上市公司综合评价研究

客观合理地评价上市公司,是投资者、上市公司以及监管机构都非常关注的问题,也是规范发展证券市场的一个重要方面。基于平衡记分卡的原理,提出了我国上市公司的评价指标体系。财务层面的评价采用因子分析法;客户层面、内部层面、学习与创新层面以及综合评价,则是根据模糊三角数的概念构造判断矩阵,利用模糊三角数比较大小的原理进行排序。     

Fuzzy格上的Urysohn度量化定理

当Ｌ是Ｆｕｚｚｙ格时,证明了一个ＣⅡ拓扑分子格（Ｌ,η）可点式ｐ．度量化当且仅当其是正则的;可点式度量化当且仅当其是正则Ｔ１的．     

政府监管与企业加入第三方国际环境审计的模糊博弈分析

针对政府环境监管与企业实施环境行为博弈分析中无法对双方的损益情况做出判断的问题,文章结合三角模糊数构建了政府监管和企业加入第三方国际环境审计的博弈模型,分别指出了纯策略纳什均衡和混合策略均衡情况需要满足的条件,讨论了政府与污染环境企业博弈策略的影响因素及作用机制,为政府监管与企业加入第三方国际环境审计顺利实施提供了相关建议。然后通过三角结构元方法对算例进行求解,验证了结论的正确性和可行性,引入三角模糊概念更加符合实际应用情况,拓展了第三方国际环境审计的应用背景。研究结果表明,政府对消费者消费的引导和对污染企业的惩罚对企业是否决定加入第三方国际环境审计起着举足轻重的作用。     

非均匀分布下区间数排序可能度计算模型及其应用

区间数排序的可能度计算模型是学术界一直在不断探索的基础性问题之一。区间数刻画着事物属性特征的取值范围,以往学术界都假设在区间内的取值服从均匀分布。本文将均匀分布推广到一般分布,运用概率论的方法,构建了一个新的区间数排序的可能度计算模型,由此修正了以往关于两个区间数全等的定义,提出了区间数形等的概念,同时进一步修正了可能度的自反性条件和区间数的综合排序方法,并将理论应用于多属性决策问题,给出了基本的决策过程,通过实例决策问题的计算,呈现了新理论和新方法的可行性和合理性,具有很好的推广应用价值。     

A combinatorial study of two-periodic random walks

Two-periodic random walks have up-steps and down-steps of one unit as usual, but the probability of an up-step is α after an even number of steps and β = 1 ? α after an odd number of steps, and reversed for down-steps. This concept was studied by Böhm and Hornik^{[2 Böhm, W.; Hornik, K. On two-periodic random walks with boundaries. Stoch. Models 2010, 26, 165–194.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]]}. We complement this analysis by using methods from (analytic) combinatorics. By using two steps at once, we can reduce the analysis to the study of Motzkin paths, with up-steps, down-steps, and level-steps. Using a proper substitution, we get the generating functions of interest in an explicit and neat form. The parameters that are discussed here are the (one-sided) maximum (already studied by Böhm and Hornik^{[2 Böhm, W.; Hornik, K. On two-periodic random walks with boundaries. Stoch. Models 2010, 26, 165–194.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]]}) and the two-sided maximum. For the asymptotic evaluation of the average value of the two-sided maximum after n random steps, more sophisticated methods from complex analysis (Mellin transform, singularity analysis) are required. The approach to transfer the analysis to Motzkin paths is, of course, not restricted to the two parameters under consideration.     

A general inversion theorem for cointegration

A generalization of the Granger and the Johansen Representation Theorems valid for any (possibly fractional) order of integration is presented. This Representation Theorem is based on inversion results that characterize the order of the pole and the coefficients of the Laurent series representation of the inverse of a matrix function around a singular point. Explicit expressions of the matrix coefficients of the (polynomial) cointegrating relations, of the Common Trends and of the Triangular representations are provided, either starting from the Moving Average or the Auto Regressive form. This contribution unifies different approaches in the literature and extends them to an arbitrary order of integration. The role of deterministic terms is discussed in detail.     

基于利益相关者理论的企业内部控制体系绩效评价

针对企业的风险管理问题,以利益相关者为导向重新界定了企业内部控制体系的概念。从内部环境、风险评估、控制活动、信息与沟通、内部监督五个方面入手以利益相关者理论为基础构建了企业内部控制绩效评价指标体系。采用三角模糊数的绩效评价方法,为企业内部控制体系绩效评价提供借鉴。     

基于三角形分布的无线电频谱拍卖竞价策略研究

在频谱拍卖中,电信运营企业的竞价策略非常重要。以为电信运营企业提供最优竞价策略为思路,根据频谱对企业的价值分布特点,以及现阶段我国电信行业的市场特征和无线电运营企业频谱拍卖竞价的风险态度和偏好特点,运用不完全信息静态博弈理论,构建基于三角形分布的无线电频谱使用权拍卖竞价博弈模型,并对其均衡结果进行了分析,提出了一种综合考虑风险偏好和集中趋势的竞价策略。通过均衡分析还发现,企业估价的集中趋势或风险偏好度同向激励其均衡出价。     

Recent and classical goodness-of-fit tests for the Poisson distribution

We give a critical synopsis of classical and recent tests for Poissonity, our emphasis being on procedures which are consistent against general alternatives. Two classes of weighted Cramér–von Mises type test statistics, based on the empirical probability generating function process, are studied in more detail. Both of them generalize already known test statistics by introducing a weighting parameter, thus providing more flexibility with regard to power against specific alternatives. In both cases, we prove convergence in distribution of the statistics under the null hypothesis in the setting of a triangular array of rowwise independent and identically distributed random variables as well as consistency of the corresponding test against general alternatives. Therefore, a sound theoretical basis is provided for the parametric bootstrap procedure, which is applied to obtain critical values in a large-scale simulation study. Each of the tests considered in this study, when implemented via the parametric bootstrap method, maintains a nominal level of significance very closely, even for small sample sizes. The procedures are applied to four well-known data sets.     

Comments on the Paper: Attacking the Market Split Problem with Lattice Point Enumeration

We present a few comments on the paper Attacking the market split problem with lattice point enumeration by A. Wasserman, published in Journal of Combinatorial Optimization, vol. 6, pp. 5–16, 2002.