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.     

PSC朗读评分中的语音缺陷问题

在2002年12月《普通话水平测试大纲》修订工作征求意见稿中,我们发现它增加了对短文朗读中语音缺陷扣分的规定。短文朗读中的"语音缺陷"在《普通话水平测试大纲》现行评分标准中一直处于被忽视的地位。笔者同意征求意见稿的观点,对短文朗读中存在的"语音缺陷"应该扣分。短文朗读中存在的"语音缺陷"不能归入语音错误,也不能把它们划入"方言语调"的范围,应该把它们并入"方言色彩"的测试中。为此,笔者提出了短文朗读里语音缺陷的评分办法。     

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.     

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     

分类定位 整合资源：我国事业单位改革的关键

目前我国的改革开放已到了攻坚阶段,事业单位改革作为对计划经济体制核心部分改造的一项重要工程,改革难度极大.本文针对我国事业单位目前存在的问题,提出分类定位、整合事业单位资源是我国事业单位改革的关键.     

Two point priors and Γ-minimax estimating in families of uniform distributions

It is shown that when a parameter lying in a sufficiently small interval is to be estimated in a family of uniform distributions, a two point prior is least favourable under squared error loss. The unique Bayes estimator with respect to this prior is minimax. The Γ-minimax estimator is derived for sets Γ of priors consisting of all priors that give fixed probabilities to two specified subintervals of the parameter space if a two point prior is least favourable in Γ.