具有四对特殊方向的一类平面齐五次系统的全局拓扑结构

通过研究一类具有四对特殊方向的平面齐五次系统的无穷远奇点的结构和过唯一有限远奇点O(0,0)的射线的类型,得出其全局拓扑分类及相应的系数条件.     

A Diagnostic Method for Principal Components Tests

The local influence method is adapted to testing hypotheses about principal components for investigating the influence of observations on the test statistic. Simultaneous perturbations on all observations are considered. The main diagnostic is the direction vector of the maximum slope of the surface formed by the perturbed test statistic. A perturbation is constructed whose result is the same as that of the influence function method. An example is given for illustration.     

Local influence for incomplete data models

This paper proposes a method to assess the local influence in a minor perturbation of a statistical model with incomplete data. The idea is to utilize Cook's approach to the conditional expectation of the complete-data log-likelihood function in the EM algorithm. It is shown that the method proposed produces analytic results that are very similar to those obtained from a classical local influence approach based on the observed data likelihood function and has the potential to assess a variety of complicated models that cannot be handled by existing methods. An application to the generalized linear mixed model is investigated. Some illustrative artificial and real examples are presented.     

A note on the asymptotic distribution of the maximum likelihood estimator for the scalar skew-normal distribution

We consider likelihood based inference for the parameter of a skew-normal distribution. One of the problems shown by this model is the singularity of the Fisher information matrix when skewness is absent. We derive the rate of convergence to the asymptotic distribution of the maximum likelihood estimator and study an alternative parameterization which overcomes problems related to the singularity of the information matrix.     

微扰理论及其应用研究进展

微扰理论是统计热力学中重要的方法体系，该文在简要说明微扰理论的基础上，重点概述了自由能微扰法应用于药物分子设计中的原理、方法等应用研究，同时扼要介绍了微扰理论在化学其它领域中的应用。     

非线性m点奇异边值问题的正解

在超线性和次线性条件下利用锥上不动点定理得到了一类m点奇异边值问题正解的存在性结果.     

介质切伦可夫脉塞的线性理论

利用自洽线性场理论，在有无纵向引导磁场的情况下，分别分析了电子的三维扰动速度和三维扰动电流密度对介质切伦可夫脉塞注波互作用的影响，导出了其色散方程和注波工作用的同步条件，所得方程清楚地表明，其互作用不稳定性是由介质简慢波波导中的ＴＭ模与电子注模通过电子注耦合所致，并求得了电子注引起的频偏和波的增长率。     

Multivariate hypothesis testing using generalized and {2}-inverses – with applications

The use of generalized inverses in Wald's-type quadratic forms of test statistics having singular normal limiting distributions does not guarantee to obtain chi-square limiting distributions. In this article, the use of {2} -inverses for that problem is investigated. Alternatively, Imhof-based test statistics can also be defined, which converge in distribution to weighted sum of chi-square variables. The asymptotic distributions of these test statistics under the null and alternative hypotheses are discussed. Under fixed and local alternatives, the asymptotic powers are compared theoretically. Simulation studies are also performed to compare the exact powers of the test statistics in finite samples. A data analysis on the temperature and precipitation variability in the European Alps illustrates the proposed methods.