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.     

五点“希望”是大学生成长的方向

理想远大和热爱祖国、追求真理和勇于创新、德才兼备和全面发展、视野开阔和胸怀宽广、知行统一和脚踏实地是 2 1世纪大学生成长的方向。     

指数级数的增长性和值分布

本文研究了随机狄里克莱级数 在随机变量序列{Xn}独立（可不同分布）以及满足等条件时的增长性以及值分布,得到了一些新的结果.     

拓展民间投资 促进经济增长

通过对民间投资的基本内涵以及民间投资的基本现状的分析 ,提出了拓展民间投资的基本对策 ,以促进经济增长     

成长体验的女性言说——从《乌鸦之歌》、《怀念声名狼藉的日子》看池莉性别创作立场的位移

在当代文学中 ,池莉惯以“非女性化”写作而著称 ,但她的两篇近作《乌鸦之歌》、《怀念声名狼藉的日子》却显示着作者向“女性写作”的转变。文章从这两篇小说的女性叙述立场、女性成长的叙述话语和作品的审美风格等方面阐述女作家性别创作立场的位移     

增长曲线模型非齐次线性估计的可容许性

讨论增长曲线模型Y =X1BX2 +ε中回归矩阵B的函数C1BC2 的估计L1YL2 +A ,在矩阵损失 (LT2 L1)Y +A - (ST2 XT2 S1X1)B (LT2 L1)Y +A - (ST2 XT2 S1X1)B T 下 ,我们得到了非齐次线性估计L1YL2 +A在非齐次线性估计类Г ={L1YL2 +A|L1:t×p ,L2 ;n×n ,A :t×s均为已知实阵 }中可容许的充要条件 :L1YL2在Г0 ={L1YL2 |L1:t×p ,L2 :n×s均为已知实阵 }中容许且当LT2 XT2 L1X1=ST2 XT2 S1X1时有A =0。     

反思性实践：校长专业成长的重要途径

校长专业成长已经成为教育领域中人们关注的焦点。反思性实践是校长专业成长的重要途径。批判反思又是反思性实践的重要策略。本文内容包括反思性实践的概念、策略以及批判反思与校长专业成长的关系。     

FDI的工资效应研究——基于江苏省制造业面板数据的分析

利用江苏省制造业2000--2006年的面板数据，从行业角度分析FDI对于江苏省制造业平均工资以及国有企业工资的影响，结果表明外资企业的进入可以通过提高整体的劳动生产率水平从而间接提高整体平均工资水平；劳动力工资与加工贸易的开放程度之间呈正相关关系，而与行业规模大小呈负相关．外资对于国有企业劳动力工资存在正的工资溢出，但是国内资本对于劳动力工资水平的影响与外商直接投资相比相差不大，甚至可以超过外商直接投资的贡献。     

A Risk-Based Method for Modeling Traffic Fatalities

We describe a risk-based analytical framework for estimating traffic fatalities that combines the probability of a crash and the probability of fatality in the event of a crash. As an illustrative application, we use the methodology to explore the role of vehicle mix and vehicle prevalence on long-run fatality trends for a range of transportation growth scenarios that may be relevant to developing societies. We assume crash rates between different road users are proportional to their roadway use and estimate case fatality ratios (CFRs) for the different vehicle-vehicle and vehicle-pedestrian combinations. We find that in the absence of road safety interventions, the historical trend of initially rising and then falling fatalities observed in industrialized nations occurred only if motorization was through car ownership. In all other cases studied (scenarios dominated by scooter use, bus use, and mixed use), traffic fatalities rose monotonically. Fatalities per vehicle had a falling trend similar to that observed in historical data from industrialized nations. Regional adaptations of the model validated with local data can be used to evaluate the impacts of transportation planning and safety interventions, such as helmets, seat belts, and enforcement of traffic laws, on traffic fatalities.     

“合理经济增长率”的消解——一个经济伦理的视角

经济增长极限的仍然存在，说明任何一具体的经济增长率都是通向极限的阶梯。代际关系上的经济增长率的合理性过份依赖于技术乐观主义，人与自然关系中的经济增长率的合理性只是形而上的玄想，代内关系的经济增长率的合理性只能衍生于单一的效率价值取向。这说明合理的经济增长率在经济伦理的应有视角里是虚幻的。人类必须在人口、科技、经济、政治和社会等制度结构方面建立起与可持续发展和生态文明相适应的经济伦理观。