On asymptotic distribution of prediction in functional linear regression

There has been substantial recent attention on problems involving a functional linear regression model with scalar response. Among them, there have been few works dealing with asymptotic distribution of prediction in functional linear regression models. In recent literature, the centeral limit theorem for prediction has been discussed, but the proof and conditions under which the random bias terms for a fixed predictor converge to zero have been ignored so that the impact of these terms on the convergence of the prediction has not been well understood. Clarifying the proof and conditions under which the bias terms converge to zero, we show that the asymptotic distribution of the prediction is normal. Furthermore, we have derived those results related to other terms that already obtained by others, under milder conditions. Finally, we conduct a simulation study to investigate performance of the asymptotic distribution under various parameter settings.     

Functional Partial Linear Single‐index Model

This paper deals with the problem of predicting the real‐valued response variable using explanatory variables containing both multivariate random variable and random curve. The proposed functional partial linear single‐index model treats the multivariate random variable as linear part and the random curve as functional single‐index part, respectively. To estimate the non‐parametric link function, the functional single‐index and the parameters in the linear part, a two‐stage estimation procedure is proposed. Compared with existing semi‐parametric methods, the proposed approach requires no initial estimation and iteration. Asymptotical properties are established for both the parameters in the linear part and the functional single‐index. The convergence rate for the non‐parametric link function is also given. In addition, asymptotical normality of the error variance is obtained that facilitates the construction of confidence region and hypothesis testing for the unknown parameter. Numerical experiments including simulation studies and a real‐data analysis are conducted to evaluate the empirical performance of the proposed method.     

An F-type test for detecting departure from monotonicity in a functional linear model

When studying associations between a functional covariate and scalar response using a functional linear model (FLM), scientific knowledge may indicate possible monotonicity of the unknown parameter curve. In this context, we propose an F-type test of monotonicity, based on a full versus reduced nested model structure, where the reduced model with monotonically constrained parameter curve is nested within an unconstrained FLM. For estimation under the unconstrained FLM, we consider two approaches: penalised least-squares and linear mixed model effects estimation. We use a smooth then monotonise approach to estimate the reduced model, within the null space of monotone parameter curves. A bootstrap procedure is used to simulate the null distribution of the test statistic. We present a simulation study of the power of the proposed test, and illustrate the test using data from a head and neck cancer study.     

西部农村中小学生性价值观培育现状及根源分析

在我国西部地区的广大农村,由于各方面条件的限制,西部农村中小学生的性意识成长和性价值观培育方面的系列问题令人担忧。家庭教育、学校教育和社会教育在对中小学生的性价值观培育过程中都存在一定程度的缺失,难以形成有助于中小学生性价值观念培育的良好社会环境。在网络色情的冲击下,中小学生成长中的性道德观被网络色情扭曲和肢解,性道德认知被失控的性乱象颠覆和异化,这些现象主要根源在于性文化的无序性、性道德观的冲突性、性行为的失范性。     

理论观照与实践反思:乡村振兴道路背景下产业融合探究

为从全球性现代化的视野观察中国现代化道路,通过在湖北西部（鄂西南、鄂西北）、渝东南、贵州（六盘水、遵义、黔东北等）等地烟草行业综合体建设进行调查,对城乡融合发展中的产业融合进行综合考察和研究。研究认为,中国的乡村振兴从“战略”提升为“道路”,表明中国式“两条腿走路”的三农现代化道路认知正式成形,乡村振兴道路在本质上讲是“农村就地现代化道路”,以农业为基础的农村就地现代化道路的关键是农村产业的融合发展;走乡村振兴道路,必须坚持政府是“主导”、乡村是“主场”、就地现代化是“主道”、产业融合发展是“主业”、内生发展是“主流”、三农工作队伍是“主体”、城乡等值发展是“主向”,再从土地流转关系、政策法规、主导产业培育、共享经济平台建设等方面,培育和推进乡村振兴中的产业融合工程。     

红军长征博物馆建于四川的原因

红军长征在四川历时最长,活动范围最广,斗争最复杂,创造的奇迹最多。红军在四川进行了卓有成效的地方工作,成立了四个省委,进行了民族政策的初步探索,而且还在大小金川、康区北部成立了两个省级少数民族革命政权。红军在与少数民族相处中,还留下许多佳话。中共中央在四川境内多次召开过关系党和国家命运的政治局会议及其它重要会议。在四川建立红军长征博物馆,可以通过发展红色旅游,重现长征历程,促进四川贫穷地区的经济文化发展。     

宋代江南地区疾疫成因分析

现代医学认为流行病是由各种生物性致病原或称为病原体所引起的一组具有强烈传染性的疾病.而从传统医学角度而言,所谓流行病是指具有温热病性质的急性传染病,属温热病中具有强烈传染性、病情危重凶险并具有大流行特征的一类疾病.在古代文献中,一般称之为疲、疾疲、瘥、札、疠等.宋人也大体承袭了这一提法.通常情况下,疫病与流行病无法确切区分,因此,统称流行病为疾疫或瘟疫.宋代江南地区是流行病的多发区.这大概与江南地区水网密布,气候温湿、人口密集、人员流动频繁、经济较为活跃易于细菌病毒繁殖有关.     

关于统筹城乡社会保障制度建设的两点思考

党的十六届五中全会进一步明确提出“积极推进城乡统筹发展”的战略目标和任务。统筹城乡社会保障制度建设影响着我国全面建设小康社会的进程,关系着“五个统筹”的落实。在实践中要从基本同情出发,充分考虑我国经济的承受能力和历史文化传统,发挥政府的主体作用,体现不同社会群体享受社会保障的差异性。     

新教学模式在非金属专业教学中的设计与应用

本文以多媒体网络教学为研究对象,初步探讨多媒体网络技术辅助教学的基本模式,并据此设计了基于多媒体和互联网技术的非金属专业教学系统,使远程异地教学、在线测试等成为可能,优化了传统教学过程,促进了教学质量,为我们提供一个全新的教学模式。