters are abstract and unreliable because these statistical methods are based on unwarranted assumptions.     

Improving the process of process modelling by the use of domain process patterns

The use of business process models has become prevalent in a wide area of enterprise applications. But while their popularity is expanding, concerns are growing with respect to their proper creation and maintenance. An obvious way to boost the efficiency of creating high-quality business process models would be to reuse relevant parts of existing models. At this point, however, limited support exists to guide process modellers towards the usage of appropriate model content. In this paper, a set of content-oriented patterns is presented, which is extracted from a large set of process models from the order management and manufacturing production domains. The patterns are derived using a newly proposed set of algorithms, which are being discussed in this paper. The authors demonstrate how such Domain Process Patterns, in combination with information on their historic usage, can support process modellers in generating new models. To support the wider dissemination and development of Domain Process Patterns within and beyond the studied domains, an accompanying website has been set up.     

统计课程教学模式改革初探——统计方法在高职院校统计课教学中的应用

通过利用统计方法来进行高职院校统计课程的教学,使统计方法贯穿课程的始终,激发学生学习的兴趣,提高学生的动手能力和教学效果。     

How Students Learn Statistics Revisited: A Current Review of Research on Teaching and Learning Statistics

This paper provides an overview of current research on teaching and learning statistics, summarizing studies that have been conducted by researchers from different disciplines and focused on students at all levels. The review is organized by general research questions addressed, and suggests what can be learned from the results of each of these questions. The implications of the research are described in terms of eight principles for learning statistics from Garfield (1995) which are revisited in the light of results from current studies.     

我国现行群众体育事业统计指标的研究分析

本文运用文献资料法,对我国现行群众体育事业的统计指标进行解读分析,发现统计指标存在体系不够全面、涵盖不够合理和定义不够严格等问题,已不能真实而准确的反映我国群众体育发展的整体状况,无法实现我国群众体育发展资源的优化配置。     

对我国服务业统计指标体系建立架构的思考

服务业统计是经济统计中的重要组成部分,本文从服务业的定义和包括范围入手,提出了建立服务业统计指标体系的依据,并对各服务行业建立统计指标体系时的共同架构进行了探讨。     

A measure of regional influence with the analytic network process

The metropolitan region is commonly defined by a socio-spatial network of urban nodes that are linked in territory and function. Such a network is differentiated by size and dominance of the linked nodes, characterized by physical or virtual flows of a wide-ranging variety. The analytic network process (ANP) is a multi-criteria analytic method that measures the influence or dominance of the nodes in a network with feedback. We illustrate how ANP determines county rank as a measure of influence in a metropolitan statistical area (MSA) defined by its interrelated socio-economic and spatial elements qualitatively and quantitatively. We compare the ANP results to similar measures of regional influence in the literature.     

我国农业调查范围统计及网点问题研究

就当前情况而言,我国越来越依赖于农业统计调查数据信息,这种情况的产生和决策领导高度关注农业问题密不可分,同时还跟中国坚持可持续发展和检验相关政策措施息息相关。我们具体阐述了中国农业开发统计调查范围,并且对怎样依据统计调查收集与农业数据有关的信息进行描述,其中涵盖统计调查机构的演变过程与农业统计调查领域所产生的相关问题研究。以此来说明农业统计调查数据对领导阶层决策的重要性,还对中国统计和抽样调查实施了细致分工。     

基于单片机的接触网激光测距系统的研究与设计

文章基于单片机控制的接触网激光测距系统设计,利用软硬件结合实现对激光测距仪工作状态的手动调试、自动测试及计算。单片机来控制激光测距传感器与角度传感器的采样,并将采样数据自动计算并经由显示告知测试者的一种精度准确、携带方便的接触网几何参数检测系统。基于单片机控制的接触网激光测距仪,具有自动化程度高、成本低、保护完备、控制精度高、携带方便等优点。     

Yield measure for the process with multiple streams

Process capability indices, such as C _pk , have been widely used in the manufacturing industry to provide common quantitative measures for process performance. The index C _pk only provides an approximate rather than an exact measure of the process yield. To obtain an exact measure of the process yield, Boyles proposed a yield index S _pk . Capability measures for processes with single stream have been investigated extensively; however, multiple streams processes often occur in practice. Bothe presented a capability index for multiple streams process. In the present paper, a new index that is able to provide an exact measure of yield for a multiple streams process is developed. Three examples are given for illustration. From the results of the yield measure in the three examples, the conventional approach, using the arithmetic average of the estimated yield indices of all streams, will certainly over-estimate the process yield.     

Random Sets: Models and Statistics

This paper surveys aspects of the theory of random closed sets, focussing on issues of practical and current interest. First, some historical remarks on this part of probability theory are made, where the important role of Georges Matheron is emphasized. Then, fundamental characteristics of the distribution of random closed sets are introduced. The very important Boolean model serves as an example for discussing mathematical and statistical problems. A number of further models is then considered, namely excursion sets of random fields, the system of edges of the Poisson Voronoi tessellation and various random systems of non-overlapping spheres. Finally, some ideas of particle statistics are presented, including some models of random compact sets.     

Estimation Methods and Related Systems at Statistics Canada

This paper provides an overview of research in estimation techniques, their application, and the development of generalized estimation systems at Statistics Canada. In Canada, the demand for more detailed and better quality cross-sectional data related to various sodo-economic issues has increased significantly in recent years. Also, there has been increasing interest in longitudinal data to better understand and interpret the relationships among variables, necessitating the implementation of a number of large scale panel surveys by Statistics Canada. The paper briefly discusses estimation for longitudinal data and a weighting approach developed for cross-sectional data Prom these surveys. For cross-sectional household and business surveys, as well as the census of population, appropriate dibration estimators developed for each situation are briefly discussed. In addition, regression composite estimation, a method developed to improve the quality of cross-sectional estimates from rotating panel surveys such as the Canadian Labour Force Survey, is presented. With regard to more detailed cross-sectional estimates at sub-provincial levels, different approaches to small area estimation developed for various programs are also presented. We SUmmarize the various modules developed lor the GeneraIiized Ektimation System. important new developments within the system include two-phase estimation as well as the estimation of variance for a number of imputation procedures. We briefly review the status of current estimation research on selected topics as well as the direction of future research.     

Variance stabilizing and normalizing transformations for the compound poisson process

Summary Two parametric sets of normalizing transformations for the compound Poisson process are considered. The transformations in the first set are also variance stabilizing, and the optimum variance stabilizing transformation and an optimum normalizing transformation in this set are determined. The second set consists of power transformations, and an optimum normalizing transformation is obtained. Some comparisons with respect to normalization are made between these optimum transformations. The work of this author was performed while he was a visitor at the Department of Statistics, State University of New York at Buffalo.     

Multicriteria framework for selecting a process modelling language

The choice of process modelling language can affect business process management (BPM) since each modelling language shows different features of a given process and may limit the ways in which a process can be described and analysed. However, choosing the appropriate modelling language for process modelling has become a difficult task because of the availability of a large number modelling languages and also due to the lack of guidelines on evaluating, and comparing languages so as to assist in selecting the most appropriate one. This paper proposes a framework for selecting a modelling language in accordance with the purposes of modelling. This framework is based on the semiotic quality framework (SEQUAL) for evaluating process modelling languages and a multicriteria decision aid (MCDA) approach in order to select the most appropriate language for BPM. This study does not attempt to set out new forms of assessment and evaluation criteria, but does attempt to demonstrate how two existing approaches can be combined so as to solve the problem of selection of modelling language. The framework is described in this paper and then demonstrated by means of an example. Finally, the advantages and disadvantages of using SEQUAL and MCDA in an integrated manner are discussed.     

数字化电厂MOD统计管理子系统分析

现阶段统计管理工作不仅是对电厂内部生产经营情况进行加工整理,还能实现统计的三大职能,系统通过引入实时数据进行分析,并通过科学的分析方法,为各级管理部门提供经济决策。