Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals

It is well known that interval orders are particularly interesting in decision theory, since they are reflexive, complete and nontransitive binary relations which may be fully represented by means of two real-valued functions. In this paper, we discuss the existence of a pair of nonnegative, positively homogeneous and semicontinuous real-valued functionals representing an interval order on a real cone in a topological vector space. We recover as a particular case a result concerning the existence of a nonnegative, positively homogeneous and continuous utility functional for a complete preorder on a real cone in a topological vector space.     

Rank-based analysis of repeated measures block designs

A rank-based inference is developed for repeated measures balanced incomplete block and randomized complete block designs using a suitable dispersion function. Asymptotic distributions of rank estimators are developed after establishing approximate linearity of the gradient vector of the dispersion function. Unlike available nonparametric procedures for those designs, estimation and testing are tied together. Three different test statistics are developed for testing the linear hypotheses. Friedman's (1937) statistic and Durbin's (1951) statistic are particular cases of one of the three proposed statistics. An estimate of a scale parameter which appears in the ARE expression as well as as in the variences and covariances of the rank estimators is discussed.     

基于变量轮换法的支持向量机在隧道围岩变形预测中的应用

采用变量轮换法对支持向量机(SVM)参数进行优化处理，结合时间序列分析理论，建立起隧道围岩变形时间序列非线性模型，并以此对隧道围岩变形进行预测。结果表明：改进的支持向量机具有简单、方便、实时等特点，对围岩后续变形预报准确，可科学地指导现场监测和施工建设。     

基于支持向量机的传感器非线性误差校正

提出了一种用支持向量机校正传感器非线性误差的原理和方法。该算法只依据样本就可以正确辩识传感器逆模型特征,而不需关于逆模型函数形式的任何先验知识,并将原问题转化为一个凸二次优化问题,能够保证找到的极值解就是全局最优解,具有较好的泛化能力。通过对电容式湿敏传感器误差校正的应用表明:该算法可取得较好的效果。     

Bayesian Analysis of DSGE Models by S. An and F. Schorfheide

The paper that An and Schorfheide have written is an excellent piece of work and will become a useful reference for teaching and consultation purposes. The paper discusses in an articulate and convincing manner almost everything that one could think of covering in such a review. This makes the task of the commentator difficult. Nevertheless, I will attempt to add few insights on three issues which, in my opinion, play an important role in applied work and in the interpretation of the estimation result. In particular, I will discuss a) the sensitivity of posterior distributions to prior spreads; b) the effects of model misspecification and an approach to model respecification; c) parameter identification and its consequences for posterior inference.     

线性异或逻辑方程组和逻辑矩阵

线性异或逻辑方程组现有的求解方法均不适于用计算机求解。为此,本文引入了逻辑矩阵的概念。本文对逻辑矩阵、逻辑向量系的相关性、Cramer法则等进行了理论证明或分析。     

电磁矢量的菲涅耳公式

从电磁场理论推导了磁矢量的菲涅耳公式并提出了光的电磁矢量的菲涅耳公式,用电磁矢量诠释反射光、折射光的"半波损失",并从电磁矢量角度归纳洛埃镜实验和维纳驻波实验结果,分析了偏振现象.     

分子束矢量及其应用

本文摒弃了气体分子运动论中诸多不必要的简化假设，引入了分子束矢量的概念。应用分子束矢量解决问题简捷严谨并能避免出现“1/6与1/4”“2”等迷惑问题。     

异步电动机的矢量变换控制

本文利用转矩控制原理,提出了矢量变换,控制异步电动机的转速,使结构比较简单的异步电动机的调速性能可以与结构比较复杂的直流电动机媲美,从而达到降低成本,维修容易的目的.     

有限生成模糊向量子空间中标准向量组的求法

给出求有限生成模糊向量子空间中标准向量组的方法 .