Applications of quadrivariate exponential distribution to a three-unit warm standby system with dependent structure

Two-unit warm standby systems have been elaborately dealt within the literature. However, the study of standby systems with more than two units, though very relevant in state-of-the-art practical situations, has received little attention because of mathematical intricacies involved in analyzing them. Also, such systems have been studied assuming: (i) the lifetime or repair time of the units to be exponential, or (ii) the lifetime and repair time to be independent. The present contribution is an improvement in the state-of-the-art in the sense that three-unit warm standby system with dependent structure is shown to be capable of comprehensive analysis.     

基于学分绩点与综合素质测评的换算模型建立

学生综合素质测评体系的完善对有效实施大学生综合素质测评工作以及指导大学生健康发展有重要意义,其中,学生综合素质测评体系的关键在于学分绩点与综合素质测评的换算模型的转化。通过分析高校现行学分绩点测评公式,发现其存在的主要缺陷是转化公式不满足统计学原理,并指出学分绩点测评的换算公式应建立在对特定学生群体特征参数群数值分析的基础上。以西南石油大学某专业学生某学年的成绩分布数据进行验证,采取统计原理、常数变异法和不动点原理进行建模,利用求导方法对学分绩点测评中的特征参数群进行层次划分,然后对每段划分积分,通过归一化来确定变异项,得出新的换算模型。结果表明新模型能更好地反映学生的学习成绩在综合素质测评中的地位。     

Composite Estimation for Single‐Index Models with Responses Subject to Detection Limits

We propose a semiparametric estimator for single‐index models with censored responses due to detection limits. In the presence of left censoring, the mean function cannot be identified without any parametric distributional assumptions, but the quantile function is still identifiable at upper quantile levels. To avoid parametric distributional assumption, we propose to fit censored quantile regression and combine information across quantile levels to estimate the unknown smooth link function and the index parameter. Under some regularity conditions, we show that the estimated link function achieves the non‐parametric optimal convergence rate, and the estimated index parameter is asymptotically normal. The simulation study shows that the proposed estimator is competitive with the omniscient least squares estimator based on the latent uncensored responses for data with normal errors but much more efficient for heavy‐tailed data under light and moderate censoring. The practical value of the proposed method is demonstrated through the analysis of a human immunodeficiency virus antibody data set.     

Bayesian Treatment of Model Uncertainty for Partially Applicable Models

This article discusses how analyst's or expert's beliefs on the credibility and quality of models can be assessed and incorporated into the uncertainty assessment of an unknown of interest. The proposed methodology is a specialization of the Bayesian framework for the assessment of model uncertainty presented in an earlier paper. This formalism treats models as sources of information in assessing the uncertainty of an unknown, and it allows the use of predictions from multiple models as well as experimental validation data about the models’ performances. In this article, the methodology is extended to incorporate additional types of information about the model, namely, subjective information in terms of credibility of the model and its applicability when it is used outside its intended domain of application. An example in the context of fire risk modeling is also provided.     

On the construction of optimal experimental designs: a penalty approach

Tn optimal experimental design theory there are well-known situations, in which additional constraints are implied to the design set. These constraints destroy in general the simplex structure of the set of feasible points of the design set. Thus the available iteration procedures for the unrestricted case are no longer applicable.

In this paper a penalty approach is suggested which transforms the restricted problem to the unrestricted case and allows the application of well-known algorithms such as the Fedorov-Wynn-type or the projected gradient procedure.     

关于留数定理的一个推广

研究了留数定理的有关问题,通过举例论证和归纳推理等证明方法,得到了单个留数定理的一个推广结论,最后将此结论应用于一些积分问题中.     

协调：一种应对公共政策执行阻滞现象的理念——基于公共政策执行中中央与地方的博弈分析

现有研究所提出的消解公共政策执行阻滞现象的对策多为事后性对策，且偏于刚性方式。以博弈论为理论依据，通过建构传统策略下中央与地方的策略互动、“协调”作为中央策略下的策略互动、协调引入博弈最始端下的策略互动三个博弈模型，比较得出将协调引入公共政策的制定和执行中，将有助于公共政策执行阻滞现象的减少和消除，并在此基础上提出以协调为理念构建的对策。     

马克思主义民族理论在新世纪的新发展--学习胡锦涛同志在中央民族工作会议上的重要讲话

胡锦涛同志在中央民族工作会议上的讲话,是新世纪新阶段我国民族工作的纲领性文件,是对党和国家的民族理论和政策一个新的丰富和发展,也是对马克思主义民族理论的新发展.     

大都市的扩展历程与大都市边缘区的城乡一体化问题分析

以一座三塔悬索桥为分析对象,采用SAP2000平台建立该桥空间动力有限元模型并进行非线性动力分析,研究了地震作用下,缆梁间设置中央扣、中塔与主梁间设置弹性索和二者组合使用对于该桥抗震性能的影响。分析结果表明,缆梁间设置中央扣可以显著减小主梁位移和中塔塔底剪力和弯矩,但会使各塔顶主索鞍座水平力和边塔内力增加;选用合理的弹性索刚度,可以有效控制主梁位移,同时使中塔与边塔的受力处于合理范围内;两者组合使用,能够进一步降低主梁位移和均衡中塔与边塔的受力,同时可以减小弹性索索力,更有利于中塔下横梁受力。