Testing Lack-of-fit for a Polynomial Errors-in-variables Model

When a regression model is applied as an approximation of underlying model of data, the model checking is important and relevant. In this paper, we investigate the lack-of-fit test for a polynomial error-in-variables model. As the ordinary residuals are biased when there exist measurement errors in covariables,we correct them and then construct a residual-based test of score type. The constructed test is asymptotically chi-squared under null hypotheses. Simulation study shows that the test can maintain the significance level well.The choice of weight functions involved in the test statistic and the related power study are also investigated.The application to two examples is illustrated. The approach can be readily extended to handle more general models.     

（h，φ）-不变广义凸函数的若干性质与（h，φ）-不变广义凸多目标规划的最优性及对偶性

研究了Ben-Tal广义代数运算的若干性质，引进了(h，φ)-不变广义凸函数的概念，讨论了(h，φ)-不变广义凸函数的若干性质，给出了(h，φ)-不变广义凸半无限多目标规划取得有效解(或弱有效解)的充分条件，建立了(h，φ)-不变广义凸多目标规划的Lagrange对偶理论。     

L^2空间中的Bernstein—Markov不等式及其最佳常数

1 引言 设-∞≤a相似文献   

特殊向量丛的存在定理

本文给出紧 Riemann 曲面上特殊不可分解向量丛的一个存在定理和特殊单向量丛、特殊稳定向量丛存在假设的一个反例及2维特殊稳定向量丛的一个存在定理.     

广义相对论的珍宝

 从前人们的生活很简单,科学不发达,要跟上物理发展的步伐并不难。今天要做到这一点,对我们大多数人来说,把全部精力和时间都投进去也是不够的。总之,我抓住这条理由,来辩解为什么没有对广义相对论在它从一种鉴赏品发展到一门硬科学的过程中给予关注。     

北京自由电子激光Wiggler中电子轨迹偏离的改进

提出了一种从实验上确定用于北京自由电子激光（ＢＦＥＬ）装置的Ｗｉｇｇｌｅｒ中ＮｄＦｅＢ矩形磁块的轨迹敏感系数β的方法．用β值来表征磁单块在Ｗｉｇｇｌｅｒ中对电子轨迹的贡献，并用此β值对磁块进行挑选，优化组合，可达到改进Ｗｉｇｇｌｅｒ对电子轨迹偏离的目的．     

一类基于变量分离的稳定化混合有限元方法

Based on a seperated model for saddle-point problems, we develop a new sta-bilized mixed finite element method. Such a model consists of two subproblems with respect to the primal and the dual variables, respectively. We show that the new method is coercive and that optimal error bounds hold. As an application,the nearly incompressible elastic problem is analyzed with our method.     

凸序列不等式的控制证明

利用控制不等式理论简洁地证明了一类凸序列不等式 (包括著名的 Nanson不等式的几个推广 ) ,并给出若干应用 .     

On the Nonexistence of Laurent Polynomial First Integrals for General Semi－quasihomogeneous Systems

An autonomous system of ODFs which admitting a quasi-homogeneous group of symmetries is called a quasihomogeneous one.     

Invariant Tori and Boundedness in Asymmetric Oscillations

In this paper,we are concerned with the boundedness of all the solutions of the equation x″ ax^ -bx- Ф(x)=p(t),where p(t) is a smooth 2π-periodic function,a and b are positive constants,and the perturbation Ф(x) is bounded.