二阶非线性微分方程解的振动性和渐近性

讨论了二阶非线性常微分方程(α(t)(?)(x)x′)′+q(t)f(x)=r(t)的解的振动性和渐近性.获得了有关该方程的五个新的定理.     

形式美感:从正常形式到超常形式

视觉艺术的形式美感研究是对美术本体的研究 ,它分为不同质的三个层次 ,即正常形式、反常形式和超常形式。“正常形式”具有自然真实、传统规范和流行图式的结构性特征 ,这是一个基础平台。“反常形式”是对正常形式的解构 ,需要发散思维 ,探索尽可能多的形式可能性 ,这是思维方式和审美趣味的转折点。“超常形式”是对反常形式和正常形式的个人化整合 ,目标是重构“个人化的超常形式” ,占据视觉艺术的制高点     

网络零售配送系统最优运作成本的分析

针对配送运作成本关键部分棗平均运距作出的估计,在车辆路径问题渐进最优理论的基础上,建立了一个平均运作成本最优的规划模型,从经济的角度对运作策略作了简要分析。与其他规划模型不同,新建模型考虑了平均水平的概率特性及众多实际因素,因而具有较好的实用性。     

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.     

Book Reviews

Books reviewed:
R.J. Adler, R.E. Feldman & M.S. Taqqu, A Practical Guide to Heavy Tails: Statistical Techniques and Applications.
J.J. Foste, A Beginner's Guide to Data Analysis Using SPSS for Windows.
N. Limnios and G. Oprisan, Semi–Markov Processes and Reliability.     

Confidence Intervals for Current Status Data

Abstract.  The likelihood ratio statistic for testing pointwise hypotheses about the survival time distribution in the current status model can be inverted to yield confidence intervals (CIs). One advantage of this procedure is that CIs can be formed without estimating the unknown parameters that figure in the asymptotic distribution of the maximum likelihood estimator (MLE) of the distribution function. We discuss the likelihood ratio-based CIs for the distribution function and the quantile function and compare these intervals to several different intervals based on the MLE. The quantiles of the limiting distribution of the MLE are estimated using various methods including parametric fitting, kernel smoothing and subsampling techniques. Comparisons are carried out both for simulated data and on a data set involving time to immunization against rubella. The comparisons indicate that the likelihood ratio-based intervals are preferable from several perspectives.     

一类两个相同部件并联的可修系统的稳定性

研究一类两个相同部件并联的可修系统．使用泛函分析方法，特别是Banach空间上的线性算子理论，证明了严格占优本征值的存在性，以及系统解的渐近稳定性，线性稳定性和指数稳定性．     

Approximation of density functions by orthogonal series with grouped data

Summary Letg(x) andf(x) be continuous density function on (a, b) and let {ϕ_j} be a complete orthonormal sequence of functions onL ₂(g), which is the set of squared integrable functions weighted byg on (a, b). Suppose that over (a, b). Given a grouped sample of sizen fromf(x), the paper investigates the asymptotic properties of the restricted maximum likelihood estimator of density, obtained by setting all but the firstm of the ϑ_j’s equal to0. Practical suggestions are given for performing estimation via the use of Fourier and Legendre polynomial series. Research partially supported by: CNR grant, n. 93. 00837. CT10.     

Fuzzy格上的Urysohn度量化定理

当Ｌ是Ｆｕｚｚｙ格时,证明了一个ＣⅡ拓扑分子格（Ｌ,η）可点式ｐ．度量化当且仅当其是正则的;可点式度量化当且仅当其是正则Ｔ１的．     

Estimation for Continuous Branching Processes

The maximum-likelihood estimator for the curved exponential family given by continuous branching processes with immigration is investigated. These processes originated from population biology but also model the dynamics of interest rates and development of the state of technology in economics. It is proved that in contrast to branching processes with discrete space and/or time the MLE gives a unified approach to the inference. In order to include singular subdomains of the parameter space we modify the MLE slightly. Consistency and asymptotic normality for the MLE are considered. Concerning the asymptotic theory of the experiments, all three properties LAQ, LAN, and LAMN occur for different submodels