A CONTINUOUSLY ADAPTIVE RANK TEST FOR SHIFT IN LOCATION

This paper considers the problem of testing for shift in location when the symmetry of the underlying distribution is in doubt. Various adaptive test procedures have been suggested in the literature; they are mainly based on a preliminary test or measure of asymmetry, and then choosing between the sign or the Wilcoxon tests accordingly. However, as this paper demonstrates, there are some disadvantages with such procedures. This paper develops a test that does not suffer from such disadvantages. The proposed test is based on modifying the Wilcoxon scores according to the evidence of asymmetry of the distribution present in the data as indicated by the magnitude of the P‐value from a preliminary test of symmetry. A simulation study investigates and compares the performance of the proposed test and other known adaptive procedures in terms of power and attainment of the nominal size. The performance of a suitable bootstrap procedure for the situation under consideration is also studied. In most cases under consideration, the proposed test is found to be superior to the other tests.     

浅谈表现为句子形式的流行语的对称性

汉语结构中普遍存在着对称规律,它分布于各级语言结构单位之中。流行语作为汉语的下位结构一定具有汉语结构的对称性的特点。本文阐述了以句子形式出现的流行语所体现的结构对称的规律,并分析了流行语具有对称性规律的原因,从而进一步加强了对汉语结构特点与汉民族文化关系的认识。     

对称连杆曲线驱动槽轮机构

本文分析了曲柄摇杆机构产生Ｖ形对称连杆曲线的条件。研究应用该曲线驱动槽轮机构。分析了该驱动方式下槽轮的运动性能。     

关于高等数学中积分计算的几种方法

研究用二种积分方法联用，将定积分还原成二重积分以及运用递推公式、对称性求不定积分、定积分和广义积分的方法。     

不定度规空间内的一类算子的谱

本文建立了一个完备的不定度规空间．并在其上研究了一类自伴算子的谱．利用微分方程的方法．得出了谱的结果．     

笔顺规则新探

汉字笔顺的第一规则是“从上到下、从左到右”,第二规则是“先大后小、先长后短”。“上”、“下”、“左”、“右”以笔画的末端为依据 ,“大”、“小”则以偏旁笔画的纵横向距离的乘积来估算。     

浅谈对偶

对偶是汉民族心理的、思维的、语言的三方面的结晶 ,是汉民族特有的语言现象 ,这种修辞方式具有对称性、重复性、完形性等特点 ,这些特点也是对偶具备外部形式上的完整性和内部语义形态相对独立性的必不可少的基本特性     

On implementation of a test for Kronecker product covariance structure for multivariate repeated measures data

Under the assumption of multivariate normality the likelihood ratio test is derived to test a hypothesis for Kronecker product structure on a covariance matrix in the context of multivariate repeated measures data. Although the proposed hypothesis testing can be computationally performed by indirect use of Proc Mixed of SAS, the Proc Mixed algorithm often fails to converge. We provide an alternative algorithm. The algorithm is illustrated with two real data sets. A simulation study is also conducted for the purpose of sample size consideration.     

On Maximum Depth and Related Classifiers

Abstract.  Over the last couple of decades, data depth has emerged as a powerful exploratory and inferential tool for multivariate data analysis with wide-spread applications. This paper investigates the possible use of different notions of data depth in non-parametric discriminant analysis. First, we consider the situation where the prior probabilities of the competing populations are all equal and investigate classifiers that assign an observation to the population with respect to which it has the maximum location depth. We propose a different depth-based classification technique for unequal prior problems, which is also useful for equal prior cases, especially when the populations have different scatters and shapes. We use some simulated data sets as well as some benchmark real examples to evaluate the performance of these depth-based classifiers. Large sample behaviour of the misclassification rates of these depth-based non-parametric classifiers have been derived under appropriate regularity conditions.     

词序象似性、对称与不对称

从认知语言学角度探讨汉语词序,并进行了适当的英汉对比。以凝固词和顺序象似性的探讨为重点,指出在词序这一语法层面上体现了人类认知直接地映照于语言形式和结构。同时,引入概念“对称”和“不对称”,从认知语言学诠释了词序象似性。