Statistical analysis of a two-unit dependent repairable system

Maximum likelihood estimators are investigated a for lr-out-of 2:G repairable system when failures and repairs are statistically dependent. Under two censoring schemes Accelerated Life Testing Procedure (ALTP) is used to obtain the estimates. Information matrices are supplied and a special case when the failure and repair phenomenon are independent of each other is considered.     

A general method of constructing E(s2)-optimal supersaturated designs

There has been much recent interest in supersaturated designs and their application in factor screening experiments. Supersaturated designs have mainly been constructed by using the E ( s ²)-optimality criterion originally proposed by Booth and Cox in 1962. However, until now E ( s ²)-optimal designs have only been established with certainty for n experimental runs when the number of factors m is a multiple of n-1 , and in adjacent cases where m = q ( n -1) + r (| r | 2, q an integer). A method of constructing E ( s ²)-optimal designs is presented which allows a reasonably complete solution to be found for various numbers of runs n including n ,=8 12, 16, 20, 24, 32, 40, 48, 64.     

A simple way to obtain the spectral decomposition of variance components models for balanced data

By means of an example it is shown how eigenvalues and eigenvectors of variance components models can be obtained straightforwardly when balanced data are available. Simple asymptotically efficient estimators of the variance components are presented.     

Asymptotic tests and monte carlo studies associated with the multiplicative interaction model

Several authors have proposed approximations to percentage points required for testing certain hypotheses associated with the multiplicative interaction model. Alternative approximations based on the asymptotic joint distribution of the characteristic roots of a noncentral Wishart matrix are proposed in this paper. The type I error rates of the resulting tests and the existing procedures are then compared using Monte Carlo methods.     

高等学校民主评议领导干部工作的实践与研究

教职工代表大会是学校实行民主管理的基本形式 ,完成学校的各项任务 ,必须要保证教代会的审议建议、审议通过、审议决定和评议监督等四项职权的顺利实施。本文指出要从“建设政治文明、完善领导体制、提高干部队伍整体素质”的高度来认识高等学校教代会民主评议领导干部工作 ,结合近几年高校开展民主评议干部工作的实践和经验 ,对当前存在的一些问题进行了初步的探索和思考。     

非负矩阵谱半径的新估计

对于非负矩阵的谱半径进行研究,分析了文[1,2]中的结果,给出了非负矩阵谱半径的新估计,该结果改进了文[1,2]中的相关结果.     

G（3）的存在性定理及其结构规律

给出了３度平面图的两个存在性定理的简洁证明，以矩阵列举法迅速得到所有的异构类，并举例说明结论的意义．     

人民政协参与基层协商民主的法治化路径

人民政协参与基层协商民主可激活宪政体制内的协商民主资源。在现行宪制框架内进行法治整合,将政治协商制度与相关政治制度有机衔接,是人民政协参与基层协商民主法治化的必然之路。但是政协参与基层协商民主存在着法律地位不明与制度衔接不畅、基层组织不健全和纵向系统不完善、代表性偏低与实效性不足、协商内容不确定与协商程序不规范等法治障碍。应当明确政协参与基层协商民主的法律地位,加强多种制度之间的衔接,并且健全基层政协组织机构,优化政协委员的代表机制以及规范政协参与的程序性机制,以期在人民政协的体制框架内推进基层协商民主的制度化、规范化和程序化。     

Detection and Interpretation of a Multivariate Signal Using Combined Charts

A control procedure is presented in this article that is based on jointly using two separate control statistics in the detection and interpretation of signals in a multivariate normal process. The procedure detects the following three situations: (i) a mean vector shift without a shift in the covariance matrix; (ii) a shift in process variation (covariance matrix) without a mean vector shift; and (iii) both a simultaneous shift in the mean vector and covariance matrix as the result of a change in the parameters of some key process variables. It is shown that, following the occurrence of a signal on either of the separate control charts, the values from both of the corresponding signaling statistics can be decomposed into interpretable elements. Viewing the two decompositions together helps one to specifically identify the individual components and associated variables that are being affected. These components may include individual means or variances of the process variables as well as the correlations between or among variables. An industrial data set is used to illustrate the procedure.