Semiparametric ROC surface estimation for continuous diagnostic tests via polytomous logistic regression procedures

In this paper, we propose a semiparametric method of estimating receiver operating characteristic (ROC) surfaces for continuous diagnostic tests under density ratio models. Implementation of our method is easy since the usual polytomous logistic regression procedures in many statistical software packages can be employed. A simulated example is provided to facilitate the implementation of our method. Simulation results show that the proposed semiparametric ROC surface estimator is more efficient than the nonparametric counterpart and the parametric counterpart whether the normality assumption of data holds or not. Moreover, some simulation results on the underlying semiparametric distribution function estimators are also reported. In addition, some discussions on the proposed method as well as analysis of a real data set are provided.     

Stereological formulas for stationary surface processes

In the paper surface processes are considered, i.e. sets of surfaces distributed at random in the space. For translation invariant surface processes the PALM distribution of the direction of the normal in a typical surface point is defined and related to two roses of intersection. Fibre and point processes are studied which result by intersections with planes and lines respectively. For these processes stereological formulas are proved which connect some quantities with such of the surface process. As a special ease motion invariant, i.e. translation invariant and isotropic, surface processes are treated, Furthermore, weighted surface processes are considered.     

A Shiny Update to an Old Experiment Game

ABSTRACT

Games can be a powerful tool for learning about statistical methodology. Effective game design involves a fine balance between caricature and realism, to simultaneously illustrate salient concepts in a controlled setting and serve as a testament to real-world applicability. Striking that balance is particularly challenging in response surface and design domains, where real-world scenarios often play out over long time scales, during which theories are revised, model and inferential techniques are improved, and knowledge is updated. Here, I present a game, borrowing liberally from one first played over 40 years ago, which attempts to achieve that balance while reinforcing a cascade of topics in modern nonparametric response surfaces, sequential design, and optimization. The game embeds a blackbox simulation within a shiny app whose interface is designed to simulate a realistic information–availability setting, while offering a stimulating, competitive environment wherein students can try out new methodology, and ultimately appreciate its power and limitations. Interface, rules, timing with course material, and evaluation are described, along with a “case study” involving a cohort of students at Virginia Tech. Supplementary materials for this article are available online.     

高性能纤维的低温等离子体表面改性

本文介绍了用于纤维材料的低温等离子体表面改性技术,并对其在高性能纤维表面粘着性改善中的应用进行论述。     

曲线、曲面的可控修形研究

目前,曲线、曲面的计算机辅助设计已广泛地应用于工程实际中,但是对已生成的曲线、曲面进行修改的研究还较少。文章针对现存软件的不足,研究了曲线、曲面的修改。通过修改曲线、曲面的参数,可快速得到所期望的曲线、曲面形状。此研究是用C语言实现其算法的。     

中国分县地形起伏度及其与人口分布和经济发展的相关性

地形条件是影响区域人口分布和社会经济发展的主要因子之一。中国的县域地形起伏度呈西高东低、南高北低的空间格局,且以低值为主,50%以上的县域单元地形起伏度在1以下(绝对起伏不超过1 000m),较好地表达了我国地形呈三级阶梯分布的空间特征。2005年全国70%以上的人口居住在地形起伏度小于1的县域,经济发展向低起伏度地区明显集中,地形起伏度在1以下县域的GDP占2005年国内生产总值的85.41%,相对于人口分布,经济发展向低起伏度地区集中的趋势更加明显。     

A Bayesian hierarchical approach to dual response surface modelling

In modern quality engineering, dual response surface methodology is a powerful tool to model an industrial process by using both the mean and the standard deviation of the measurements as the responses. The least squares method in regression is often used to estimate the coefficients in the mean and standard deviation models, and various decision criteria are proposed by researchers to find the optimal conditions. Based on the inherent hierarchical structure of the dual response problems, we propose a Bayesian hierarchical approach to model dual response surfaces. Such an approach is compared with two frequentist least squares methods by using two real data sets and simulated data.     

线接触共轭曲面的类复向量矩阵算法

提出并利用类复向量矩阵方法计算线接触共轭曲面方程,只利用一个类复向量矩阵公式就完成全部坐标变换,消除了传统方法的多次坐标变换,使计算过程成倍简化.     

高压旋喷桩在隧道洞顶地表和洞口基地加固中的应用

当前我国大力发展西南地区客运专线项目建设,该地区属云贵高原,山高坡陡,线路设计隧道所占比例较大,沪昆项目隧道所占比例接近70%。隧址区存在地质复杂、地形多变、隧道进出口多存在浅埋、偏压及软弱围岩、洞口基地软基等地质危害,利用高压旋喷桩施工技术对隧道洞口洞顶及基地进行加固,为安全进洞施工及明洞施工提供了安全保证,其中明洞段软基处理可以尽早防治线路工程下沉、冒泥、弹簧土等严重危害运营安全的工程病害。     

特殊多层结构中电磁波传播特性研究

对各向异性导体-介质-等离子体特殊多层结构中电磁波的传播特性进行了研究。通过理论推导得到了该结构中的色散方程;并通过计算机计算,给出了色散曲线。研究了该结构中是否存在金属网层对色散曲线的影响,证明了金属网层对电磁波的耦合作用,使慢波和等离子体表面波结合产生了慢等离子体表面波。分析了金属网角度、介质厚度和介电常数对色散的影响。