The distribution of the product of two independent generalized trapezoidal random variables

ABSTRACT

In this article, we derive the probability density function (pdf) of the product of two independent generalized trapezoidal random variables having different supports, in closed form, by considering all possible cases. We also show that the results for the product of two triangular and uniform random variables follow as special cases of our main result. As an illustration, we obtain pdf of product for a suitably constrained set of parameters and plot some graphs using MATLAB, which express variation in pdf with change in different parameters of the generalized trapezoidal distribution.     

论高等教育系统中的权力与责任

任何国家或政府的权力都是民众的权力(权利)让渡和公众的认可,且权力处于不断的动态变化中.市场经济体制的确立、政府政治体制的改革以及高等教育的大众化带来了高等教育的深刻变革,大学由原有政府单一权力的作用渐变为政府、市场及学术权威3种权力的共同作用,而且这3种力量不是简单之和,而是有机合力.其中任何一种力量对大学的极端控制都是危险的.     

基于模糊层次分析法的军队专业技术人才考评

军队专业技术人才考评可以为军队专业技术人才选拔任用、培养教育和奖励惩处提供科学依据,是军队专业技术人才队伍建设的重要内容。文章从德、能、勤、绩、体5个方面设计了军队专业技术人才考评指标体系;考虑专家判断的模糊性和一致性检验要求,采用基于三角模糊数期望值的模糊层次分析法确定了指标权重系数;针对考评人员评价的模糊性,确定了模糊综合评价模型;并通过在某单位科技干部考评活动中的应用实例分析证明,所建立的军队专业技术人才考评模型全面、合理、有效,具有一定的借鉴价值。     

Adaptive sequential procedures for comparing new treatments with a standard

In this paper we propose and study two sequential elimination procedures for selecting all new treatments better than a standard or control treatment. These procedures differ from those previously proposed in that we assume variances are unequal and unknown. Expressions for asymptotic expected sample sizes are given. Confidence intervals associated with the procedures are also discussed.     

组织知识管理绩效的一种综合评价方法

针对如何评价知识管理绩效的问题,从知识管理的过程、组织结构和知识管理受益情况出发,分析了评价知识管理绩效应该考虑的主要因素,建立了一套包括知识管理的过程、组织结构、经济上的收益和效率的变化情况等四个不同方面的评价指标体系,并在此基础上,给出了一种知识管理绩效的综合评价方法。最后通过一个算例说明了给出方法的应用。     

模糊C-OWG算子及其在三角模糊数互反判断矩阵排序中的应用

本文研究了决策信息以三角模糊数互反判断矩阵形式给出的有限方案决策问题。首先定义了模糊C-OWG(FC-OWG)算子和期望模糊C-OWG(EFC-OWG)算子,并研究了它们的一些性质。基于FC-OWG算子和EFC-OWG算子,提出了方案偏好信息为三角模糊数互反判断矩阵的方案排序方法,根据决策者的偏好程度进行调节,并利用决策者的偏好程度对排序结果进行敏感性分析。实例表明,新方法计算简单、可行且有效。     

Strong invariance principles for triangular arrays of weakly dependent random variables

We establish a strong invariance principle for triangular arrays of a broad class of weakly dependent real random variables. We approximate the original array of dependent random variables by an array of rowwise independent standard normal variables. We demonstrate the functional central limit theorem and law of the iterated logarithm for the approximating array and thereby extend these results to the original array. Among several examples, we look at arrays used in describing the rate of convergence of estimators in regression analysis.     

La méthode de vraisemblance pour les processus linéaires spatiaux définis sur un treillis triangulaire

Spatial linear processes {X_s, s ? T} where T is a triangular lattice in R² are considered. Special attention is given to the class of spatial moving-average processes. Precisely, for each site s T, the variable X_s is defined as a linear combination of real-valued random shocks located at the vertices of regular concentric hexagons centered at s. For Gaussian random shocks, the process is also Gaussian, and estimates of its parameters are obtained by maximizing the exact likelihood. For non-Gaussian random shocks, the exact likelihood is difficult to obtain; however, the Gaussian likelihood is still used giving the pseudo-Gaussian likelihood estimates. The behaviour of these estimates is analyzed through the study of asymptotic properties and some simulation experiments based on an isotropic model defined with one coefficient.     

基于CT-Bonferroni算子的民营企业经理人胜任力评价方法

民营企业经理人的胜任力评价能够为民营企业经理人的选拔和培养提供新思路,对完善现代民营企业管理制度,优化产权结构有重要的现实意义。将连续区间有序加权平均（C-OWA）算子进行拓展,提出连续三角模糊有序加权平均（CT-OWA）算子的概念。进而,将CT-OWA算子和Bonferroni平均算子相结合,提出一种连续三角模糊加权Bonferroni（CTWB）集成算子,构建基于CTWB算子的民营企业经理人胜任力评价方法。该方法综合考虑胜任力评价过程中不同评价指标之间的交互影响,不同决策者评价结果之间的相关性,以及决策者的风险态度,使得评价结果更加客观和公正。通过某民营企业职业经理人的选拔案例来说明该方法的可行性和有效性。     

制造企业服务化转型的风险评价

在国际市场竞争日益激烈的情况下,制造企业纷纷向价值链的高端发展,由此形成了制造企业服务化转型的趋势。然而,制造企业服务化转型中不可避免地面临着法律、经济、技术、质量、社会等方面风险因素的影响和制约。在分析和识别风险因素的基础上,提出熵权法和三角模糊数集成的风险评价方法,并给出数值算例,为制造企业服务化转型风险评价提供参考。