Exponentiality Test Based on the Progressive Type II Censoring via Cumulative Entropy

In this article, we use cumulative residual Kullback-Leibler information (CRKL) and cumulative Kullback-Leibler information (CKL) to construct two goodness-of-fit test statistics for testing exponentiality with progressively Type-II censored data. The power of the proposed tests are compared with the power of goodness-of-fit test for exponentiality introduced by Balakrishnan et al. (2007 Balakrishnan, N., Habibi Rad, A., Arghami, N.R. (2007). Testing exponentiality based on Kullback-Leibler information with progressively type-II censored data. IEEE Transactions on Reliability 56(2):301–307.[Crossref], [Web of Science ®] , [Google Scholar]). We show that when the hazard function of the alternative is monotone decreasing, the test based on CRKL has higher power and when the hazard function of the alternative is non-monotone, the test based on CKL has higher power. But, when it is monotone increasing the power difference between test based on CKL and their proposed test is not so remarkable. The use of the proposed tests is shown in an illustrative example.     

Regularization with Maximum Entropy and Quantum Electrodynamics: The Merg(E) Estimators

It is well-known that under fairly conditions linear regression becomes a powerful statistical tool. In practice, however, some of these conditions are usually not satisfied and regression models become ill-posed, implying that the application of traditional estimation methods may lead to non-unique or highly unstable solutions. Addressing this issue, in this paper a new class of maximum entropy estimators suitable for dealing with ill-posed models, namely for the estimation of regression models with small samples sizes affected by collinearity and outliers, is introduced. The performance of the new estimators is illustrated through several simulation studies.     

基于熵权法的财务危机预警指标选择研究

合理选择财务指标是财务危机预警研究中的重要内容,用定性和定量相结合的方法进行选择是科学有效的方法之一。首先根据初选原则对财务指标进行了初步选择,然后提出了一种基于熵权的变量选择方法,对初选的财务指标进行定量筛选,进行实证研究,最终确定了应用于财务危机预警的财务指标。     

基于未确知测度方法的城市化水平评价研究

城市化水平是一个国家和地区经济、社会、文化、科技水平的重要标志,也是衡量国家和地区社会组织程度和管理水平的重要标志。实施城市化战略,推进城市化进程,是我国逐步摆脱不发达状态,实现现代化历史任务的目标和手段的统一,也是21世纪初我国现代化建设中的重要任务。因此,做好城市化水平的评价工作对于一个地区的发展有着重要的战略意义。论文研究了信息熵和未确知测度方法在城市化水平评价中的应用,给出了综合评价模型,并结合实例进行验证分析。     

Testing the dilation order by using cumulative residual Tsallis entropy

In this paper, we introduce a new test for the dilation order based on cumulative residual Tsallis entropy of order α. The effect of the values of parameter α on the power of the test statistics is numerically investigated. The asymptotic distribution of the test statistic is given. The performance of the test statistic is evaluated using a simulation study. Finally, some numerical examples illustrating the theory are also given.     

影响企业扩张度的因素及其熵描述

通过对影响企业扩张度因素的分析以及熵思想下企业扩张度的重新界定,指出企业扩张必须遵循的原则就是,扩张必须基于自身核心竞争能力等内部基本元素的强弱与外部环境来确定其扩张的规模、速度以及经济范围,以便达到内部熵能最小和持续发展的目的。     

熵理论与和谐社会

熵理论揭示了任何事物和过程都是有序和无序的辩证统一,人类社会的发展也是有序和无序的辩证统一。构建和谐社会的实质就是克服无序(不和谐)、创建有序(和谐),实现安定有序。这是建设中国特色社会主义的重大任务。     

基于熵值法的东陇海产业带区域发展能力评价与建设策略

以市区和县域为研究单元,从经济发展推动力、社会发展支撑力、资源环境承载力三个方面构建区域发展能力指标体系.采用熵值法进行量化分析并进行发展能力评价.从省域层面看,该区域发展能力明显弱于省平均水平;从区域内部看,发展能力差距明显,综合发展能力优势集中在东陇海产业带的双核及轴线上.在区域发展能力评价的基础上,提出区域发展能力的建设策略:整合空间结构,深化区域分工,完善基础设施,涵养资源环境.     

港口物流产业集群竞争力指标体系构建及评价分析

港口物流产业集群的形成是地区经济和港口发展的必然趋势。文章从港口状况、物流产业及腹地经济三个方面建立了港口物流产业集群竞争力评价指标体系,并运用基于熵理论的熵权TOPSIS方法对指标体系进行评价。最后以环渤海地区10个港口物流产业集群为例进行实证研究,揭示了影响港口物流产业集群竞争力的主要因素以及环渤海地区各港口物流产业集群的竞争态势。     

关于热力学自发过程定义及判据的讨论

自发过程是化学热力学一个极为重要的基本概念,但是各教材对其定义历来不尽一致,对自发过程判据的阐述也不十分清楚,给教学带来了一定困难。鉴于此,讨论了迄今为止几种自发过程定义的优缺点,分析了造成自发过程定义不统一的主要原因,讨论了熵判据可作为自发过程判据的条件。