区间多项式的鲁棒稳定性

本文首先给出了一种新的判定多项式稳定的充要条件（引理2.1）.然后,在此基础上,研究了区间多项式的鲁棒稳定性,得到了若干判别区间多项式的充分条件（定理2.2-定理2.3）.由于所得的摄动界完全可由原末被扰动的多项式的系数所决定,这使得本文的方法比现有的结果简单好用.文末的例子说明了本文方法的有效性.     

Estimation for Entropy and Parameters of Generalized Bilal Distribution under Adaptive Type II Progressive Hybrid Censoring Scheme

Entropy measures the uncertainty associated with a random variable. It has important applications in cybernetics, probability theory, astrophysics, life sciences and other fields. Recently, many authors focused on the estimation of entropy with different life distributions. However, the estimation of entropy for the generalized Bilal (GB) distribution has not yet been involved. In this paper, we consider the estimation of the entropy and the parameters with GB distribution based on adaptive Type-II progressive hybrid censored data. Maximum likelihood estimation of the entropy and the parameters are obtained using the Newton–Raphson iteration method. Bayesian estimations under different loss functions are provided with the help of Lindley’s approximation. The approximate confidence interval and the Bayesian credible interval of the parameters and entropy are obtained by using the delta and Markov chain Monte Carlo (MCMC) methods, respectively. Monte Carlo simulation studies are carried out to observe the performances of the different point and interval estimations. Finally, a real data set has been analyzed for illustrative purposes.     

A Characterization of Mixed Unit Interval Graphs

We give a complete characterization of mixed unit interval graphs, the intersection graphs of closed, open, and half‐open unit intervals of the real line. This is a proper superclass of the well‐known unit interval graphs. Our result solves a problem posed by Dourado, Le, Protti, Rautenbach, and Szwarcfiter (Mixed unit interval graphs, Discrete Math 312, 3357–3363 (2012)).     

双重广义线性模型的经验似然推断

基于截面经验似然方法,将双重广义线性模型的拟似然估计方程作为截面经验似然比函数的约束条件,构造了均值模型和散度模型未知参数的置信区间.最后通过数据模拟,将该方法与正态逼近方法比较,说明了该方法是有效和可行的.     

Cooperative grey games and the grey Shapley value

This contribution is located in the common area of operational research and economics, with a close relation and joint future potential with optimization: game theory. We focus on collaborative game theory under uncertainty. This study is on a new class of cooperative games where the set of players is finite and the coalition values are interval grey numbers. An interesting solution concept, the grey Shapley value, is introduced and characterized with the properties of additivity, efficiency, symmetry and dummy player, which are straightforward generalizations of the corresponding properties in the classical cooperative game theory. The paper ends with a conclusion and an outlook to future studies.     

关于模糊数贴近度问题的研究

利用模糊集和区间数的贴近度理论,讨论了模糊数的贴近度问题.通过区间数与模糊数之间的关系,根据区间数贴近度的一般表示形式,给出了构造一些模糊数贴近度的具体计算公式的方法;并通过实例说明了所得到的贴近度公式的有效性和实用性,解决了常用贴近度公式所不能解决的问题.     

Asymptotic analysis of integral equations for a great interval and its application to stellar radiative transferAnalyse asymptotique d'une équation intégrale sur un grand intervalle et son application au transfert radiatif stellaire

We consider the integral form of the radiative transfer equation over a large interval. This equation describes the radiative transfer of energy in a star. The asymptotic expansion of the solution is constructed and justified. The method of asymptotic partial decomposition of domain is applied. Numerical results are discussed. To cite this article: G. Panasenko et al., C. R. Mecanique 330 (2002) 735–740.     

区间B样条小波薄壳截锥单元构造

利用区间B样条小波的尺度函数作为有限元插值函数,从轴对称壳的能量泛函出发,由变分原理导出了单元刚度矩阵和载荷列阵,构造了区间B样条小波薄壳截锥单元.区间B样条小波单元同时具有B样条函数数值逼近精度高和多种用于结构分析的变尺度基函数的特点.数值算例表明:与传统截锥单元相比,本文构造的小波单元具有求解精度高、单元数量和自由度少等优点.     

露天矿台阶爆破合理微差间隔时间的研究与应用

本文介绍了应用高速摄影结果建立的合理微差间隔时间的数学模型,以及通过现场和室内模报试验进行验证的结果,最终结合爆破地震模拟的方法,确定了水厂铁矿台阶爆破的合理微差间隔时间。     

有界参数结构特征值的上下界定理

与方法近似性的结构特征值包含定理不同,给出参数近似性的结构的特征值上下界定理．在结构刚度矩阵和质量矩阵可以利用结构参数进行非员分解的条件下,通过区间分析,将特征值的上下界分解成两个广义特征值问题进行求解．结果可以看成是胡海昌教授的特征值质量包含定理和刚度包含定理在结构参数近似性特征值问题中的一种推广和应用．