威布尔分布场合下进步应力加速寿命试验的统计分析

本文对寿命分布为两参数威布尔分布,加速模型为逆幂律的情况,由定数截尾步进应力加速寿命试验数据获得加速模型中未知参数的点估计和区间估计,进而给出了加速系数的区间估计,并用一个模拟例子说明方法的应用。     

指数模型步进应力加速寿命试验的区间估计

本文对寿命分布为指数分布的情形，对逆幂律模型，由步进应力加速寿命试验所获得的数据，给出了逆幂律型中未加参数的区间估计，从而可得到在实际应用所需的加速系数的区间估计。     

幂律-威布尔模型下简单步进应力加速寿命试验的区间估计

对寿命分布为威布尔分布, 加速方程为逆幂律的情况,由简单步进应力加速寿命试验所获得的数据, 给出了有关参数和加速系数的点和区间估计,并论证了这种估计的存在和唯一性.     

幂律一威布尔模型下简单步进应力加速寿命试验的区间估计

对寿命分布为威布尔分布,加速方程为逆幂律的情况,由简单步进应力加速寿命试验所获得的数据,给出了有关参数和加速系数的点和区间估计,并论证了这种估计的存在和唯一性．     

幂律一威布尔模型下简单步进应力加速寿命试验的区间估计

对寿命分布为威布尔分布,加速方程为逆幂律的情况,由简单步进应力加速寿命试验所获得的数据,给出了有关参数和加速系数的点和区间估计,并论证了这种估计的存在和唯一性.     

Gamma恒定应力加速寿命试验的统计分析

证明了基于恒定应力加速寿命试验数据Gamma模型参数的最大似然估计在一定条件下存在,进而导出了Gamma模型参数的备择估计.利用Cornish-Fisher展开导出了Gamma形状参数的近似置信区间,另外也给了Gamma模型的其它参数和正常应力水平下产品寿命的一些重要可靠性指标的广义置信区间.利用模拟方法研究了所给点估计和区间估计的精度,模拟结果显示所给点估计和区间估计的精度是相当好的.     

对数正态分布步进应力加速寿命试验的统计分析

对数正态分布产品,在步进应力下做加速寿命试验,而加速方程满足逆幂律模型,给出有关参数的点估计和区间估计.     

加速方程有偏场合下加速寿命试验的稳健设计

考虑在加速寿命试验中,当假定的加速模型不是转化应力的线性模型时,模型参数的极大似然估计的近似分布。研究在一定的条件下,获得正常应力下寿命分布的p分位寿命估计的最优稳健设计方法。并通过数值例子说明方法的有效性。     

幂律-威布尔模型下序进应力和恒定应力组合寿命试验的统计分析

对幂律－威布尔模型,利用一组序进应力加速寿命试验数据和另一组恒定应力加速寿命试验数据给出了参数的点估计和区间估计,并且一个实用例说明方法的应用。     

混合加速寿命试验模型及其统计分析

本文结合序进应力加速寿命试验和恒定应力加速寿命试验提出了一种混合加速寿命试验,讨论了这种加速寿命试验的模型及其在寿命分布为指数分布和对数正态分布时的参数估计,导出了参数的最大的似然估计。     

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.     

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.     

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.     

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     

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     

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).     

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.     

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.