Efficient Estimation in Heteroscedastic Partially Linear Varying Coefficient Models

This article considers statistical inference for the heteroscedastic partially linear varying coefficient models. We construct an efficient estimator for the parametric component by applying the weighted profile least-squares approach, and show that it is semiparametrically efficient in the sense that the inverse of the asymptotic variance of the estimator reaches the semiparametric efficiency bound. Simulation studies are conducted to illustrate the performance of the proposed method.     

Moderate Deviations for Bayes Posteriors

Let ( X_k ) k be a sequence of i.i.d. random variables taking values in a set , and consider the problem of estimating the law of X₁ in a Bayesian framework. We prove, under mild conditions on the prior, that the sequence of posterior distributions satisfies a moderate deviation principle.     

Quadratic estimators of covariance components in a multivariate mixed linear model

It is known that the Henderson Method III (Biometrics 9:226–252, 1953) is of special interest for the mixed linear models because the estimators of the variance components are unaffected by the parameters of the fixed factor (or factors). This article deals with generalizations and minor extensions of the results obtained for the univariate linear models. A MANOVA mixed model is presented in a convenient form and the covariance components estimators are given on finite dimensional linear spaces. The results use both the usual parametric representations and the coordinate-free approach of Kruskal (Ann Math Statist 39:70–75, 1968) and Eaton (Ann Math Statist 41:528–538, 1970). The normal equations are generalized and it is given a necessary and sufficient condition for the existence of quadratic unbiased estimators for covariance components in the considered model.     

LLSM在群体判断中的推广和应用

首先分析了对数最小二乘排序法的特点,说明它是一种值得重视的好方法;并进一步阐述了这一方法的基本原理,着重地对群体判断下求加权的综合排序向量的方法进行了严密的数学推导;提出了在加权的综合排序中权重系数确定的新見解,并举例子以解释。     

短波近红外光谱的盐酸环丙沙星粉末药品的定量分析

利用漫反射法获得环丙沙星短波近红外光谱(700-1100nm),采用化学计量学中的偏最小二乘法(PLS),选取不同的波长范围及不同的光谱预处理方法(一阶导数和和二阶导数)对光谱进行信息提取和分析,对盐酸环丙沙星粉末药品进行了无损非破坏定量分析,以样品中盐酸环丙沙星为活性成分建立了最佳的数学校正模型。讨论了主成分数对PLS模型定量预测能力的影响,并做了比较。     

大中专在校学生考试分数的正态化线性转换

本文分析了考试记分方法中传统的绝对百分体制的缺陷，给出了一种正态化转换分数的算法，较适合于在校大中专学生学习水平的横向评价。     

基本剩余价值初探

剩余价值在其历史发展中相继地采取了绝对剩余价值、相对剩余价值和基本剩余价值的直接表现形式。基本剩余价值是在绝对剩余价值和相对剩余价值尚未产生或产而复失的历史场合中必须生产的 ,也是在实行绝对剩余价值生产和相对剩余价值生产的历史场合中 ,被它们凸现出来并使它们赖以产生的具有原先既定性 ,或扩张基础性和增生本体性的剩余价值形式。基本剩余价值生产与资本主义生产相始终 ,是资本主义生产目的的基本实现。它和绝对剩余价值、相对剩余价值在质和量及其历史形态上的差异 ,使剩余价值成为一个比较经济范畴     

全球视野内的中国贫困问题研究

中国贫困问题的研究应顺应贫困研究国际趋势其中国贫困走向进行相应调整,即顺应贫困演变趋势,从研究绝对贫困向研究相对贫困转化;改变政策取向,从关注集体贫困向关注个体贫困转化;拓宽研究范围,从研究物质贫困向人文贫困转化;转变研究方法,从一般经济学分析拓宽到制度经济学分析。在对策设计上,应从加强反贫困制度建设、实行瞄准贫困人口的扶贫政策、缩小收入差距和关注人文贫困等方面加以考虑。     

A Comparison of Partially Adaptive and Reweighted Least Squares Estimation

The small sample performance of least median of squares, reweighted least squares, least squares, least absolute deviations, and three partially adaptive estimators are compared using Monte Carlo simulations. Two data problems are addressed in the paper: (1) data generated from non-normal error distributions and (2) contaminated data. Breakdown plots are used to investigate the sensitivity of partially adaptive estimators to data contamination relative to RLS. One partially adaptive estimator performs especially well when the errors are skewed, while another partially adaptive estimator and RLS perform particularly well when the errors are extremely leptokur-totic. In comparison with RLS, partially adaptive estimators are only moderately effective in resisting data contamination; however, they outperform least squares and least absolute deviation estimators.