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。     

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。     

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     

论文学理论中命名的意义和合法性

命名是文学理论阐释过程的一个重要环节,也是文学理论工作者必须正确认识和认真把握的一项内容。命名不仅要具有认知功能,还要具有价值功能,并在此基础上寻求自身的合法性。     

论政府的经济职能

政府的经济职能随经济社会发展而变化,不同时期不同经济体制下政府的经济职能不同,本文论述了政府经济职能的演变过程,分析了市场经济发达国家与我国政府经济职能的差异性,最后从理论上阐明了当前我国政府在经济发展、环境保护中应发挥的经济职能。     

Adaptive tests of regression functions via multiscale generalized likelihood ratios

Many applications of nonparametric tests based on curve estimation involve selecting a smoothing parameter. The author proposes an adaptive test that combines several generalized likelihood ratio tests in order to get power performance nearly equal to whichever of the component tests is best. She derives the asymptotic joint distribution of the component tests and that of the proposed test under the null hypothesis. She also develops a simple method of selecting the smoothing parameters for the proposed test and presents two approximate methods for obtaining its P‐value. Finally, she evaluates the proposed test through simulations and illustrates its application to a set of real data.     

二元方程式F(x,y)=0确定的函数曲线渐近线的探讨

给出二元方程式F(x,y)=0确定的函数曲线渐近线的几个结果。     

试论英语教学中教师的主导作用

本文从道德教育、文化传播、知识传授和能力培养等四个方面论述了在英语教学中教师的主导作用,阐述了英语教学中教师主导作用的重要性。     

论政府在社会主义市场经济中的职能定位问题

政府在社会主义市场经济中如何定位一直是理论界争论的焦点之一。通过对市场与政府的关系分析,指出在中国市场和政府结合的最佳途径是以市场为基础,将政府职能转化为以建设公共服务型为重点。