应力为复合x~2-更新过程时结构可靠度的一致估计

本文讨论强度为随机变量X,应力为复合x2-更新过程Y（t）的半随机过程可靠性模型的结构可靠度一致估计问题．获得在设计基准期[0,T]内结构可靠度表达式和结构可靠度的一致估计．     

正态—复合Weibull过程模型结构可靠性当量正态设计

本文讨论强度R～N(μR,σ_R~2),应力为{S(t),t∈[0,T]}为复合Weibull过程模型结构可靠性当量正态设计,获得应力在设计基准期[0,T]内的最大值概率分布及统计参数估计,正态—复合Weibull过程模型结构可靠度和结构可靠性当量正态设计表达式。     

应力为复合χ^2—更新过程时结构可靠度的一致估计

本文讨论强度为随机变量Ｘ,应力为复合χ＾２－更新过程Ｙ（ｔ）的半随机过程可靠性模型的结构可靠度一致估计问题。获得在设计基准期［０,Ｔ］内结构可靠度表达式和结构可靠度的一致估计。     

应力S(t)为复合χ^2更新过程时结构可靠度渐近正态估计

该文讨论强度为随机变量X,应力为复合χ２ 更新过程｛Y（t）,t∈ ［０,T］｝时结构可靠度的渐近正态性问题．获得在设计基准期［０,T］内结构可靠度表达式和结构可靠度渐近正态估计．     

利用Weibull分布对飞机某部件的金属材料的疲劳寿命的可靠性估计

本文在Weibull分布下对飞机的某关键部件的金属材料的疲劳寿命进行可靠性估计。并给出了部分可靠度和可靠寿命的估计结果．     

应力S(t)为复合x~2-更新过程时结构可靠度渐近正态估计

该文讨论强度为随机变量Ｘ　应力为复合ｘ２－更新过程｛Ｙ（ｔ）,ｔ ∈［０,Ｔ］｝时结构可靠度的 渐近正态性问题．获得在设计基准期［０,Ｔ］ 内结构可靠度表达式和结构可靠度渐近正态估计．     

正态—平稳二项过程模型结构可靠度的最小方差无偏估计

本文讨论强度随机变量Ｘ服从正态分布,应力｛Ｙ（ｔ）,ｔ∈［０,Ｔ］｝为平稳二项随机过程模型结构可靠度的最小方差无偏估计．     

由 Weibull 子系统数据综合的系统可靠度的置信下界限

§1.前言以往对系统可靠度的置信区间估计方法,主要是利用各个子系统的寿命试验的数据,通过系统的可靠性结构模型,进行可靠性综合的方法来得到系统可靠度的置信区间估计.关于这方面的若干情况可参阅文章[1]的概况介绍.从所查阅到的文献来看,主要是各子系统的寿命试验数据为成败型的或是指数分布类型的情况,至于各子系统的寿命分布是Weibull 分布的情况的文章较少,主要原因是,问题解决的困难和计算上产生的困难等,甚至于无法计算,不得不采用 Monte-Carlo 方法.本文中所讨论的问题,是 Weibull 子系统的情况,其方法的计算困难程度可以得到改善.     

缺失数据下WEIBULL分布的统计推断

本文给出了定数截尾缺失数据下Weibull分布参数的点估计和区间估计以及可靠度、失效率的置信限。     

通用系统模糊可靠度计算模型

对系统组成单元的含义作了新的定义,建立了单元模糊可靠度及其置信区间的估计模型;建立了常见通用系统的模糊可靠度估计模型;通过对单元模糊可靠度的直接估计,利用所建立的估计模型可以快速方便地预测出系统的模糊可靠度.实例分析给出了估计模型的使用方法,并显示了模型的有效性.     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.