Covariate Adjusted Correlation Analysis via Varying Coefficient Models

Abstract.  We propose covariate adjusted correlation (Cadcor) analysis to target the correlation between two hidden variables that are observed after being multiplied by an unknown function of a common observable confounding variable. The distorting effects of this confounding may alter the correlation relation between the hidden variables. Covariate adjusted correlation analysis enables consistent estimation of this correlation, by targeting the definition of correlation through the slopes of the regressions of the hidden variables on each other and by establishing a connection to varying-coefficient regression. The asymptotic distribution of the resulting adjusted correlation estimate is established. These distribution results, when combined with proposed consistent estimates of the asymptotic variance, lead to the construction of approximate confidence intervals and inference for adjusted correlations. We illustrate our approach through an application to the Boston house price data. Finite sample properties of the proposed procedures are investigated through a simulation study.     

微型燃气轮机冷热电联供系统的热经济性分析

通过划分我校能源岛系统的子系统图，计算了各股能流的热力学参数和火用值，并进行了热力性能计算及结果分析．在此基础上求取各子系统的燃料炯和产品炯单价及其经济系数，对结果进行了热经济分析，指出了系统的不足之处，并提出了改进意见．     

Graphical solutions for structural regression assist errors-in-variables modelling

Structural regression attempts to reveal an underlying relationship by compensating for errors in the variables. Ordinary least-squares regression has an entirely different purpose and provides a relationship between error-included variables. Structural model solutions, also known as the errors-in-variables and measurement-error solutions, use various inputs such as the error-variance ratio and x-error variance. This paper proposes that more accurate structural line gradient (coefficient) solutions will result from using the several solutions together as a system of equations. The known data scatter, as measured by the correlation coefficient, should always be used in choosing legitimate combinations of x- and y-error terms. However, this is difficult using equations. Chart solutions are presented to assist users to understand the structural regression process, to observe the correlation coefficient constraint, to assess the impact of their error estimates and, therefore, to provide better quality estimates of the structural regression gradient.     

产出与经济效益的相应关系研究

在文献[1～4]的基础上,进一步提出产出-完全经济效益传递系数、贡献系数和受益系数,以揭示产出与经济效益的相互联系和数量关系,并在此基础上提出了提高各部门经济效益的主要途径。     

对房价——收入衡量指标的修正

针对房价收入比指标衡量区域房地产价格与居民收入水平关系中的不足,提出人均住宅有效购买力系数的概念,阐述该指标的优点,并用该指标对1987年以来中国人均住宅有效购买力的变化和截止2004年底37个大中城市人均有效购买力的横向对比做了实证分析,进而探讨了建构中国房地产市场统计指标体系的新思路。     

论模糊数学在假设检验中的应用

文章通过对隶属函数的集中度系数确定的探讨,将模糊数学应用于贝叶斯统计学,从而形成了一种新的假设检验方法.     

The ubiquitous angle

Summary.  Previously we used the geometry of n -dimensional space to derive the paired samples t -test and its p -value. In the present paper we describe the 'ubiquitous' application of these results to single degree of freedom linear model hypothesis tests. As examples, we derive the p - and t -values for the independent samples t -test, for testing a contrast in an analysis of variance and for testing the slope in a simple linear regression analysis. An angle θ in n -dimensional space is again pivotal in the development of the ideas. The relationships between p , t , θ , F and the correlation coefficient are also described by using a 'statistical triangle'.     

区域产业投入优化的熵权系数模型研究

针对区域产业投入的优化问题,不仅考虑到投入的经济效益,同时也考虑了投入的社会效益和生态效益,综合主观赋权法和客观赋权法,建立熵权系数模型,以确定各产业的最优投入,并举例说明模型的应用.     

DETERMINATION OF DOMAINS OF ATTRACTION BASED ON A SEQUENCE OF MAXIMA

Suppose that the maximum of a random sample from a distribution F(x) may be obtained in each of k equally spaced observation periods. This paper proposes a test to determine the domain of attraction of F(x), and investigates the properties when the sample size is very large and perhaps unknown and k is fixed and small. The test statistic is a function of the spacings between the order statistics based on the sequence of maxima and is suggested by reference to one studied previously when inference was based on the largest k observations of a random sample. A Monte Carlo study shows that the proposed test is more powerful than its main competitor. The test is illustrated by two examples.     

再入等离子体鞘套中电磁波Helmholtz方程的近似解

本文以样条函数(spline function)作为电磁波Helmholtz方程的近似解,求解了等离子体鞘套的反射系数和透射系数。本文采用的样条函数法具有数学推导和数字计算简单,可适用于任意电子浓度分布的优点,并且计算结果与美国RAM C系列飞行实测数据吻合得比较好。同时,本方法还可用于求解其它不均匀介质中的电波传播问题。