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| 1 | GENERALIZED p-VALUES AND GENERALIZED CONFIDENCE INTERVALS FOR VARIANCE COMPONENTS IN GENERAL RANDOM EFFECT MODEL WITH BALANCED DATA显示文摘 | Rendao YE Songgui WANG | 2007 | Journal of Systems Science & Complexity2007，20，4： | 8 |
| 2 | A matrix version of the Wielandt inequality and its application to statistics显示文摘Suppose that A is an n×n positive definite Hemitain matrix. Let X and Y ben×p and n×q matrices(p+q≤n), such that X*Y=O. The following inequality is provedX*AY(YAY)-Y*AX≤((λ1-λn)/(λ1+λn)2)X*AX,where λ1 and λn are respectively the largest and smallest eigenvalues of A, and M- stands for a generalized inverse of M. This inequality is an extension of the well-known Wielandt inequality in which both X and Y are vectors. The inequality is utilized to obtain some interesting inequalities about covariance matrix and various correlation coefficients including the canonical correlation, multiple and simple correlation. | WANG Songgui Wai-Cheung IpDepartment of Applied Mathematics, Beijing Polytechnic University, Beijing 100022, China Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China | 1999 | Chinese Science Bulletin1999，44，2： | 7 |
| 3 | Simultaneous optimal estimates of fixed effects and variance components in the mixed model显示文摘For a general linear mixed model with two variance components, a set of simple conditions is obtained, under which, (i) the least squares estimate of the fixed effects and the analysis of variance (ANOVA) estimates of variance components are proved to be uniformly minimum variance unbiased estimates simultaneously; (ii) the exact confidence intervals of the fixed effects and uniformly optimal unbiased tests on variance components are given; (iii) the exact probability expression of ANOVA estimates of variance components taking negative value is obtained. | WU Mixia WANG Songgui | 2004 | Science China Mathematics2004，47，5： | 6 |
| 4 | A new method of spectral decomposition of covariance matrix in mixed effects models and its applications显示文摘For the mixed effects models with balanced data, a new ordering of design matrices of random effects is defined, and then a simple formula of the spectral decomposition of covariance matrix is obtained. To compare with the two methods in literature,the decomposition can not only give the actual number of all distinct eigenvalues and their expression, but also show clearly the relationship between the design matrices of random effects and the decomposition. These results can be applied to the problems for testifying the analysis of the variance estimate being a minimum variance unbiased under all random effects models and some mixed effects models with balanced data, for finding the explicit solution of maximum likelihood equations for the general mixed effects model and for showing the relationship between the spectral decomposition estimate and the analysis of variance estimate. | WU Mixia WANG Songgui | 2005 | Science China Mathematics2005，48，11： | 4 |
| 5 | Simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model显示文摘Fresh cement mortar is a type of workable paste,which can be well approximated as a Bingham plastic and whose flow behavior is of major concern in engineering.In this paper,Papanastasiou’s model for Bingham fluids is solved by using the multiplerelaxation-time lattice Boltzmann model(MRT-LB).Analysis of the stress growth exponent m in Bingham fluid flow simulations shows that Papanastasiou’s model provides a good approximation of realistic Bingham plastics for values of m>108.For lower values of m,Papanastasiou’s model is valid for fluids between Bingham and Newtonian fluids.The MRT-LB model is validated by two benchmark problems:2D steady Poiseuille flows and lid-driven cavity flows.Comparing the numerical results of the velocity distributions with corresponding analytical solutions shows that the MRT-LB model is appropriate for studying Bingham fluids while also providing better numerical stability.We further apply the MRT-LB model to simulate flow through a sudden expansion channel and the flow surrounding a round particle.Besides the rich flow structures obtained in this work,the dynamics fluid force on the round particle is calculated.Results show that both the Reynolds number Re and the Bingham number Bn afect the drag coefcients CD,and a drag coefcient with Re and Bn being taken into account is proposed.The relationship of Bn and the ratio of unyielded zone thickness to particle diameter is also analyzed.Finally,the Bingham fluid flowing around a set of randomly dispersed particles is simulated to obtain the apparent viscosity and velocity fields.These results help simulation of fresh concrete flowing in porous media. | CHEN SongGui SUN QiCheng JIN Feng LIU JianGuo | 2014 | Science China(Physics,Mechanics & Astronomy)2014，57，3： | 4 |
| 6 | Free-surface Simulations of Newtonian and Non-Newtonian Fluids with the Lattice Boltzmann Method显示文摘This paper describes the application of a three-dimensional lattice Boltzmann method(LBM) to Newtonian and non-Newtonian(Bingham fluid in this work) flows with free surfaces. A mass tracking algorithm was incorporated to capture the free surface, whereas Papanastasiou's modified model was used for Bingham fluids. The lattice Boltzmann method was first validated using two benchmarks: Newtonian flow through a square cross-section tube and Bingham flow through a circular cross-section tube. Afterward, the dam-break problem for the Newtonian fluid and the slump test for Bingham fluid were simulated to validate the free-surface-capturing algorithm. The numerical results were in good agreement with analytical results, as well as other simulations, thereby proving the validity and correctness of the current method. The proposed method is a promising substitute for time-consuming and costly physical experiments to solve problems encountered in geotechnical and geological engineering, such as the surge and debris flow induced by a landslide or earthquake. | ZHANG Chuanhu CHEN Songgui SUN Qicheng JIN Feng | 2016 | Acta Geologica Sinica(English Edition)2016，90，3： | 2 |
| 7 | Simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model显示文摘 | Chen Songgui Sun Qicheng Jin Feng & Liu Jianguo | | SCIENCE CHINA Physics Mechanics & Astronomy 00，，： | 1 |
| 8 | Adaptive ridge predictor in finite populations显示文摘 | Wang Songgui | 1990 | Chinese Science Bulletin1990，，11： | 1 |
| 9 | A new estimate of the parameters in linear mixed model显示文摘 | WANG Songgui YIN Suju | 2002 | Science in China2002，45，10： | 1 |
| 10 | Consistent nonnegative estimates of variance components 显示文摘 | Xu Liwen Wang Songgui Shi Jianhong | 2010 | Acta Mathematica Applicate Sinica2010，2，： | 1 |
| 11 | On the measures of multicollineaxity in least squares regression 显示文摘 | WANG Songgui Tse Sinkeung Chow Sheinchung | 1990 | Statistics and Probability Letter1990，9，： | 1 |
| 12 | Kantoroyicg-tpye inequalities and the measures of inefficiency of the GLSE 显示文摘 | WANG Songgui HU Yang | 1989 | ACTA Mathematics Applicatae Sinica1989，5，4： | 1 |
| 13 | A new estimate of the parameters in linear mixed models显示文摘 | Wang Songgui Yin Suju | 2002 | Science in China Series A: Mathematics2002，，10： | 1 |
| 14 | The linear minimax estimator of stochastic regression coefficients and parameters under quadratic loss function显示文摘 | Xu liwen Wang songgui | 2005 | Chinese Annals of Mathematics Series A2005，26，： | 1 |
| 15 | J Constrained Kantorovich Inequalities and Relative Efficiency of Least Squares 显示文摘 | Wang Songgui Shao | 1992 | J Multi Analysis1992，42，： | 1 |
| 16 | Constrained Kantorovich Inequalities and relative efficiency of least squares显示文摘 | Wang Songgui Shao Jun | 1992 | J Multi Analysis1992，42，： | 1 |
| 17 | Kantorovich-tpye Inequalities and the Measures of Inefficiency of the GLSE 显示文摘 | Wang Songgui Yang Hu | 1989 | Acta Mathematicae Aoplicatae Sinica1989，5，： | 1 |
| 18 | Kantorovich-type inequalities and the measures of emciency of the GLSE显示文摘 | Wang Songgui Yang Hu | 1989 | Acta Mathematicae Aoplicatae Sinica1989，5，： | 1 |
| 19 | A new estimate of the parameters in linear mixed models显示文摘 | Wang Songgui Yin Suju | 2002 | Science in China Series A: Mathematics2002，，10： | 1 |
| 20 | The spectral decomposition of covariance matrices for the variance components models 显示文摘 | SHI JIANHONG WANG SONGGUI | 2006 | Journal of Multi- variate Analysis2006，97，： | 1 |
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