On the asymptotic normality of the L1- and L2-errors in histogram density estimation

The L₁ and L₂-errors of the histogram estimate of a density f from a sample X₁,X₂,…,Xn using a cubic partition are shown to be asymptotically normal without any unnecessary conditions imposed on the density f. The asymptotic variances are shown to depend on f only through the corresponding norm of f. From this follows the asymptotic null distribution of a goodness-of-fit test based on the total variation distance, introduced by Györfi and van der Meulen (1991). This note uses the idea of partial inversion for obtaining characteristic functions of conditional distributions, which goes back at least to Bartlett (1938).     

Generalized partially linear varying-coefficient models

Generalized varying-coefficient models are useful extensions of generalized linear models. They arise naturally when investigating how regression coefficients change over different groups characterized by certain covariates such as age. In this paper, we extend these models to generalized partially linear varying-coefficient models, in which some coefficients are constants and the others are functions of certain covariates. Procedures for estimating the linear and non-parametric parts are developed and their associated statistical properties are studied. The methods proposed are illustrated using some simulations and real data analysis.     

图式理论、学习策略与大学英语口语教学

本研究采用定量分析的方法,对84名天水师范学院非英语专业的学生的口语水平进行测试。根据图式理论,口语任务分为有关键词及句型提示类和无提示类,并对被试的学习策略使用情况做了调查,结果发现,口语任务有提示与无提示对学生的口语成绩有显著影响,这说明图式理论完全适用于大学英语口语教学。     

《论语·学而篇》第十六章新解

《论语·学而篇》第十六章"不患人之不己知,患不知人也",传统的解释是"不着急别人不了解自己,却着急自己不了解别人",这未能切中孔子原意.从论语的不同注本看,更重要的是从孔子和《论语》的一贯精神看,该章应解释为"不要担心别人不了解自己,而应担心自己没有东西让别人了解".     

Estimating ordered parameters by linear programming

There are many models that require the estimation of a set of ordered parameters. For example, multivariate analysis of variance often is formulated as testing for the equality of the parameters versus an ordered alternative. This problem, referred to as isotonic inference, constrained inference, or isotonic regression, has led to the development of general solutions, not often easy to apply in special models. In this expository paper, we study the special case of a separable convex quadratic programming problem for which the optimality conditions lead to a readily solved linear complementarity problem in the Lagrange multipliers, and subsequently to an equivalent linear programming problem, whose solution can be used to recover the solution of the original isotonic problem. The method can be applied to estimating ordered correlations, ordered binomial probabilities, ordered Poisson parameters, ordered exponential scale parameters, or ordered risk differences.     

A graphical summary of disparities in health care and related summary measures

In order to assess the effectiveness of government programs designed to reduce disparities in the health care minority groups receive relative to the majority white population, a proper statistical measure should be used. This article proposes a measure of and its accompanying graph, which is readily interpretable and is not affected by the number of minority subgroups examined.     

Estimating the distribution function using k-tuple ranked set samples

The basic assumption underlying the concept of ranked set sampling is that actual measurement of units is expensive, whereas ranking is cheap. This may not be true in reality in certain cases where ranking may be moderately expensive. In such situations, based on total cost considerations, k-tuple ranked set sampling is known to be a viable alternative, where one selects k units (instead of one) from each ranked set. In this article, we consider estimation of the distribution function based on k-tuple ranked set samples when the cost of selecting and ranking units is not ignorable. We investigate estimation both in the balanced and unbalanced data case. Properties of the estimation procedure in the presence of ranking error are also investigated. Results of simulation studies as well as an application to a real data set are presented to illustrate some of the theoretical findings.     

Nonparametric estimation of the conditional distribution function in a semiparametric censorship model

In this paper we propose a new nonparametric estimator of the conditional distribution function under a semiparametric censorship model. We establish an asymptotic representation of the estimator as a sum of iid random variables, balanced by some kernel weights. This representation is used for obtaining large sample results such as the rate of uniform convergence of the estimator, or its limit distributional law. We prove that the new estimator outperforms the conditional Kaplan–Meier estimator for censored data, in the sense that it exhibits lower asymptotic variance. Illustration through real data analysis is provided.     

考虑环境因素下的上海世博会经济影响评价

通过对环境生态成本的分析，根据上海市2002年的投入产出表，建立了基于资源一经济一环境绿色投入产出表的绿色GDP核算方法。利用这一方法对2010年上海世博会对上海经济一环境影响进行分析研究，结果反映了上海世博会对上海的综合影响。     

社会的可持续发展及其公正实现

社会可持续发展不仅是人类追求的目标,也是人类社会发展繁荣至今的根本所在。但我们在强调发展的同时也大力倡导社会公正的实现,只不过是在目前社会主义初级阶段我们更加提倡能够促进社会经济可持续发展的“公正实现”,这种“公正实现”所带来的可持续发展是以效率的提高为前提的。