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广义线性模型中过离散成因的理论证明及检验 被引量:2
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作者 乔舰 范淑芬 《统计与决策》 CSSCI 北大核心 2016年第16期68-70,共3页
对比例数据、计数数据的广义线性模型建模中常存在过离散现象,文章通过理论证明说明这种现象产生的直接原因在于类内样本数据的正相关性和非齐次性,根源在于建模过程中的聚类行为;进一步给出了在广义线性模型的整个建模过程中检验过离... 对比例数据、计数数据的广义线性模型建模中常存在过离散现象,文章通过理论证明说明这种现象产生的直接原因在于类内样本数据的正相关性和非齐次性,根源在于建模过程中的聚类行为;进一步给出了在广义线性模型的整个建模过程中检验过离散现象存在的可能性并给出了相应的说明。 展开更多
关键词 广义线模型 过离散现象 非齐次性
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上证综指Markov预测模型合理性卡方检验方法
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作者 李俊海 周瑞芳 《陕西理工学院学报(自然科学版)》 2017年第1期82-85,共4页
在建立上证综合指数Markov预测模型过程中,连续型指数需转换为较少状态的离散时间序列。只有选择恰当离散化方法,才能保证所得离散时间序列满足马尔科夫性。借助同分布卡方检验方法,可检验给定两个出发状态的转移概率分布之间是否存在... 在建立上证综合指数Markov预测模型过程中,连续型指数需转换为较少状态的离散时间序列。只有选择恰当离散化方法,才能保证所得离散时间序列满足马尔科夫性。借助同分布卡方检验方法,可检验给定两个出发状态的转移概率分布之间是否存在差异。若同一转移概率矩阵不同行的分布差异较大,表明两个出发状态确有差异,即这两行对应的状态划分合理。而不同历史时期转移概率矩阵同一行的比较,可作为检验马尔科夫链非齐次性的一种方法。 展开更多
关键词 上证综合指数 马尔科夫链 卡方检验 划分状态 非齐次性
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不平等、经济增长和中等收入陷阱 被引量:26
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作者 贺大兴 姚洋 《当代经济科学》 CSSCI 北大核心 2014年第5期1-9,124,共9页
本文从经济不平等的角度对中等收入陷阱的机制给出了一个理论解释。本文的模型表明,在经济发展的不同阶段,不平等对经济的影响不尽相同。在经济起飞阶段,财富集中促进社会物质资本积累,有利于落后国家逃脱贫困陷阱。但是,过度的不平等... 本文从经济不平等的角度对中等收入陷阱的机制给出了一个理论解释。本文的模型表明,在经济发展的不同阶段,不平等对经济的影响不尽相同。在经济起飞阶段,财富集中促进社会物质资本积累,有利于落后国家逃脱贫困陷阱。但是,过度的不平等剥脱了穷人物质投资的机会,形成阻碍发展中国家的第一类中等收入陷阱。跨越第一类中等收入陷阱之后,过度的不平等限制穷人的人力资本投资,导致先进生产部门无法替代落后生产部门,最终形成第二类中等收入陷阱。当穷人有能力积累人力资本后,经济不平等便不再重要,经济最终将收敛于高收入水平阶段。 展开更多
关键词 不平等 中等收入陷阱 非齐次性偏好
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Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions 被引量:3
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作者 Yan Gong Zhilin Li 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2010年第1期23-39,共17页
In this paper,a class of new immersed interface finite element methods (IIFEM) is developed to solve elasticity interface problems with homogeneous and non-homogeneous jump conditions in two dimensions.Simple non-body... In this paper,a class of new immersed interface finite element methods (IIFEM) is developed to solve elasticity interface problems with homogeneous and non-homogeneous jump conditions in two dimensions.Simple non-body-fitted meshes are used.For homogeneous jump conditions,both non-conforming and conforming basis functions are constructed in such a way that they satisfy the natural jump conditions. For non-homogeneous jump conditions,a pair of functions that satisfy the same non-homogeneous jump conditions are constructed using a level-set representation of the interface.With such a pair of functions,the discontinuities across the interface in the solution and flux are removed;and an equivalent elasticity interface problem with homogeneous jump conditions is formulated.Numerical examples are presented to demonstrate that such methods have second order convergence. 展开更多
关键词 Immersed interface finite element methods elasticity interface problems singularity removal homogeneous and non-homogeneous jump conditions level-set function.
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Development of dynamic-mathematical model of hydraulic excavator 被引量:5
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作者 Vujic Dragoljub Lazarevic Olgica Batinic Vojislav 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第9期2010-2018,共9页
This work deals with analysis of dynamic behaviour of hydraulic excavator on the basis of developed dynamic-mathematical model.The mathematical model with maximum five degrees of freedom is extended by new generalized... This work deals with analysis of dynamic behaviour of hydraulic excavator on the basis of developed dynamic-mathematical model.The mathematical model with maximum five degrees of freedom is extended by new generalized coordinate which represents rotation around transversal main central axis of inertia of undercarriage.The excavator is described by a system of six nonlinear,nonhomogenous differential equations of the second kind.Numerical analysis of the differential equations has been done for BTH-600 hydraulic excavator with moving mechanism with pneumatic wheels. 展开更多
关键词 hydraulic excavator dynamic behaviour dynamic-mathematical model
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Remarks on Global Existence for Higher-dimensional Thermoviscoelastic Equations
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作者 QIN Yu-ming HUANG Lan +1 位作者 MA Zhi-yong SU Xiao-ke 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第2期159-167,共9页
In this paper, we obtain some global existence results for the higher-dimensionai nonhomogeneous, linear, semilinear and nonlinear thermoviscoelastic systems by using semigroup approach.
关键词 thermoviscoelastic system global existence semigroup approach
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Admissibilty for Nonhomogeneous Linear Estimates on Multivariate Random Regression Coefficients and Parameters
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作者 艾明要 刘敬敏 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第3期63-70, ,共8页
In this paper,we consider the admissibility for nonhomogeneous linear estimates on regression coefficients and parameters in multivariate random effect linear model and give eight definitions of different forms for ad... In this paper,we consider the admissibility for nonhomogeneous linear estimates on regression coefficients and parameters in multivariate random effect linear model and give eight definitions of different forms for admissibility. We not only prove that they can be divided into three identical subclasses,but also gain three kinds of necessary and sufficient conditions. 展开更多
关键词 multivariate linear model random effect ADMISSIBILITY
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Existence for the Green-Lindsay Type Therm-elastic Problem of Nonhomogeneous Media
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作者 ZHANG Tong-bin WAN Jian-jun 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第1期138-144,共7页
We study a new model named the Green-Lindsay type therm-elastic model for nonhomogeneous media that consists of a system of dynamic thermoelasticity equations of displacement and dynamic heat conduction equation. We c... We study a new model named the Green-Lindsay type therm-elastic model for nonhomogeneous media that consists of a system of dynamic thermoelasticity equations of displacement and dynamic heat conduction equation. We construct the model based on the classical GL-model for homogeneous material. This system is coupled dynamic problem and the displacement field and heat field must be solved at the same time. By using Fadeo- Galerkin method, we proved that the problem we proposed exist unique weak solution under some regular assumption. 展开更多
关键词 weak solution Green-Lindsay problem therm-elastic problem nonhomogeneous media
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Vortex Spatial Solitons to a Nonlinear Schrodinger Equation with Varying Coefficients 被引量:1
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作者 徐四六 梁检初 李忠明 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第12期1105-1110,共6页
Based on homogeneous balance method, sofiton solutions to a generalized nonlinear Sehr6dinger equation (NLSE) with varying coefficients have been gotten. Our results indicate that a new family of vortex or petal-lik... Based on homogeneous balance method, sofiton solutions to a generalized nonlinear Sehr6dinger equation (NLSE) with varying coefficients have been gotten. Our results indicate that a new family of vortex or petal-like spatial solitons can be formed in the Kerr nonlinear media in the cylindrical symmetric geometry. It is shown by numerical simulation that these soliton profiles are stable. 展开更多
关键词 optic soliton homogeneous balance method
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Self-Similar Solutions of Variable-Coefficient Cubic-Quintic Nonlinear Schr(o|¨)dinger Equation with an External Potential 被引量:1
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作者 吴红玉 费金喜 郑春龙 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第7期55-59,共5页
An improved homogeneous balance principle and self-similar solutions to the cubic-quintic nonlinear Schroedinger and impose constraints on the functions describing dispersion, self-similar waves are presented.
关键词 F-expansion technique the cubic-quintic nonlinear Schroedinger equation self-similar solutions propagate self-similarly
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A Class of the Quasilinear Hyperbolic Equations with the Inhomogenous Terms
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作者 杨乔 刘法贵 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第3期39-44,共6页
In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smo... In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smooth solutions for its Cauchy problem. 展开更多
关键词 inhomogeneous term globally smooth sulution quasilinear hyperbolic equations
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Painlevé Integrability of Nonlinear Schrdinger Equations with both Space-and Time-Dependent Coefficients
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作者 Kyoung Ho Han H.J.Shin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第12期1101-1108,共8页
We investigate the Painleve integrabiiity of nonautonomous nonlinear Schr6dinger (NLS) equations with both space-and time-dependent dispersion, nonlinearity, and external potentials. The Painleve analysis is carried... We investigate the Painleve integrabiiity of nonautonomous nonlinear Schr6dinger (NLS) equations with both space-and time-dependent dispersion, nonlinearity, and external potentials. The Painleve analysis is carried out without using the Kruskal's simplification, which results in more generalized form of inhomogeneous equations. The obtained equations are shown to be reducible to the standard NLS equation by using a point transformation. We also construct the corresponding Lax pair and carry out its Kundu-type reduction to the standard Lax pair. Special cases of equations from choosing limited form of coefficients coincide with the equations from the previous Painleve analyses and/or become unknown new equations. 展开更多
关键词 Painleve integrability inhomogeneous nonlinear Schroedinger equation point transformation
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A Modified Homogeneous Balance Method and Its Applications 被引量:1
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作者 刘春平 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第8期223-227,共5页
A modified homogeneous balance method is proposed by improving some key steps in the homogeneousbalance method.Bilinear equations of some nonlinear evolution equations are derived by using the modified homogeneousbala... A modified homogeneous balance method is proposed by improving some key steps in the homogeneousbalance method.Bilinear equations of some nonlinear evolution equations are derived by using the modified homogeneousbalance method.Generalized Boussinesq equation,KP equation,and mKdV equation are chosen as examples to illustrateour method.This approach is also applicable to a large variety of nonlinear evolution equations. 展开更多
关键词 homogeneous balance method bilinear equation generalized Boussinesq equation KP equation mKdV equation
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Exact Soliton Solutions to a Generalized Nonlinear Schrdinger Equation
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作者 徐四六 梁检初 易林 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第1期159-165,共7页
The (1+1)-dimensional F-expansion technique and the homogeneous nonlinear balance principle have been generalized and applied for solving exact solutions to a general (3+1)-dimensional nonlinear Schr6dinger equa... The (1+1)-dimensional F-expansion technique and the homogeneous nonlinear balance principle have been generalized and applied for solving exact solutions to a general (3+1)-dimensional nonlinear Schr6dinger equation (NLSE) with varying coefficients and a harmonica potential. We found that there exist two kinds of soliton solutions. The evolution features of exact solutions have been numerically studied. The (3+1)D soliton solutions may help us to understand the nonlinear wave propagation in the nonlinear media such as classical optical waves and the matter waves of the Bose-Einstein condensates. 展开更多
关键词 SELF-SIMILARITY nonlinear SchrSdinger equation exact soliton solutions
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真空哈密顿约束对扩展knot态的作用计算 被引量:2
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作者 邵常贵 潘贵军 +2 位作者 邵亮 陈中秋 肖俊华 《物理学报》 SCIE EI CAS CSCD 北大核心 2000年第4期619-625,共7页
利用将代数约束展开的方法 ,计算了真空哈密顿约束 (H0 约束 )对微分同胚不变的扩展knot态 ( φG) 2 ,( φG) 3,φG J2 的作用 .结果表明 ,它们在H0 约束下均具有非齐次性质 .给出了态 ( φG) 2
关键词 真空哈密顿约束 扩展knot态 非齐次性 量子引力
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Invariant subspaces and conditional Lie-Bcklund symmetries of inhomogeneous nonlinear difusion equations 被引量:10
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作者 QU ChangZheng JI LiNa 《Science China Mathematics》 SCIE 2013年第11期2187-2203,共17页
The inhomogeneous nonlinear diffusion equation is studied by invariant subspace and condi- tional Lie=Bgcklund symmetry methods. It is shown that the equations admit a class of invariant subspaces governed by the nonl... The inhomogeneous nonlinear diffusion equation is studied by invariant subspace and condi- tional Lie=Bgcklund symmetry methods. It is shown that the equations admit a class of invariant subspaces governed by the nonlinear ordinary differential equations, which is equivalent to a kind of higher=order conditional Lie-B^icklund symmetries of the equations. As a consequence, a number of new solutions to the inhomogeneous nonlinear diffusion equations are constructed explicitly or reduced to solving finite-dimensional dynamical sys- tems. 展开更多
关键词 inhomogeneous nonlinear diffusion equation invariant subspace conditional Lie-B/icklund sym-metry functionally generalized separable solution
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Partial convergence of heterogeneous Hegselmann-Krause opinion dynamics 被引量:2
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作者 SU Wei GU YaJuan +1 位作者 WANG Sha YU YongGuang 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2017年第9期1433-1438,共6页
In opinion dynamics,the convergence of the heterogeneous Hegselmann-Krause(HK) dynamics has always been an open problem for years which looks forward to any essential progress.In this short note,we prove a partial con... In opinion dynamics,the convergence of the heterogeneous Hegselmann-Krause(HK) dynamics has always been an open problem for years which looks forward to any essential progress.In this short note,we prove a partial convergence conclusion of the general heterogeneous HK dynamics.That is,there must be some agents who will reach static states in finite time,while the other opinions have to evolve between them with a minimum distance if all the opinions does not reach consensus.And this result leads to the convergence of several special cases of heterogeneous HK dynamics,including when the minimum confidence bound is large enough,the initial opinion difference is small enough,and so on. 展开更多
关键词 CONVERGENCE HETEROGENEOUS Hegselmann-Krause model opinion dynamics multi-agent systems
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Fracture analysis near the interface crack tip for mode Ⅰ of orthotropic bimaterial 被引量:2
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作者 YANG XiaoMei YANG WeiYang +1 位作者 LI JunLin ZHANG XueXia 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2013年第4期785-797,共13页
The mechanical behaviors near the interface crack tip for mode Ⅰ of orthotropic bimaterial are researched. With the help of the complex function method and the undetermined coefficient method, non-oscillatory field i... The mechanical behaviors near the interface crack tip for mode Ⅰ of orthotropic bimaterial are researched. With the help of the complex function method and the undetermined coefficient method, non-oscillatory field if the singularity exponent is a real number, and oscillatory field if the singularity exponent is a complex number are discussed, respectively. For each case, the stress functions are constructed which contain twelve undetermined coefficients and an unknown singularity exponent. Based on the boundary conditions, the system of non-homogeneous linear equations is obtained. According to the necessary and sufficient condition for the existence of solution for the system of non-homogeneous linear equations, the singularity exponent is determined under appropriate condition using bimaterial parameters. Both the theoretical formulae of stress intensity factors and analytic solutions of stress or displacement field near the interface crack tip are given. When the two orthotropic materials are the same, the classical results for orthotropic single material are deduced. 展开更多
关键词 interface crack for mode stress intensity factor STRESS DISPLACEMENT orthotropic bimaterial
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Semi-Global Stabilization via Homogeneous Output Feedback for a Class of Nonlinear Time-Delay Systems 被引量:1
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作者 WANG Pan CHAI Lin FEI Shumin 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2016年第6期1538-1552,共15页
The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogene... The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the sealing gain is adjusted such that the closed-loop system is semi-global asymptoti- cally stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper. 展开更多
关键词 Homogeneous domination approach Lyapunov-Krasovskii functional nonlinear time-delay systems output feedback semi-global.
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Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems 被引量:2
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作者 Yi ZHOU 11 Key Laboratory of Mathematics for Nonlinear Sciences,Ministry of Education,China Shanghai Key Laboratory for Contemporary Applied Mathematics School of Mathematical Sciences,Fudan University,Shanghai 200433,China. 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2011年第5期771-780,共10页
The author considers the Cauchy problem for quasilinear inhomogeneous hyperbolic systems.Under the assumption that the system is weakly dissipative,Hanouzet and Natalini established the global existence of smooth solu... The author considers the Cauchy problem for quasilinear inhomogeneous hyperbolic systems.Under the assumption that the system is weakly dissipative,Hanouzet and Natalini established the global existence of smooth solutions for small initial data (in Arch.Rational Mech.Anal.,Vol.169,2003,pp.89-117).The aim of this paper is to give a completely different proof of this result with slightly different assumptions. 展开更多
关键词 Cauchy problem Global classical solution Partially dissipativequasilinear hyperbolic system
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