Construction of New Three-Level Response Surface Designs

Response surface methodology is widely used for developing, improving, and optimizing processes in various fields. In this article, we present a method for constructing three-level designs in order to explore and optimize response surfaces combining orthogonal arrays and covering arrays in a particular manner. The produced designs achieve the properties of rotatability, predictive performance and efficiency for the estimation of a second-order model.     

VARIANCE ESTIMATION IN NONPARAMETRIC MULTIPLE REGRESSION

ABSTRACT

We consider the variance estimation in a general nonparametric regression model with multiple covariates. We extend difference methods to the multivariate setting by introducing an algorithm that orders the design points in higher dimensions. We also consider an adaptive difference estimator which requires much less strict assumptions on the covariate design and can significantly reduce mean squared error for small sample sizes.     

缩短供应链多阶响应周期的物流模式研究

为了满足最终客户的多样化、及时化的需求,供应链的物流模式成了缩短供应链多阶响应周期的一个重要的研究领域。对比传统的物流模式,快速响应的供应链物流模式的主要改进点在制造商及其以下的节点企业的物流上。四种物流模式对于缩短供应链最终用户的响应周期有极大的意义和作用,它们是:基于制造商的直销模式、以批发商为改进点的零售支持型批发物流和区域零售支持型综合批发物流,以及以零售商为切入点的产销联盟的物流模式,并且它们各自不同的适用范围取决于供应链的运作特点和行业特征。     

浅谈社会发展的双重结构模式

探索适合于研究发展中国家的社会结构模式 ,从而突破单一结构模式的现代化理论的局限性是本文的主旨。运用分析和比较的方法 ,指出社会结构具有多重性、多层次性 ,发展中国家的社会结构具有独特性。发展中国家只有形成社会表层结构与社会深层结构良性互动的模式 ,才能保持结构张力 ,焕发社会活力 ,促进社会发展。     

激光散斑相位差的条件统计分布与表面粗糙度的关系

在粗糙表面高度起伏服从高斯统计和表面服从圆型相关的情况下，分析了由弱散射体产生的远场高斯激光散斑相位差的条件统计分布与表面粗糙度的关系．     

Optimal estimation of a finite population mean under generalized random permutation models

Employing certain generalized random permutation models and a general class of linear estimators of a finite population mean, it is shown that many of the conventional estimators are “optimal” in the sense of minimum average mean square error. Simple proofs are provided by using a well-known theorem on UMV estimation. The results also cover certain simple response error situations.     

Admissible minimum bias estimation of response surfaces

The minimum bias estimator was introduced as an alternative to the least squares estimator for approximating response functions by low-order polynomials. Here we show how to obtain an admissible estimator with smaller squared bias.     

Second-Order Response Surface Model with Neighbor Effects

This article considers the second-order response surface model in which the experimental units, i.e., plots experience the neighbor effects from immediate left and right neighboring plots assuming the plots to be placed adjacent linearly with no gaps. Conditions have been derived for the estimation of coefficients of second-order response surface model. A method of constructing designs for fitting second-order response surface in the presence of neighbor effects has been developed. The designs so obtained are found to be rotatable.     

弯曲液面的临界光反射现象

实验中发现了弯曲液面的临界光反射现象,并采集到清晰的、对比度高的弯曲液面临界反射图样。在激光束斜入射的情况下,弯曲液面临界反射的图样中,有一椭圆状暗场,暗场附近区域有明亮清晰的条纹。根据几何光学的分析,解释了这一临界光反射现象。     

双曲率面光线追迹公式及应用

本文提出了用牛顿迭代法计算光线与双曲率面的交点,并给出了具体的计算公式。文中还认为可以利用双曲率面来描述存在着局部变形的球面光学零件,为制定光学零件的公差提供了依据。