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.     

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。     

Almost Consistent Estimation of Panel Probit Models with “Small” Fixed Effects

We propose four different GMM estimators that allow almost consistent estimation of the structural parameters of panel probit models with fixed effects for the case of small Tand large N. The moments used are derived for each period from a first order approximation of the mean of the dependent variable conditional on explanatory variables and on the fixed effect. The estimators differ w.r.t. the choice of instruments and whether they use trimming to reduce the bias or not. In a Monte Carlo study, we compare these estimators with pooled probit and conditional logit estimators for different data generating processes. The results show that the proposed estimators outperform these competitors in several situations.     

具有Virasoro型的无穷维对称代数的群不变模型

本文利用Virasoro型的对称代数的两种具体的实现获得了各种2 1维具有无穷维Kac-Moody-Virasoro型李代数的不变方程。一些熟知的高维可积模型例如KP方程也被给出。     

工程制图课程体系和教学方法改革的思路与实践

在阐述工程制图课程重要和特殊地位的基础上 ,概括指出了目前我国工程制图课程改革的三种教学模式 ,并列举了国外部分院校课程改革的实例 ,总结出教改共识。在明确课程改革基本思想的前提下 ,具体提出课程改革的总体思路和实践过程 :整合课程内容 ,形成新的课程体系 ,构建基础平台 ;改革教学手段 ,更新教学方法 ,保证教学质量 ,提高教学效率     

A note on LeCam’s bound for the distance between the Poisson binomial and the Poisson distribution

n possibly different success probabilities p ₁, p ₂, ..., p _n is frequently approximated by a Poisson distribution with parameter λ = p ₁ + p ₂ + ... + p _n . LeCam's bound p ² ₁ + p ² ₂ + ... + p _n ² for the total variation distance between both distributions is particularly useful provided the success probabilities are small. The paper presents an improved version of LeCam's bound if a generalized d-dimensional Poisson binomial distribution is to be approximated by a compound Poisson distribution. Received: May 10, 2000; revised version: January 15, 2001     

Bayesian analysis of outlier problems using divergence measures

A Bayesian approach is presented for detecting influential observations using general divergence measures on the posterior distributions. A sampling-based approach using a Gibbs or Metropolis-within-Gibbs method is used to compute the posterior divergence measures. Four specific measures are proposed, which convey the effects of a single observation or covariate on the posterior. The technique is applied to a generalized linear model with binary response data, an overdispersed model and a nonlinear model. An asymptotic approximation using Laplace method to obtain the posterior divergence is also briefly discussed.     

关于有效促进社会公正的几个问题

本文认为:(1)为了顺利地推进改革,为了中国社会经济持续、有效和健康的发展,就必须适应新的历史条件,顺应民意、顺应现代社会的基本趋势,把社会公正放到一个突出的位置。(2)在中国现阶段应当开始建立一个初级的社会公平保障体系。初级社会公平保障体系的基本特征是低水准、广覆盖、有实效。对于国家来说,近期需要做的事情可以分为两大块,一是国家的直接投入,二是国家的立法、监督、执行和引导。(3)有一些根深蒂固的观念在妨碍着我们重视社会公正问题。这些观念主要包括:“原始积累不可避免”,“国家财力不足”,“重视公正便会妨碍效率”,因此我们必须对这些观念进行一番必要的反思。(4)要想构建一个公正而和谐的社会,就必须培育一个庞大的中等收入者人群,形成一个“两头小,中间大”的橄榄型的社会结构,那么社会就会变得越来越稳定了。