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31.
以二维弹性力学问题为研究对象，采用线性非连续元离散边界积分方程，给出了系数矩阵计算的精确表达式，对二维弹性力学问题进行了数值计算，对非连续边界元配位点对计算结果精度的影响进行了讨论，结果表明准奇异积分计算是配位点影响计算结构精度的主要因素。 相似文献
32.
Saad T. Bakir 《Journal of applied statistics》2013,40(7):1608-1618
A subset selection procedure is developed for selecting a subset containing the multinomial population that has the highest value of a certain linear combination of the multinomial cell probabilities; such population is called the ‘best’. The multivariate normal large sample approximation to the multinomial distribution is used to derive expressions for the probability of a correct selection, and for the threshold constant involved in the procedure. The procedure guarantees that the probability of a correct selection is at least at a pre-assigned level. The proposed procedure is an extension of Gupta and Sobel's [14] selection procedure for binomials and of Bakir's [2] restrictive selection procedure for multinomials. One illustration of the procedure concerns population income mobility in four countries: Peru, Russia, South Africa and the USA. Analysis indicates that Russia and Peru fall in the selected subset containing the best population with respect to income mobility from poverty to a higher-income status. The procedure is also applied to data concerning grade distribution for students in a certain freshman class. 相似文献
33.
Lingsong Zhang Yao Wang 《Wiley Interdisciplinary Reviews: Computational Statistics》2014,6(3):197-201
Singular value decomposition/principal component analysis method is a central tool in multivariate analysis and functional data analysis. In this article, a list of visualization tools that are useful in revealing structure within sample datasets is investigated. An Internet traffic dataset is used to illustrate the usefulness of these methods. This article is categorized under:
- Statistical Learning and Exploratory Methods of the Data Sciences > Clustering and Classification
- Algorithms and Computational Methods > Computer Graphics
- Statistical and Graphical Methods of Data Analysis > Statistical Graphics and Visualization
34.
An expanded class of multiplicative-interaction (M-I) models is proposed for two-way contingency tables. These models a generalization of Goodman's association models, fill in the gap between the independence and the saturated models. Diagnostic rules based on a transformation of the data are proposed for the detection of such models. These rules, utilizing the singular value decomposition of the transformed data, are very easy to use. Maximum likelihood estimation is considered and the computational algorithms discussed. A data set from Goodman (1981) and another from Gabriel and Zamir (1979) are used to demostrate the diagnostic rules. 相似文献
35.
Herv Abdi Lynne J. Williams Domininique Valentin 《Wiley Interdisciplinary Reviews: Computational Statistics》2013,5(2):149-179
Multiple factor analysis (MFA, also called multiple factorial analysis) is an extension of principal component analysis (PCA) tailored to handle multiple data tables that measure sets of variables collected on the same observations, or, alternatively, (in dual‐MFA) multiple data tables where the same variables are measured on different sets of observations. MFA proceeds in two steps: First it computes a PCA of each data table and ‘normalizes’ each data table by dividing all its elements by the first singular value obtained from its PCA. Second, all the normalized data tables are aggregated into a grand data table that is analyzed via a (non‐normalized) PCA that gives a set of factor scores for the observations and loadings for the variables. In addition, MFA provides for each data table a set of partial factor scores for the observations that reflects the specific ‘view‐point’ of this data table. Interestingly, the common factor scores could be obtained by replacing the original normalized data tables by the normalized factor scores obtained from the PCA of each of these tables. In this article, we present MFA, review recent extensions, and illustrate it with a detailed example. WIREs Comput Stat 2013, 5:149–179. doi: 10.1002/wics.1246 This article is categorized under:
- Data: Types and Structure > Categorical Data
- Statistical Learning and Exploratory Methods of the Data Sciences > Exploratory Data Analysis
- Statistical and Graphical Methods of Data Analysis > Multivariate Analysis
36.
《Journal of Statistical Computation and Simulation》2012,82(3-4):171-183
Some deterministic ridge rules are proposed and their finite sample properties are studied. Further, a simulation study is also conducted. Based on the simulation results, the proposed ridge estimators can improve the mean squared error over the least squares estimator, provided that the condition number of correlation matrices in the regression model is large, say at least 1,000. 相似文献
37.
Zhaojun Bai 《统计学通讯:模拟与计算》2013,42(2):569-579
The singular value decomposition (SVD) has been widely used in the ordinary linear model and other statistical problems. In this paper, we shall introduce the generalized singular value decomposition (GSVD) of any two matrices X and H having the same number of columns to moti-vate the numerical treatment of large scale restricted Gauss-Markov model (y,XβHβ = r,σ21), a situation to reveal the relationship (or restriction) existing among the parameters of the model. Many approaches to restricted linear model are already available. Those approaches apply the generalized inverse of matrices and emphasize the the-oretical solution of the problem rather than the development of efficient and numerical stable algorithm for the computation of estimators. The possible merit of the method present here might lie in the facts that they directly lead to an efficient, numerically stable and easily programmed algorithm for 相似文献
38.
The theory of best affine prediction (BAP) is extended to the vector case with possibly singular variance matrix of the predictor
variable. The theory is then applied to derive Thomson’s classical predictor for factor scores, allowing for a singular variance
matrix of the factors. The results are formulated in a free distribution setting. Further, Bartlett’s estimator is considered
and compared with Thomson’s predictor.
The authors are thankful to the two referees, one for a suggestion that led to the Addendum of the paper, and the other one
for several very useful remarks. Research supported by the Spanish grant BEC2000-0983. 相似文献
39.
三十年来澳门地区课程政策的理论反思 总被引：1，自引：0，他引：1
针对澳门30年来的课程政策所作的理论反思,确认了澳门的课程政策正由过去放任自流或是偏于学校自主的校本或是地方分权的课程政策转而成为各方持分者的共同享有、共同负责、共有负责的课程政策;又,由课程意义的界定和课程框架的调整二项,归纳出澳门的课程政策正由传统单一朝向进步多元论推进的结论. 相似文献
40.
曹淑贞 《绍兴文理学院学报》2002,22(9):37-40
研究矩阵方程AXAT+BXBT=C的对称半正定解 .利用广义奇异值分解给出了该矩阵方程有解的充要条件及解的通式 相似文献