矩阵指数行列式的计算

对矩阵指数的行列式的计算问题 ,进行了理论探讨     

Some Observations on the Correlation Determinant

The lower 5% point of the correlation determinant in the null case, that is with zero parental correlations in the multivariate, normally distributed, data set, are presented for sample sizes up to 30. Repeated Monte Carlo simulation suggests that the limits are correct to +/?2 units in the third place of decimals. Thus the limits permit a test of hypothesis for the mutual independence of the variates involved. For sample sizes greater than 30, an asymptotic approximation based on the chi-squared distribution, as proposed by Morrison (2005 Morrison , D. F. ( 2005 ). Multivariate Statistical Methods , 4th . ed. London : Thompson Brooks/Cde . [Google Scholar]), is shown to be quite reliable.     

我国金融排斥程度省际差异的影响因素研究

近年来,越来越多的研究文献和我国的实际情况都表明我国各省区金融排斥程度状况存在较大的省际差异。为研究金融排斥省际差异的影响因素,文章在已有研究成果的基础上,从经济、社会、人文地理等三个方面构建了相应的评价指标体系,利用相关统计数据和Tobit模型进行了回归分析。计量结果显示,我国金融排斥程度的省际差异受地区工商业化水平、居民的收入水平、城市化水平、住房拥有状况、信息技术水平、地理特征、居民的受教育水平、人口年龄结构等因素的影响显著。根据计量结果,文章提出了要破解金融排斥难题需要促进各地区经济发展,政策要向中西部地区倾斜,提高各地区城市化水平,提高居民受教育水平等政策启示。     

论社会主义政治文明的规定性

社会主义政治文明具有三重规定性政治文明规定性、社会主义规定性和国别规定性.坚持党的领导、人民当家作主和依法治国是这三重规定性的客观要求.社会主义政治文明三重规定性的有机统一决定了必须坚持党的领导、人民当家作主和依法治国的有机统一.     

AN ADAPTIVE TRIMMED LIKELIHOOD ALGORITHM FOR IDENTIFICATION OF MULTIVARIATE OUTLIERS

This article describes an algorithm for the identification of outliers in multivariate data based on the asymptotic theory for location estimation as described typically for the trimmed likelihood estimator and in particular for the minimum covariance determinant estimator. The strategy is to choose a subset of the data which minimizes an appropriate measure of the asymptotic variance of the multivariate location estimator. Observations not belonging to this subset are considered potential outliers which should be trimmed. For α less than about 0.5, the correct trimming proportion is taken to be that α > 0 for which the minimum of any minima of this measure of the asymptotic variance occurs. If no minima occur for an α > 0 then the data set will be considered outlier free.     

LAPLACE定理引理证明的一点改动

高教版《高等代数》第二章第八节中谈到行列式的乘法规则—LAPLACE定理,对该定理的证明及运用取决于对定理引理的证明。笔者在教学过程中发现,对教材中引理证明的最后几步作些改动,可使初学《高等代数》的学生更易于接受、理解。     

实阵和有理阵的一些快算复杂性

给出在Ｓｔｒａｓｓｅｎ矩阵乘法基础上的不同于文献［１］所提出的方法，但同样是的实阵行列式求值的快速算法，有理阵行列式求值的Ｏ（ｎ￣２）的快速算法和有理三角阵求逆的Ｏ（ｎ￣２）的快速算法等。     

A useful approximation for planning block designs with potential missing data

Many empirical studies are planned with the prior knowledge that some of the data may be missed. This knowledge is seldom explicitly incorporated into the experiment design process for lack of a candid methodology. This paper proposes an index related to the expected determinant of the information matrix as a criterion for planning block designs. Due to the intractable nature of the expected determinantal criterion an analytic expression is presented only for a simple 2x2 layout. A first order Taylor series approximation function is suggested for larger layouts. Ranges over which this approximation is adequate are shown via Monte Carlo simulations. The robustness of information in the block design relative to the completely randomized design with missing data is discussed.     

对数学教学语言的探讨

教师的教学语言水平 ,是课堂教学能否取得高效率的主要因素之一。教学语言是教师在教学过程中必须具备的语言工具 ,根据笔者近几年来的教学实践 ,针对数学教学方面进行了一些尝试性的摸索和总结 ,对如何使用数学教学语言进行了一些探讨     

对“关于谢邦杰的一个定理推广”一文的注记

得到了如果四元数体上的矩阵Ａ＝（ａ（ｉｊ））ｍ×ｎ的行向量都不是零向量，那么有　，这一结果改进或推广了已有文献的结论。