对标准偏差估算公式选用的一种解释

针对用标准偏差估算公式对偏差的平方取平均值时为什么除n - 1而不除n(n为测量次数 )的问题 ,用数理统计学的观点作了数学证明 ,使工科物理实验课程在相关章节的讲授中有合理的解释     

A generalization of Esseen’s inequality for NA random variables

The generalization of Esseen’ s inequality for NA random variables under the relatively general conditions is discussed. These results are about the same as those of the independent variables.     

脆弱模型中可靠性函数的界

在对总体的生存分析中,样本个体异质性的引入便于解释随机影响,本文主要探讨了脆弱变量V的概率密度函数为一元函数时各密度函数的形式以及可靠性函数的界.     

化学势专题研讨

提出有关化学势在概念、状态函数阵中定位、极限定理和数值计算，以及在应用方面的新的理论构思。同时发现现行教材中的一些问题，加以探讨。     

解变量有上、下界限制的LP问题的一种新割平面法

针对变量有上、下界限制的LP问题，本文给出了求解此类问题的一种简易方法——割平面法，并以实例加以说明。     

勒贝格的数学发现与创造性思想方法

以实变函数论创立与发展的历史事实,对勒贝格的数学发现进行了分析,探讨了其创造性思想方法,提出了若干新观点.     

System identification and validation for output prediction of a dynamic hydrologic process

The paper presents an identification procedure for a dynamic model of am hydrologic process. The process involves solute transport in streams subject to aquifer interaction and unsteady flows and the intended use of the model is prediction. Detailed assumptions and results are provided to illustrate the level of comprehensive analysis required to assess model adequacy. The assessment procedure easily generalizes to any dynamic model which is linear-in-the-parameters. As a fundamental tool, instrumental variable algorithms can be adopted which have a number of attractive features. These algorithms make both model-order identification and specification among alternatives a straightforward task. They are known to be consistent estimators in the presence of a wide class of errors. It is seen that they can be made stable and robust in the presence of data outliers. Instrumental variable algorithms can also be used which are asymptotically efficient and provide a covariance matrix of parameter estimates. The paper shows how they aid the quantification of predictive uncertainty and investigates the validity of the underlying assumptions. Further, it illustrates that, when instrumental variable algorithms are used in recursive mode, they can be used not only as an additional tool to access model inadequacy but also as an aid to model improvements.     

A Reexamination of Methods of Hierarchic Composition in the AHP

1　 IntroductionHierarchic composition orpriority synthesis is an importantstep of the Analytic HierarchyProcess ( AHP) .The original method used in the AHP( Saaty,1977) to conducthierarchic composition is the weighted arithmetic mean.Since the weighted a…     

向量值多复变随机幂级数

引入了向量值多复变随机幂级数的定义，研究了它的收敛性质，它是Saem-Zygmund定理的推广，给出了向量值多复变随机幂级数属于Hardy空间和L^p空间的充分条件。     

量子态数分布

本文从量子态数分布出发,给出了近独立粒子系的热力学公式,从而形成了近独立粒子系统一的统计理论。