Multivariate bandwidth selection for local linear regression

The existence and properties of optimal bandwidths for multivariate local linear regression are established, using either a scalar bandwidth for all regressors or a diagonal bandwidth vector that has a different bandwidth for each regressor. Both involve functionals of the derivatives of the unknown multivariate regression function. Estimating these functionals is difficult primarily because they contain multivariate derivatives. In this paper, an estimator of the multivariate second derivative is obtained via local cubic regression with most cross-terms left out. This estimator has the optimal rate of convergence but is simpler and uses much less computing time than the full local estimator. Using this as a pilot estimator, we obtain plug-in formulae for the optimal bandwidth, both scalar and diagonal, for multivariate local linear regression. As a simpler alternative, we also provide rule-of-thumb bandwidth selectors. All these bandwidths have satisfactory performance in our simulation study.     

Multiple roots of estimating functions

Estimating functions can have multiple roots. In such cases, the statistician must choose among the roots to estimate the parameter. Standard asymptotic theory shows that in a wide variety of cases, there exists a unique consistent root, and that this root will lie asymptotically close to other consistent (possibly inefficient) estimators for the parameter. For this reason, attention has largely focused on the problem of selecting this root and determining its approximate asymptotic distribution. In this paper, however, we concentrate on the exact distribution of the roots as a random set. In particular, we propose the use of higher-order root intensity functions as a tool for examining the properties of the roots and determining their most problematic features. The use of root intensity functions of first and second order is illustrated by application to the score function for the Cauchy location model.     

晋西三川河流域的地表组成物质及其与土壤侵蚀的关系

地表组成物质是影响三川河流域土壤侵蚀及滑坡发育的重要因素。本文在分析该流域的地表组成物质的类型、性质及分布规律的基础上,探讨了地表组成物质与土侵馒蚀的关系。     

综合业务CATV网络

本文提出了一种宽带分布式网络设计,该网络能在CATV电缆上同时进行数据、实时数字话音及模拟电视通信。本系统能支持大量用户间的通信。由于采用了宽带技术和总线网令牌与CSMA/CD的混合协议,从而解决了局域网所面临的距离和时延问题。本文最后对所提出网络的话音性能作了评估,所得结果与相关试验报导数据相符。     

激光反射式光电水位测量仪

本文介绍一种以激光作为测量光源,利用光敏电阻随光线强弱变化而阻值随之变化的特性,控制或门电路工作,并在数字电压表上显示水面高度的测量仪。     

多方发挥物理实验教学的职能作用

当前我国医学教育中物理实验教学存在弱点:对物理教育不重视,实验条件差,仪器、设备陈旧,实验选项过时,实验课时少.针对存在的问题及现状,在现有的条件之内,我们提出了物理实验课的改进措施:认真做好实验准备,发挥教师的主导作用,督查学生亲自动手,利用现有仪器设备,不断改善实验条件,重视教学情况的反馈信息.     

A note on statistical method for genotype calling of high-throughput single-nucleotide polymorphism arrays

We study the genotype calling algorithms for the high-throughput single-nucleotide polymorphism (SNP) arrays. Building upon the novel SNP-robust multi-chip average preprocessing approach and the state-of-the-art corrected robust linear model with Mahalanobis distance (CRLMM) approach for genotype calling, we propose a simple modification to better model and combine the information across multiple SNPs with empirical Bayes modeling, which could often significantly improve the genotype calling of CRLMM. Through applications to the HapMap Trio data set and a non-HapMap test set of high quality SNP chips, we illustrate the competitive performance of the proposed method.     

知识共享对供应链信用风险传染的影响研究

将企业间知识共享这一因素引入供应链上下游企业博弈过程,在完全信息条件下研究三级供应链中零售商分别与分销商、制造商进行知识共享时知识共享量与企业信用风险水平和供应链信用风险传染强度之间的关系,并结合算例进行了数值分析.基于Stackelberg博弈模型的研究结果表明,供应链上的知识共享有助于降低供应链成员企业的信用风险;进行知识共享的企业间信用风险传染强度随着知识共享量的增加而增大;企业进行知识共享比不进行知识共享时受到其它企业信用风险传染的影响大.     

网络舆论倾向性的动态跟踪方法及实证研究

从统计学视角审视网络舆论倾向性的监测问题,提出了以粗糙分类器为基础建立舆论倾向性分类模型,将复杂的预警指标体系简化为单一直观的跟踪统计量,并通过跟踪统计量动态跟踪舆论倾向性变化轨迹的研究方法。实证研究以2011年郭美美事件相关新闻跟帖为对象。分析表明,网络舆论的消极倾向性在整个事件发展过程中呈持续增长,与基本事实相符,证实了方法的可行性和适用性。     

Semiparametric inference on the absolute risk reduction and the restricted mean survival difference

For time-to-event data, when the hazards are non-proportional, in addition to the hazard ratio, the absolute risk reduction and the restricted mean survival difference can be used to describe the time-dependent treatment effect. The absolute risk reduction measures the direct impact of the treatment on event rate or survival, and the restricted mean survival difference provides a way to evaluate the cumulative treatment effect. However, in the literature, available methods are limited for flexibly estimating these measures and making inference on them. In this article, point estimates, pointwise confidence intervals and simultaneous confidence bands of the absolute risk reduction and the restricted mean survival difference are established under a semiparametric model that can be used in a sufficiently wide range of applications. These methods are motivated by and illustrated for data from the Women’s Health Initiative estrogen plus progestin clinical trial.