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.     

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。     

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     

An alternative to farmer age as an indicator of life-cycle stage: The case for a farm family age index

In studies of farming, the age of the principal decision-maker (PDM) has been associated with numerous farm structural and managerial features and has been widely accepted as a good indicator of the influence of life-cycle factors on decision-making. As such, it has become an important aspect of many quantitative studies of agricultural change. However, contemporary studies of family farming demonstrate that the concept of a single PDM in family farms is becoming an anachronism as alternative enterprises, pluriactivity and the scale of family farms force more diffuse management/operating systems. This raises questions concerning whether the age of the PDM can still be taken as representative of farm structure, strategy or life-cycle stage? Using a study conducted in the Grampian Mountains region of Scotland in 2003 this note investigates the impact of using an alternative index—compiled by averaging the age of family members working on the farm. It suggests that PDM age is a relatively poor indicator of farm structural and managerial features compared to a family age index and calls for researchers to think about alternative approaches to measuring ‘age’ as an indicator.     

福建省新型工业化基础评价与比较分析

我们建立一套能够比较全面地反映一个地区新型工业化基础的评价指标体系,利用2002、2003年的统计数据,运用主成分分析法对包括福建省在内的我国26个省、市、自治区的新型工业化基础进行评价,从信息化程度、工业化程度、科技含量、经济效益、可持续发展等方面将福建省与其他省市进行比较分析,明确福建省的优势与不足,在此基础上提出福建省在推进新型工业化进程中应注意的问题。     

Principal curves revisited

A principal curve (Hastie and Stuetzle, 1989) is a smooth curve passing through the middle of a distribution or data cloud, and is a generalization of linear principal components. We give an alternative definition of a principal curve, based on a mixture model. Estimation is carried out through an EM algorithm. Some comparisons are made to the Hastie-Stuetzle definition.     

穗重型杂交中稻冈优501产量构成分析

通过对冈优501五年16个试点的主要产量性状及产量的分析表明：有效穗与产量、着粒数、实粒数、千粒重呈负相关关系。尤其与着粒数、实粒数高度负相关,穗数与粒数矛盾突出。粒数、粒重与产量呈正相关关系。适当控制群体,促进个体发育,有利于发挥穗重型品种多花多实的产量潜能。     

An algorithm for computing principal points with respect to a loss function in the unidimensional case

In Flury (1990) the k principal points of a random vector X are defned as the points p(1),..., p(k) minimizing EX–p(i)²; i=1,..., k. We extend this concept to that of k principal points with respect to a loss function L, and present an algorithm for their computation in the univariate case.