连续时间下非参数回归模型的误差密度估计

本文研究连续时间下非参数回归的误差密度估计问题，给出误差密度的一个核估计量，利用回归函数的核估计在紧区间上一致均收敛的结论证明了该统计量渐近无偏差，均方相合法，并说明了该核估计中窗宽选取的办法。  

全球供应链数量折扣与退货组合契约研究

针对不依赖于价格的不确定需求，建立了全球供应链数量折扣与退货组合契约模型。除考虑一国国内供应链的契约参数外，模型中还考虑了全球供应链的汇率、国际运输成本分担比例、关税等因素。通过模型分析，得到数量折扣与退货组合契约实现全球供应链协调时组合契约参量应满足的关系。通过实例分析发现：数量折扣与退货组合契约和单纯的退货契约均可实现全球供应链的协调；当运输成本分担比例确定时，相对于单纯的退货契约，数量折扣与退货组合契约有更多的决策方案可以实现全球供应链的协调，在决策和利润分配时具有更大的灵活性。  

Robustness of F-tests in singular linear models

F-test is the most popular test in the general linear model. However, there is few discussions on the robustness of F-test under the singular linear model. In this paper, the necessary and sufficient conditions of robust F-test statistic are given under the general linear models or their partition models, which allows that the design matrix has deficient rank and the covariance matrix of error is a nonnegative definite matrix with parameters. The main results obtained in this paper include the existing findings of the general linear model under the definite covariance matrix. The usage of the theorems is illustrated by an example.  

含有压缩因子的粒子群优化灰色模型在智能电网中的应用

针对智能电网对用电量预测的需求和电力系统的负荷特性,在分析了灰色模型GM(1,1)的局限性以及基本粒子群算法在优化GM(1,1)背景值时所出现的不足的基础上,构建了具有压缩因子K的粒子群算法,以此来改进灰色模型的背景值,提出了含有压缩因子的粒子群优化灰色模型KPSO-GM,并把它用于智能电网中用电量预测。实例证明,该算法具有较高的预测精度,有利于提高智能电网的质量。  

一类新的求解P_*(κ)阵线性互补问题的多项式内点算法

利用核函数及其性质,对P_*(k)阵线性互补问题提出了一种新的宽邻域不可行内点算法.对核函数作了一些适当的改进,所以是不同于Peng等人介绍的自正则障碍函数.最后证明了算法具有近似O((1+2k)n3/4log(nμ~0)/ε)多项式复杂性,是优于传统的基于对数障碍函数求解宽邻域内点算法的复杂性.  

The Equivalence between Property (ω) and Weyl’s Theorem

We call T ∈ B(H) consistent in Fredholm and index (briefly a CFI operator) if for each B ∈ B(H),T B and BT are Fredholm together and the same index of B,or not Fredholm together.Using a new spectrum defined in view of the CFI operator,we give the equivalence of Weyl’s theorem and property (ω) for T and its conjugate operator T* .In addition,the property (ω) for operator matrices is considered.  

A smoothing Newton method for mathematical programs constrained by parameterized quasi-variational inequalities

We consider a class of mathematical programs governed by parameterized quasi-variational inequalities(QVI).The necessary optimality conditions for the optimization problem with QVI constraints are reformulated as a system of nonsmooth equations under the linear independence constraint qualification and the strict slackness condition.A set of second order sufficient conditions for the mathematical program with parameterized QVI constraints are proposed,which are demonstrated to be sufficient for the second o...  

具有捕食者相互残杀项时滞系统的Hopf分支

研究了具有捕食者相互残杀项的时滞系统的Hopf分支,通过选择时滞作为一个分支参数,研究了正平衡点的稳定性和正周期解的Hopf分支.而且通过应用规范型和中心流形的理论,得出了确定分支方向的明确的算法.  

Solvability of finite groups

H is called an ℳ _p -embedded subgroup of G, if there exists a p-nilpotent subgroup B of G such that H _p ∈ Syl _p (B) and B is ℳ _p -supplemented in G. In this paper, by considering prime divisor 3, 5, or 7, we use ℳ _p -embedded property of primary subgroups to investigate the solvability of finite groups. The main result is follows. Let E be a normal subgroup of G, and let P be a Sylow 5-subgroup of E. Suppose that 1 < d ⩽ |P| and d divides |P|. If every subgroup H of P with |H| = d is ℳ₅-embedded in G, then every composition factor of E satisfies one of the following conditions: (1) I/C is cyclic of order 5, (2) I/C is 5′-group, (3) I/C ≅ A₅.