Dynamic version of weighted cumulative residual entropy

Some extensions of Shannon entropy to the survival function have been recently proposed. Misagh et al. (2011 Misagh, F., Panahi, Y., Yari, G.H., Shahi, R. (2011, September). Weighted cumulative entropy and its estimation. In: Quality and Reliability (ICQR), 2011, IEEE International conference (pp. 477–480), IEEE.[Crossref] , [Google Scholar]) introduced weighted cumulative residual entropy (WCRE) that was studied more by Mirali et al. (2015 Mirali, M., Baratpour, S., Fakoor, V. (2015). On weighted cumulative residual entropy. Commun. Stat. Theory Methods. doi:10.1080103610926.2015.1053932.[Web of Science ®] , [Google Scholar]). In this article, the dynamic version of WCRE is proposed. Some relationships of this measure with well-known reliability measures and ageing classes are studied and some characterization results for exponential and Rayleigh distributions are provided. Also, a non parametric estimation of dynamic version of WCRE is introduced and its asymptotic behavior is investigated.     

Testing monotonic equilibrium residual entropy of N-State Random Evolution

In this study, we propose an information measure of uncertainty associated with the random equilibrium residual lifetime of a system driven by N-State Random Evolution. A U-statistic test driven by a moment inequality is proposed for testing the hypothesis that the uncertainty of equilibrium remaining life of a system remains unchanged (when system is in the steady state) against the alternative situation when system’s equilibrium residual life has increasing uncertainty over time (i.e., the life distribution has Increasing Equilibrium Residual Entropy property). Some numerical results such as tabulated critical values and empirical power of the proposed test statistic are presented as well.     

Goodness-of-fit tests based on Verma Kullback–Leibler information

In this article, a new consistent estimator of Veram’s entropy is introduced. We establish the entropy test based on the new information namely Verma Kullback–Leibler discrimination methodology. The results are used to introduce goodness-of-fit tests for normal and exponential distributions. The root of mean square errors, critical values, and powers for some alternatives are obtained by simulation. The proposed test is compared with other tests.     

Efficiency of the generalized-difference-based weighted mixed almost unbiased two-parameter estimator in partially linear model

In this paper, a generalized difference-based estimator is introduced for the vector parameter β in partially linear model when the errors are correlated. A generalized-difference-based almost unbiased two-parameter estimator is defined for the vector parameter β. Under the linear stochastic constraint r = Rβ + e, we introduce a new generalized-difference-based weighted mixed almost unbiased two-parameter estimator. The performance of this new estimator over the generalized-difference-based estimator and generalized- difference-based almost unbiased two-parameter estimator in terms of the MSEM criterion is investigated. The efficiency properties of the new estimator is illustrated by a simulation study. Finally, the performance of the new estimator is evaluated for a real dataset.     

Interval estimation: An information theoretic approach

ABSTRACT

We develop here an alternative information theoretic method of inference of problems in which all of the observed information is in terms of intervals. We focus on the unconditional case in which the observed information is in terms the minimal and maximal values at each period. Given interval data, we infer the joint and marginal distributions of the interval variable and its range. Our inferential procedure is based on entropy maximization subject to multidimensional moment conditions and normalization in which the entropy is defined over discretized intervals. The discretization is based on theory or empirically observed quantities. The number of estimated parameters is independent of the discretization so the level of discretization does not change the fundamental level of complexity of our model. As an example, we apply our method to study the weather pattern for Los Angeles and New York City across the last century.     

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。     

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.     

Clustering in weighted networks

In recent years, researchers have investigated a growing number of weighted networks where ties are differentiated according to their strength or capacity. Yet, most network measures do not take weights into consideration, and thus do not fully capture the richness of the information contained in the data. In this paper, we focus on a measure originally defined for unweighted networks: the global clustering coefficient. We propose a generalization of this coefficient that retains the information encoded in the weights of ties. We then undertake a comparative assessment by applying the standard and generalized coefficients to a number of network datasets.     

竞争条件下企业生存能力的研究

从企业生物性和管理熵的角度分析了企业生存的三大能力 :基本生存能力、竞争力和应变力 ,形成企业能力的因素主要是企业的文化、学习和创新 ,以及企业的战略管理、经营管理