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.     

Fuzzy区间值函数项级数及其一致收敛性

文章在已知Fuzzy函数项级数一致收敛概念的基础上,补充了区间值函数项级数一致收敛的概念和判别方法,给出了一致收敛性的区间值函数项级数的分析性质。     

数学分析中"一致收敛"概念的推广及其应用

将数学分析中一致收敛性的概念加以推广，分别对函数项级数和含参量积分引入次一致收敛的概念，证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件，推广了数学分析中的相应结论．     

The strong uniform convergence of multivariate variable kernel estimates

We show that sup, completely as, where f is a uniformly continuous density on are independent random vectors with common density f, and f_n is the variable kernel estimate Here H_ni is the distance between X_i and its kth nearest neighbour, K is a given density satisfying some regularity conditions, and k is a sequence of integers with the property that log asn     

A review on strong convergence of weighted sums of random elements based on Wasserstein metrics

In a previous paper the authors proposed a simple method to extend results about almost sure convergence for weighted sums of real random variables to the case of Banach-valued random elements. The method arises from the extension of Skorohod's Representation Theorem for weakly convergent sequences due to Blackwell and Dubins, applied to the general framework of weakly equivalent tight sequences of probability measures. This provides a scheme which permits us to handle separately a problem that behaves like the Glivenko-Cantelli Theorem and a question on uniform integrability which generally is reduced to the real valued version of the general problem to be solved.

In this paper we prove that Wasserstein's metrics can play the same role as Skorohod's Representation Theorem in the preceding scheme. We also show that our method can be applied to obtain results with respect to various summability methods (Abel, Euler, …) even in the case in which the ‘weights’ are linear operators.     

收敛函数列的曲线收敛与弧长收敛

本文系统讨论了收敛函数列的曲线收敛与弧长收敛,并给出和证明了弧长收敛的一个性质定理和一个判定定理。     

多期最优投资组合选择模型及其解法

依据平衡定价理论,得出了多期最优投资组合系数的选择模型,并用动态规划法和鞅测度法给出了模型的解,通过实例分析,发现这两种解法都简便易行,为投资者提供了一个较好的决策方法。     

含时滞的单种群反馈控制扩散模型解的渐近行为

本文通过构造 Liapunov 泛函并结合 Smoller 不变区域理论和不等式估计方法,对含时滞的单种群反馈控制扩散模型解的渐近行为进行了讨论,获得了解的整体存在性、有界性及解的一致收敛性的若干充分条件.     

冲突与趋同:世界贸易组织法在欧盟的适用

世界贸易组织(WTO)和欧洲联盟(EU)在贸易法规方面存在着明显的不同。WTO法与欧盟法关系上最有争议的方面就是欧盟否认WTO法的直接适用。一方面,欧洲法院经常主张GATT/WTO法不能在欧洲法律体系内直接适用,法院在许多案件中贯穿了这一原则。但另一方面,当认识到WTO法在一定程度上能约束其成员国尽快融入欧盟法律体系时,欧洲法院在某些案件的处理上又承认WTO法的直接效力。因此,WTO法、欧盟法和成员国国内法之间的冲突不断增加,如何减少冲突日益成为值得关注的问题。     

云南世界遗产地的旅游审美价值及旅游入境人数分析

云南世界遗产地丽江古城和“三江并流”景点,均具有世界级的旅游审美价值,而且紧紧相邻。但是其入境旅游人数却极为悬殊:前者人满为患,后者游人稀少。导致这种两极化旅游现象的原因很多,其中一个十分重要的原因是中西审美心理差异。为此,不仅应该研究两处世界遗产地的外部旅游环境的平衡、优化问题,而且还应该研究对国内旅游者旅游审美心理的引导问题。