Conditions for fourth order rotatability in K dimensions

In this paper, conditions for a set of points to form a rotatable design of order four have been worked out. These condi- tions form the basis for obtaining a set of rotatable designs of order four.     

SAR的海洋遥感探测技术综述

从研究SAR的海洋遥感探测重要性和基本特点出发,概述了SAR系统的海洋遥感探测技术所涉及的主要研究内容,针对海洋环境要素分布的随机性和时变性,研究了海面微波散射特性和SAR的海面成像机理,给出了研究结果;分析了SAR系统主要特点,提出研究包括系统的宽测绘带特性和雷达的弱信号获取、海面精确成像算法和时空相关性等方面;同时探讨了海洋目标检测的技术途径,以满足SAR系统海洋观测应用的需要.     

沟槽面在湍流减阻中的技术研究及应用进展

针对长输管道中存在的能源消耗问题，分别从湍流边界层流动特性、拟序结构、条带结构、转捩等方面归纳了沟槽面湍流减阻的国内外研究现状，讨论了沟槽的几何形状和尺度、流场压力梯度、沟槽面放置方式对沟槽减阻效能的影响。对沟槽面的减阻机理进行了综述，分析了存在的问题。指出需要利用先进的实验技术如PIV等图像处理手段,并结合计算流体力学软件对湍流边界层的瞬时流场进行研究，以找出沟槽面湍流减阻的机理。数值模拟了在平板中部横向布置的下凹沟槽的流场情况，得到了一种小涡流动结构，同时验证了这种结构在减阻中的作用，阐述了对减阻的另一种认识,并对沟槽面湍流减阻技术及其工业利用进行了展望。     

Minimization of model inadequacy when observations subject to shift in means and variances

In this article optimality of experimental design for fitting a lower-order polynomial to a higher order response function for the situation in which observations may be subject to shift in means as well as in variances is considered. It is found that Karson, Manson and Hader‘s (1969) optimum designs provide pro-tection, in some sense, against model inadequacies even when observations are subject to shift in means and variances.     

A simpler way of obtaining non-sIngularity conditions of rotatability

In response surface designs, it is not usually easy to handle the moment matrix X'X, especially for higher orders. This paper presents a method in which the moment matrix of a response surface of any order can be standardized, i.e., X'X splits into a diagonal matrix consisting of sub-matrices of lower order. This eases the calculation of the determinant and the inverse of X'X. The method has been illustrated with applications to second, third and fourth order response surfaces.     

Bayesian credible intervals for response surface optima

In response surface methodology, one is usually interested in estimating the optimal conditions based on a small number of experimental runs which are designed to optimally sample the experimental space. Typically, regression models are constructed from the experimental data and interrogated in order to provide a point estimate of the independent variable settings predicted to optimize the response. Unfortunately, these point estimates are rarely accompanied with uncertainty intervals. Though classical frequentist confidence intervals can be constructed for unconstrained quadratic models, higher order, constrained or nonlinear models are often encountered in practice. Existing techniques for constructing uncertainty estimates in such situations have not been implemented widely, due in part to the need to set adjustable parameters or because of limited or difficult applicability to constrained or nonlinear problems. To address these limitations a Bayesian method of determining credible intervals for response surface optima was developed. The approach shows good coverage probabilities on two test problems, is straightforward to implement and is readily applicable to the kind of constrained and/or nonlinear problems that frequently appear in practice.     

Cutting Experimental Designs into Blocks

Most experimental material in agriculture and industry is heterogeneous in nature and therefore its statistical analysis benefits from blocking. Many experiments are restricted in time or space, and again blocking is useful. This paper adopts the idea of orthogonal blocking of Box & Hunter (1957) and applies it to optimal blocking designs. This approach is then compared with the determinant-based approach described in the literature for constructing block designs.     

Nonparametric estimation of the shape function in a Gamma process for degradation data

The author considers estimation under a Gamma process model for degradation data. The setting for degradation data is one in which n independent units, each with a Gamma process with a common shape function and scale parameter, are observed at several possibly different times. Covariates can be incorporated into the model by taking the scale parameter as a function of the covariates. The author proposes using the maximum pseudo‐likelihood method to estimate the unknown parameters. The method requires usage of the Pool Adjacent Violators Algorithm. Asymptotic properties, including consistency, convergence rate and asymptotic distribution, are established. Simulation studies are conducted to validate the method and its application is illustrated by using bridge beams data and carbon‐film resistors data. The Canadian Journal of Statistics 37: 102‐118; 2009 © 2009 Statistical Society of Canada     

新世纪文论的开拓、创新与深度——《新世纪文论》评析

余三定等合著的<新世纪文论>包括文艺学、文艺哲学以及文学艺术批评等多方面的内容.该书积极求索、探新、用深,具有突出的理论开拓与创新意义.他们每人的文论研究都是站在文艺学整体性的基点上,进而突出各自的研究方向,各具特色,从而推动和促进了新世纪文论的发展.