Hill estimator of projections of functional data on principal components

Functional principal component scores are commonly used to reduce mathematically infinitely dimensional functional data to finite dimensional vectors. In certain applications, most notably in finance, these scores exhibit tail behaviour consistent with the assumption of regular variation. Knowledge of the index of the regular variation, α, is needed to apply methods of extreme value theory. The most commonly used method of the estimation of α is the Hill estimator. We derive conditions under which the Hill estimator computed from the sample scores is consistent for the tail index of the unobservable population scores.     

Still-births among the offspring of male radiation workers at the Sellafield nuclear reprocessing plant: detailed results and statistical aspects

Summary. This study investigates whether there was evidence of increasing risk of still-birth with increasing paternal exposure to ionizing radiation received during employment at the Sellafield nuclear installation before the child was conceived. A significant positive association is found between the total paternal preconceptional exposure to external ionizing radiation and the risk of still-birth (after adjustment for year of birth, social class, birth order and paternal age, odds ratio at 100 mSv 1.24 (95% confidence interval 1.04–1.45)). A summary of the principal scientific findings of this study has been published in the Lancet . This paper describes in detail the statistical methods that were used in the investigation and presents the results in full.     

地区信息化水平的综合评价

本文从信息化的发展入手,阐述了信息化建设及各地区信息化水平评价的重要性,采用多元统计中的主成分分析和主成分回归法,设计一个综合指标用以评估各类地区的信息化水平及其在全国所处的位置,指导各地区的信息化建设。     

基于主成分分析的我国西部地区间产业结构转换能力评价

产业结构的演进和转换是经济发展的本质特征,也是促进经济持续稳定协调发展的关键。西部地区产业结构转换能力的地区差异十分明显,本文阐述了影响地区产业结构转换的一般因素,并通过主成分分析方法对影响西部地区产业结构转换的主要因素进行了分析,并对西部各地区产业结构转换能力、转换速度以及转换方向进行了分析评价。     

Direct and Indirect Causal Effects via Potential Outcomes*

Abstract. The use of the concept of ‘direct’ versus ‘indirect’ causal effects is common, not only in statistics but also in many areas of social and economic sciences. The related terms of ‘biomarkers’ and ‘surrogates’ are common in pharmacological and biomedical sciences. Sometimes this concept is represented by graphical displays of various kinds. The view here is that there is a great deal of imprecise discussion surrounding this topic and, moreover, that the most straightforward way to clarify the situation is by using potential outcomes to define causal effects. In particular, I suggest that the use of principal stratification is key to understanding the meaning of direct and indirect causal effects. A current study of anthrax vaccine will be used to illustrate ideas.     

加强课堂教学质量监控 提高教学质量

加强课堂教学质量监控是提高学校教学质量的重要保证。端正对教学质量监控的认识 ,对其体系组成、工作方法进行研究探索 ,全面推进学生素质教育 ,培养新型人才 ,推动学校教学改革 ,提高教学质量效益有着重要的意义。     

"生态旅游"概念探微

选取国外 44个生态旅游定义作为研究对象 ,通过确认关键词、对关键词进行聚类分析 ,将定义内容归纳为 6大类 11组分 ,进而构建生态旅游概念模型。在检验模型理论上的可靠性和实践上的适应性后 ,依据模型提出自己的生态旅游定义     

浅论教师在多媒体教学中的主体地位

运用现代多媒体教学手段，是实现教育方法现代化的必由之路，但教师在现代多媒体教学中的主体地位是不可替代的，多媒体教学在高等教育教学中发挥的作用如何，主要取决于教师的主体地位。     

三维Minkowski空间中有相等主曲率函数的一类特殊曲面的位置向量场

讨论三维Minkowski空间R2 .1中一类特殊曲面在主曲率函数相等时的情形 ,给出了这类曲面在这一情形下的位置向量场     

基于分数本征特征的手写数字识别

特征提取是手写体数字识别研究中的重要问题,有效、稳定的特征是提高识别率和识别精度的关键。该文提出了一种基于分数本征特征和核非线性分类器的手写数字识别方法,首先找到时频平面的一个轴进行分数傅里叶变换,使不同类别样本在这个轴上最大限度地分开,然后用主元分析进行降维,得到比较稳健的低维特征,再将常用分类器用于特征分类,实现对手写数字的识别。对实际数据进行实验,结果表明上述本征特征与核非线性分类器相结合有较高的识别率和训练、分类效率。