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ASSESSMENT OF LOCAL INFLUENCE IN A GROWTH CURVE MODEL WITH RAO'S SIMPLE COVARIANCE STRUCTURE 被引量:2
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作者 白鹏 《Acta Mathematica Scientia》 SCIE CSCD 1999年第S1期555-563,共9页
The present paper deals with the problem of assessing the local influence in a growth curve model with Rao's simple covariance structure. Based on the likelihood displacement,the curvature measure is employed to e... The present paper deals with the problem of assessing the local influence in a growth curve model with Rao's simple covariance structure. Based on the likelihood displacement,the curvature measure is employed to evaluate the effects of some minor perturbations on the statistical inference, thus leading to the large curvature direction, which is the most critical diagnostic statistic in the context of the local influence analysis. As an application, the common covariance-weighted perturbation scheme is thoroughly considered. 展开更多
关键词 Growth curve model Rao's simple covariance structure w-model Likelihood displacement CURVATURE
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ADMISSIBILITY OF LINEAR ESTIMATORS IN A GROWTH CURVE MODEL SUBJECT TO AN INCOMPLETE ELLIPSOIDAL RESTRICTION 被引量:2
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作者 张尚立 桂文豪 《Acta Mathematica Scientia》 SCIE CSCD 2008年第1期194-200,共7页
This article considers the admissibility of the linear estimators for the regression coefficients in the growth curve model subject to an incomplete ellipsoidal restriction. The necessary and sufficient conditions for... This article considers the admissibility of the linear estimators for the regression coefficients in the growth curve model subject to an incomplete ellipsoidal restriction. The necessary and sufficient conditions for linear estimators to be admissible in classes of the homogeneous and non-homogeneous linear estimators, respectively, are obtained under the quadratic loss function. They are generalizations of some existing results in literature. 展开更多
关键词 Growth curve model ADMISSIBILITY linear estimator
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BAYESIAN LOCAL INFLUENCE ASSESSMENTS IN A GROWTH CURVE MODEL WITH GENERAL COVARIANCE STRUCTURE 被引量:1
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作者 白鹏 费宇 《Acta Mathematica Scientia》 SCIE CSCD 2000年第4期563-570,共8页
The objective of this paper is to present a Bayesian approach based on Kullback- Leibler divergence for assessing local influence in a growth curve model with general co- variance structure. Under certain prior distri... The objective of this paper is to present a Bayesian approach based on Kullback- Leibler divergence for assessing local influence in a growth curve model with general co- variance structure. Under certain prior distribution assumption, the Kullback-Leibler di- vergence is used to measure the influence of some minor perturbation on the posterior distribution of unknown parameter. This leads to the diagnostic statistic for detecting which response is locally influential. As an application, the common covariance-weighted perturbation scheme is thoroughly considered. 展开更多
关键词 Growth curve model prior and posterior distribution Kullback-Leibler di- vergence Bayesianω-model CURVATURE
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ADMISSIBILITY IN THE GENERAL GROWTH CURVE MODEL WITH RESPECT TO RESTRICTED PARAMETER SETS UNDER MATRIX LOSS FUNCTION 被引量:1
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作者 张尚立 覃红 《Acta Mathematica Scientia》 SCIE CSCD 2010年第1期27-38,共12页
In this paper, we study the issue of admissibility in the growth curve model with respect to restricted parameter sets under matrix loss function. We obtain some neces- sary and sufficient conditions that the linear e... In this paper, we study the issue of admissibility in the growth curve model with respect to restricted parameter sets under matrix loss function. We obtain some neces- sary and sufficient conditions that the linear estimators of KBL are admissible in the class of homogeneous linear estimators and in the class of non-homogeneous linear estimators under the growth curve model with respect to restricted parameter sets, respectively. 展开更多
关键词 growth curve model linear estimation ADMISSIBILITY incomplete ellipsoidalrestriction
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An Improved Unique Fatigue Crack Growth Rate Curve Model and Determination of the Model Shape Exponents 被引量:1
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作者 Li Sun Yingcai Huang Xiaoping Huang 《Journal of Marine Science and Application》 CSCD 2022年第4期104-115,共12页
It is essential to precisely predict the crack growth,especially the near-threshold regime crack growth under different stress ratios,for most engineering structures consume their fatigue lives in this regime under ra... It is essential to precisely predict the crack growth,especially the near-threshold regime crack growth under different stress ratios,for most engineering structures consume their fatigue lives in this regime under random loading.In this paper,an improved unique curve model is proposed based on the unique curve model,and the determination of the shape exponents of this model is provided.The crack growth rate curves of some materials taken from the literature are evaluated using the improved model,and the results indicate that the improved model can accurately predict the crack growth rate in the nearthreshold and Paris regimes.The improved unique curve model can solve the problems about the shape exponents determination and weak ability around the near-threshold regime meet in the unique curve model.In addition,the shape exponents in the improved model at negative stress ratios are discussed,which can directly adopt that in the unique curve model. 展开更多
关键词 Near-threshold regime Crack growth rate Stress ratio Improved unique curve model Shape exponents
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Admissibility of Linear Estimators in the Growth Curve Model with Respect to Inequality Restriction
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作者 方龙祥 郭大伟 《Northeastern Mathematical Journal》 CSCD 2007年第6期513-522,共10页
For the growth curve model with respect to inequality restriction: Y = XBZ +ε,ε(0, σ2V I), trNB ≥0, this paper gives some necessary and sufficient conditions for the linear estimator of KBL to be admissible in... For the growth curve model with respect to inequality restriction: Y = XBZ +ε,ε(0, σ2V I), trNB ≥0, this paper gives some necessary and sufficient conditions for the linear estimator of KBL to be admissible in the class of homogeneous linear estimators LH and nonhomogeneous linear estimators LI, respectively, under the quadratic loss function tr(d(Y) - KBL)'(d(Y) - KBL). 展开更多
关键词 inequality restriction ADMISSIBILITY growth curve model linear estimator
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Study on Project Progress Curve Model
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作者 Ding Shibao 《Engineering Sciences》 EI 2008年第1期74-77,共4页
Because of the discrepancy of project types,the project progress curves present different characteristics.Studying project progress curves can reduce management risk of project and overall grasp the enforcement condit... Because of the discrepancy of project types,the project progress curves present different characteristics.Studying project progress curves can reduce management risk of project and overall grasp the enforcement condition of the project.Combining project characteristic,this paper reaches 4 kinds of project progress curve patterns.If the front of the progress curve is concave,and its rear is protruding in the break point,it is named as S model.If its front is protruding and its rear is concave in the break point,it is named as the reverse side of S model.If the front and rear are concave in the break point,it is named as J model,and two half sections are both upward protruding,it is named as the reverse side of J model.Through a case study,it shows that application project progress curve model can better raise project management. 展开更多
关键词 progress curve model reverse side of S model reverse side of J model
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Admissibility for Linear Estimator of Parameter on Growth Curve Model with Respect to Linear Constraint
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作者 Ming-xiang Cao Fan-chao Kong 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2009年第1期171-176,共6页
By using the vector-method of matrix, we study Growth Curve Model with respect to linear constraint. Under matrix loss function and vector loss function, we obtain necessary and sufficient conditions for admissibility... By using the vector-method of matrix, we study Growth Curve Model with respect to linear constraint. Under matrix loss function and vector loss function, we obtain necessary and sufficient conditions for admissibility of linear estimators of parameters in the inhomogeneous linear class. 展开更多
关键词 Growth curve model linear estimators ADMISSIBILITY
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Influence Analysis in Growth Curve Model with Covariate Matrix Disturbance
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作者 Gang Liu Shangli Zhang Guomei Zhou 《Journal of Systems Science and Information》 2006年第1期117-120,共4页
Abstract: In this paper, we discuss the influence analysis of BLUE in growth curve model with covariate matrix disturbance, and establish the relationships of BLUEs among different models, give the measurement and co... Abstract: In this paper, we discuss the influence analysis of BLUE in growth curve model with covariate matrix disturbance, and establish the relationships of BLUEs among different models, give the measurement and computational formula which can assess the disturbing influence. 展开更多
关键词 growth curve model covariate matrix disturbance Best Linear Unbiased Estimate (BLUE) influence analysis
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An improved model of partition curve based on accumulation normal distribution function 被引量:2
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作者 Sun Wei Chen Jianzhong +1 位作者 Shen Lijuan Li Yonggai 《International Journal of Mining Science and Technology》 SCIE EI 2013年第3期375-380,共6页
Extensive studies based on partition curve of gravity separation have been investigated. All created models are merely used to simulate density distribution at the same size fraction. However, they cannot be used to p... Extensive studies based on partition curve of gravity separation have been investigated. All created models are merely used to simulate density distribution at the same size fraction. However, they cannot be used to predictive distribution of materials depending on compound feature of density and size. According to this situation, an improved model of partition curve based on accumulation normal distribution, which was distinguished from conventional model of accumulation normal distribution for partition curve, was proposed in this paper. It could simulate density distribution at different size fractions by using the density-size compound index and conflating the partition curves at different size fractions as one partition curve. The feasibility of three compound indexes, including mass index, settlement index and transformation index, were investigated. Specific forms of the improved model were also proposed. It is found that transformation index leads to the best fitting results, while the fitting error is only 1.75 according to the fitting partition curve. 展开更多
关键词 Coal preparation Mathematical model Partition curve Accumulation normal distribution model
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Cavitation Bubble Collapse near a Curved Wall by the Multiple-Relaxation-Time Shan-Chen Lattice Boltzmann Model 被引量:1
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作者 薛洪惠 单锋 +2 位作者 郭霞生 屠娟 章东 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第8期83-87,共5页
The cavitation bubble collapse near a cell can cause damage to the cell wall. This effect has received increasing attention in biomedical supersonics. Based on the lattice Boltzmann method, a multiple-relaxation-time ... The cavitation bubble collapse near a cell can cause damage to the cell wall. This effect has received increasing attention in biomedical supersonics. Based on the lattice Boltzmann method, a multiple-relaxation-time Shan–Chen model is built to study the cavitation bubble collapse. Using this model, the cavitation phenomena induced by density perturbation are simulated to obtain the coexistence densities at certain temperature and to demonstrate the Young–Laplace equation. Then, the cavitation bubble collapse near a curved rigid wall and the consequent high-speed jet towards the wall are simulated. Moreover, the influences of initial pressure difference and bubble-wall distance on the cavitation bubble collapse are investigated. 展开更多
关键词 Cavitation Bubble Collapse near a curved Wall by the Multiple-Relaxation-Time Shan-Chen Lattice Boltzmann model
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Error Model of Curves in GIS and Digitization Experiment
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作者 GUO Tongde WANG Jiayao WANG Guangxia 《Geo-Spatial Information Science》 2006年第4期306-310,共5页
A stochastic error process of curves is proposed as the error model to describe the errors of curves in GIS. In terms of the stochastic process, four characteristics concerning the local error of curves, namely, mean ... A stochastic error process of curves is proposed as the error model to describe the errors of curves in GIS. In terms of the stochastic process, four characteristics concerning the local error of curves, namely, mean error function, standard error function, absolute error function, and the correlation function of errors , are put forward. The total error of a curve is expressed by a mean square integral of the stochastic error process. The probabilistic meanings and geometric meanings of the characteristics mentioned above are also discussed. A scan digitization experiment is designed to check the efficiency of the model. In the experiment, a piece of contour line is digitized for more than 100 times and lots of sample functions are derived from the experiment. Finally, all the error characteristics are estimated on the basis of sample functions. The experiment results show that the systematic error in digitized map data is not negligible, and the errors of points on curves are chiefly dependent on the curvature and the concavity of the curves. 展开更多
关键词 error model of curves stochastic process local error total error digitization experiment
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NUMERICAL INVESTIGATION OF THREE-DIMENSIONAL VISCOUS INCOMPRESSIBLE FLOWS IN DIVERGENT CURVED CHANNELS AND TURBULENT MODEL STUDY
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作者 焦德勇 杨弘炜 +2 位作者 赵志君 苏杰先 冯国泰 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第7期639-646,共8页
In order to make the numerical calculation of viscous flows more convenient for the flows in channel with complicated profile governing equations expressed in the arbitrary curvilinear coordinates were derived by mean... In order to make the numerical calculation of viscous flows more convenient for the flows in channel with complicated profile governing equations expressed in the arbitrary curvilinear coordinates were derived by means of Favre density-weighted averaged method, and a turbulent model with effect of curvature modification was also derived. The numerical calculation of laminar and turbulent flown in divergent curved channels was carried out by means of parabolizeil computation method. The calculating results were used to analyze and investigate the aerodynamic performance of talor cascades in compressors preliminarily. 展开更多
关键词 NUMERICAL INVESTIGATION OF THREE-DIMENSIONAL VISCOUS INCOMPRESSIBLE FLOWS IN DIVERGENT curveD CHANNELS AND TURBULENT model STUDY
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Degree elevation from Bzier curve to C-Bzier curve with corner cutting form
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作者 SHEN Wan-qiang WANG Guo-zhao 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2016年第2期165-176,共12页
The existing results of curve degree elevation mainly focus on the degree of algebraic polynomials. The paper considers the elevation of degree of the trigonometric polynomial, from a Bezier curve on the algebraic pol... The existing results of curve degree elevation mainly focus on the degree of algebraic polynomials. The paper considers the elevation of degree of the trigonometric polynomial, from a Bezier curve on the algebraic polynomial space, to a C-Bezier curve on the algebraic and trigonometric polynomial space. The matrix of degree elevation is obtained by an operator presentation and a derivation pyramid. It possesses not a recursive presentation but a direct expression. The degree elevation process can also be represented as a corner cutting form. 展开更多
关键词 curve modeling Bezier curve C-Bezier curve Degree elevation Corner cutting.
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Thinking of Establishing Corporate Governance Model with Chinese Characteristics
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作者 Guojie Zhao Lianyu Wu Xinxiang Zhai 《Chinese Business Review》 2006年第2期32-34,46,共4页
After repeated comparison, we believe that the theory of building Chinese management system should be to stimulate innovation as a core, thus forming a complete Chinese enterprise culture, as well as business developm... After repeated comparison, we believe that the theory of building Chinese management system should be to stimulate innovation as a core, thus forming a complete Chinese enterprise culture, as well as business development and strategic choice as a means of enterprise organizational change management theories 展开更多
关键词 corporate governance model incentive- innovation core oval-double curve model
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Innovative Development Path of the Pension Model Under the Background of the Aging Society: Taking Chongqing as an Example
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作者 Aihong Wang 《Proceedings of Business and Economic Studies》 2023年第1期1-7,共7页
The aging society has dawned on China,and the pension industry is now considered to be a sunrise industry.In 2020,the number of people over the age of 65 in Chongqing had reached more than 5.47 million.At present,the ... The aging society has dawned on China,and the pension industry is now considered to be a sunrise industry.In 2020,the number of people over the age of 65 in Chongqing had reached more than 5.47 million.At present,the mainstream home-based care,children support,and institutional care cannot fully meet the needs of the elderly for food,housing,medical care,nursing,and entertainment.The value curve model from“Blue Ocean Strategy”is used to look for innovative,differentiated competitive strategies.Through community-sharing pension institutions,it is believed that a new model that provides lower prices and more professional medical care services for the elderly,enriches the spiritual world of the elderly with rich entertainment activities,and connects social services through an elderly studio to meet the needs of the elderly for self-realization can be introduced. 展开更多
关键词 Pension model Value curve model Four-step framework method Community-sharing pension
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Nonlinear density wave and energy consumption investigation of traffic flow on a curved road 被引量:1
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作者 金智展 程荣军 葛红霞 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第11期135-143,共9页
A new car-following model is proposed based on the full velocity difference model(FVDM) taking the influence of the friction coefficient and the road curvature into account. Through the control theory, the stability... A new car-following model is proposed based on the full velocity difference model(FVDM) taking the influence of the friction coefficient and the road curvature into account. Through the control theory, the stability conditions are obtained,and by using nonlinear analysis, the time-dependent Ginzburg-Landau(TDGL) equation and the modified Korteweg-de Vries(mKdV) equation are derived. Furthermore, the connection between TDGL and mKdV equations is also given. The numerical simulation is consistent with the theoretical analysis. The evolution of a traffic jam and the corresponding energy consumption are explored. The numerical results show that the control scheme is effective not only to suppress the traffic jam but also to reduce the energy consumption. 展开更多
关键词 car-following model curved road energy consumption time-dependent Ginzburg-Landau(TDGL) equation
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Application Study on 3D Modeling of Axial Compressor Blades Based on CFD and CAD 被引量:3
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作者 WANG Zheng WU Hu +1 位作者 SHI Ya-feng Wang Hong-bo 《International Journal of Plant Engineering and Management》 2009年第1期21-24,共4页
A new method for design of turbomachinery blades is presented. The parameters of a compressor blade are created from the Computational Fluid Dynamics (CFD) software CFX-BladeGen, and are inputted to the Computer Aid... A new method for design of turbomachinery blades is presented. The parameters of a compressor blade are created from the Computational Fluid Dynamics (CFD) software CFX-BladeGen, and are inputted to the Computer Aided Design (CAD) software UG for building a curve surface model to create an entity model in UG. The result shows that the blade model is favorable from the entity effect and reflection analysis and the model process is useful for the CAD model creation of turbomachinery blades. 展开更多
关键词 turbomachinery blade Computational Fluid Dynamics (CFD) Computer Aided Design (CAD) curve surface model entity model
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Stability of rat models of fluid percussion-induced traumatic brain injury: comparison of three different impact forces 被引量:1
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作者 Yun-peng Lin Rong-cai Jiang Jian-ning Zhang 《Neural Regeneration Research》 SCIE CAS CSCD 2015年第7期1088-1094,共7页
Fluid percussion-induced traumatic brain injury models have been widely used in experimental research for years. In an experiment, the stability of impaction is inevitably affected by factors such as the appearance of... Fluid percussion-induced traumatic brain injury models have been widely used in experimental research for years. In an experiment, the stability of impaction is inevitably affected by factors such as the appearance of liquid spikes. Management of impact pressure is a crucial factor that determines the stability of these models, and direction of impact control is another basic element. To improve experimental stability, we calculated a pressure curve by generating repeated impacts using a fluid percussion device at different pendulum angles. A stereotactic frame was used to control the direction of impact. We produced stable and reproducible models, including mild, moderate, and severe traumatic brain injury, using the MODEL01-B device at pendulum angles of 6°, 11° and 13°, with corresponding impact force values of 1.0 ± 0.11 atm(101.32 ± 11.16 k Pa), 2.6 ± 0.16 atm(263.44 ± 16.21 k Pa), and 3.6 ± 0.16 atm(364.77 ± 16.21 k Pa), respectively. Behavioral tests, hematoxylin-eosin staining, and magnetic resonance imaging revealed that models for different degrees of injury were consistent with the clinical properties of mild, moderate, and severe craniocerebral injuries. Using this method, we established fluid percussion models for different degrees of injury and stabilized pathological features based on precise power and direction control. 展开更多
关键词 nerve regeneration traumatic brain injury fluid percussion impact force pressure curve head fixed impact peak animal models neural regeneration
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Research into Freedom Surface Modeling System of Double Beta Spline in Space
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作者 Liu Xumin Department of Electronic Engineering, Jinzhou Teachers College, Liaoning 121000, P. R. China Xu Weixiang Automation Research Institute, Northern Jiaotong University, Beijing 100044, P. R. China Liu Xumin & Xu Weixiang Research into Freedom Sur 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1997年第3期65-73,共9页
In this paper, we present the double Beta spline curved surface which is controlled by double parameters including the algorithm principles, the treatment of boundary conditions, the alternation of projection, the alg... In this paper, we present the double Beta spline curved surface which is controlled by double parameters including the algorithm principles, the treatment of boundary conditions, the alternation of projection, the algorithms of elimination hiddle line, the process to display and the primiples to produce the shaded curved surface. Based on all the above, a freedom surface modeling system (FSMS) is designed and some examples developed on FSMS are verified and analyzed. 展开更多
关键词 curved surface modeling Double Beta spline curved surface Elimination hiddle line Piece together Shaded curved surface.
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