The residual effect of a growth-decay mechanism and the distributions of covariance structures

The product of two independent or dependent scalar normal variables, sums of products, sample covariances, and general bilinear forms are considered. Their distributions are shown to belong to a class called generalized Laplacian. A growth-decay mechanism is also shown to produce such a generalized Laplacian. Sets of necessary and sufficient conditions are derived for bilinear forms to belong to this class. As a generalization, the distributions of rectangular matrices associated with multivariate normal random vectors are also discussed.     

在位相空间中求解外力含时的受迫量子谐振子

运用广义线性量子变换理论 ,在位相空间中通过算子的代数运算求解外力含时的受迫谐振子 ,给出了演化算子、演化算子矩阵元和波函数的表示式 .     

On a Dualization of Graphical Gaussian Models: A Correction Note

Abstract.  We correct two proofs concerning Markov properties for graphs representing marginal independence relations.     

Multiple imputation of missing data with ante-dependence covariance structure

A controlled clinical trial was conducted to investigate the efficacy effect of a chemical compound in the treatment of Premenstrual Dysphoric Disorder (PMDD). The data from the trial showed a non-monotone pattern of missing data and an ante-dependence covariance structure. A new analytical method for imputing the missing data with the ante-dependence covariance is proposed. The PMDD data are analysed by the non-imputation method and two imputation methods: the proposed method and the MCMC method.     

Sobolev空间中非线性椭圆组的Riemann边值问题

本文研究平面非线性随圆型方程组的Riemann边值问题：在假设条件A1、A2、A3之下，我们证明了该问题存在唯一的解w（z）∈W1.,（■），1＜P＜＋∞     

Markov Properties for Acyclic Directed Mixed Graphs

We consider acyclic directed mixed graphs, in which directed edges ( x → y ) and bi-directed edges ( x ↔ y ) may occur. A simple extension of Pearl's d -separation criterion, called m -separation, is applied to these graphs. We introduce a local Markov property which is equivalent to the global property resulting from the m -separation criterion for arbitrary distributions.     

板模型具部分反射边界条件的迁移算子的渐近点谱及其聚点

研究非均匀介质、各向异性和连续能量的板模型迁移算子A在部分反射边界条件下的渐近点谱及其聚点.在F (1≤P< ∞)空间获得了算子A的渐近点谱以及谱聚点的分布等新的结果.     

增算子不动点定理及其应用

本文建立了若干新的增算子不动点存在定理,作为应用,作者研究了在Banach空间中一类含间断项Volterra积分方程解的存在性,我们的结果改进和推广了诸多已知结果。     

一个数据流查询系统的设计与实现

就目前大多数数据流查询处理过程中可能出现的一些问题，根据数据流处理的特点和要求，提出了新的查询处理结构，实现了数据共享及多流多查询环境下查询的处理．     

常系数齐次线性微分方程组与其相应的差分方程组之间的联系

给出了求解常系数线性齐次微分方程组和常系数线性齐次差分方程组的一个方法,指出了这两种方程组之间存在的一个有趣关系．