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.     

论政治冲突的功能

政治冲突的功能理论是政治冲突与整合理论的重要组成部分。由于目前对政治冲突与整合理论的研究非常少,所以作为它的重要组成部分的功能理论研究更为鲜见。本文在历史与逻辑相统一的理论框架下,结合前人的相关论述,特别是重点围绕马克思与L·科塞的观点,对政治冲突的功能:负功能和正功能进行了比较系统地分析。     

正确坚持新闻指导性原则

社会主义市场经济条件下 ,作为党、政府和人民的耳目喉舌的新闻媒体 ,仍然必须牢牢坚持新闻指导性原则 ,这是由我国无产阶级新闻事业的基本性质所决定的 ,是新形势下广大受众政治、经济生活的迫切需要。为了不断增强指导效果 ,新闻媒体当前主要应从以下几方面改进指导方法 :改变指挥命令的做法 ,在服务中增强指导性 ;力戒图解政策 ,通过深入实际、反映实际增强指导性 ;防止片面性、简单化 ,以客观、全面、辩证的方法增强指导性     

Using local linear kernel smoothers to test the lack of fit of nonlinear regression models

Herein, we propose a data-driven test that assesses the lack of fit of nonlinear regression models. The comparison of local linear kernel and parametric fits is the basis of this test, and specific boundary-corrected kernels are not needed at the boundary when local linear fitting is used. Under the parametric null model, the asymptotically optimal bandwidth can be used for bandwidth selection. This selection method leads to the data-driven test that has a limiting normal distribution under the null hypothesis and is consistent against any fixed alternative. The finite-sample property of the proposed data-driven test is illustrated, and the power of the test is compared with that of some existing tests via simulation studies. We illustrate the practicality of the proposed test by using two data sets.     

Kernel Estimation of Rate Function for Recurrent Event Data

Abstract.  Recurrent event data are largely characterized by the rate function but smoothing techniques for estimating the rate function have never been rigorously developed or studied in statistical literature. This paper considers the moment and least squares methods for estimating the rate function from recurrent event data. With an independent censoring assumption on the recurrent event process, we study statistical properties of the proposed estimators and propose bootstrap procedures for the bandwidth selection and for the approximation of confidence intervals in the estimation of the occurrence rate function. It is identified that the moment method without resmoothing via a smaller bandwidth will produce a curve with nicks occurring at the censoring times, whereas there is no such problem with the least squares method. Furthermore, the asymptotic variance of the least squares estimator is shown to be smaller under regularity conditions. However, in the implementation of the bootstrap procedures, the moment method is computationally more efficient than the least squares method because the former approach uses condensed bootstrap data. The performance of the proposed procedures is studied through Monte Carlo simulations and an epidemiological example on intravenous drug users.     

模糊技术在高校教学评估中的研究

研究了高校教学评估中知识的模糊关系及权重问题,讨论在有关模糊隶属函数计算方法的基础上,将模糊技术应用在教学评估中,为教学评估的研究提供一条新的途径。     

论全景画

全景画是人类文明发展史进入一定阶段的产物,它具有较高的艺术价值,属于美术范畴,并与建筑高度结合的一种独特的艺术作品。文章着重论述了全景画从始至今的发展及中国全景画的现状和未来。     

日语中的委婉表现及其语用功能

日语里有很多委婉的表现形式 ,如改换词语、以表喻里的暗喻法、模糊语、省略、正话反说、反话正说、借用其他词语等等。不同的表现形式包含有不同的语用功能。采用这些委婉的表现形式 ,其目的都是为了最终达到理想的交际效果。     

Estimation of location extremes within general families of scale mixtures

In this paper, we study the estimation of the minimum and maximum location parameters, respectively, representing the minimum guaranteed lifetime of series and parallel systems of components, within a general class of scale mixtures. The conditional or underlying distribution has only the primary restriction of being a location-scale family with positive support. The mixing distribution is also quite general in that we only assume that it has positive support and finite second moment. For demonstrative purposes several special cases are highlighted such as the gamma, inverse-Gaussian, and discrete mixture. Various estimators, including bootstrap bias corrected estimators, are compared with respect to both mean-squared-error and Pitman's measure of closeness.     

浅谈中小学合唱教学

本文通过对童声合唱艺术的重要性与训练中若干技术问题的分析 ,结合我国中小学音乐教育的实际状况而进行思考 ,认为在我国中小学音乐教育中 ,合唱教学应该占据与其地位相适应的位置 ;在合唱教学的具体实施中 ,要让中小学学生在曲目上有多样性的选择空间 ,以适应其生理与心理特点 ;学生所学的音乐知识应在合唱训练中得到全面的实践 ,从而使学生的艺术修养得到全面提升