On Comparison Of Estimates Of Dispersion Using Generalized Pitman Nearness Criterion

In this paper, estimates QP dispersion matrix and its functions are compared based on generalized Pitman nearness criterion, Various Iosa functions are considered for the purpose. Locally superior estimates are defined and obtained. Comparison of these estimates are made with other standard ones. It is snown that within certain classes, defined in the paper, these are the best estimatcrs ia the generalized Fitman nearness sense     

基于模糊信息熵的环境管理过程控制能力

建立了环境管理过程的闭环过程控制系统模型,用模糊控制系统表达环境管理过程中的不确定性,分析了环境管理过程的控制能力,建立了过程控制能力函数。将信息熵引入模糊环境过程控制函数的参数识别,建立了环境管理过程度量方法。同时,建立了环境管理过程决策支持系统,以实现环境管理过程的参数识别和能力评估。     

采用熵的多维K-匿名划分方法

K-匿名是数据发布应用场景下重要的隐私保护模型。近年来数据集K-匿名化的算法得到广泛的研究,Median Mondrian算法是目前唯一的多维K-匿名划分方法。文中研究了Median Mondrian算法,指出其不能有效地平衡数据划分精度与数据隐私安全性之间的矛盾,由此提出基于熵测度机制的多维K-匿名划分方法以及评估K-匿名化结果安全性的测量标准。实验表明该算法是可行的,能有效地提高数据安全性。     

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。     

Censored Kullback-Leibler Information and Goodness-of-Fit Test with Type II Censored Data

The Kulback-Leibler information has been considered for establishing goodness-of-fit test statistics, which have been shown to perform very well (Arizono & Ohta, 1989; Ebrahimi et al., 1992, etc). In this paper, we propose censored Kullback-Leibler information to generalize the discussion of the Kullback-Leibler information to the censored case. Then we establish a goodness-of-fit test statistic based on the censored Kullback-Leibler information with the type 2 censored data, and compare the test statistics with some existing test statistics for the exponential and normal distributions.     

Multivariate Measures of Well-Being and an Analysis of Inequality in the Michigan Data

We demonstrate a multidimensional approach for combining several indicators of well-being, including the traditional money-income indicators. This methodology avoids the difficult and much criticized task of computing imputed incomes for such indicators as net worth and schooling. Inequality in the proposed composite measures is computed using relative inequality indexes that permit simple analysis of both the contribution of each welfare indicator (and its factor components) and within and between components of total inequality when the population is grouped by income levels, age, gender, or any other criteria. The analysis is performed on U.S. data using the Michigan Survey of Income Dynamics.     

On cumulative entropies

In analogy with the cumulative residual entropy recently proposed by Wang et al. [2003a. A new and robust information theoretic measure and its application to image alignment. In: Information Processing in Medical Imaging. Lecture Notes in Computer Science, vol. 2732, Springer, Heidelberg, pp. 388–400; 2003b. Cumulative residual entropy, a new measure of information and its application to image alignment. In: Proceedings on the Ninth IEEE International Conference on Computer Vision (ICCV’03), vol. 1, IEEE Computer Society Press, Silver Spring, MD, pp. 548–553], we introduce and study the cumulative entropy, which is a new measure of information alternative to the classical differential entropy. We show that the cumulative entropy of a random lifetime X can be expressed as the expectation of its mean inactivity time evaluated at X. Hence, our measure is particularly suitable to describe the information in problems related to ageing properties of reliability theory based on the past and on the inactivity times. Our results include various bounds to the cumulative entropy, its connection to the proportional reversed hazards model, and the study of its dynamic version that is shown to be increasing if the mean inactivity time is increasing. The empirical cumulative entropy is finally proposed to estimate the new information measure.     

Taub-NUT黑洞的统计熵

避开求解波动方程的困难,利用量子统计的方法,直接计算轴对称Taub-NUT黑洞背景下玻色场和费米场的配分函数.然后利用改进的砖墙方法——膜模型,计算黑洞背景下的玻色场和费米场的熵.计算表明,黑洞的熵与视界面积成正比的结论只有在薄膜的厚度远小于截断因子或两者为同阶无穷小时成立,当无穷小薄膜的厚度远大于无穷小截断因子时,黑洞的熵有一个对数发散项,黑洞熵不再与视界面积成正比.     

Entropy Principles in Decision Making Under Risk

This paper considers decision problems where: (1) The exact probability distribution over the states of nature is not precisely known, but certain prior information is available about the possibilities of these outcomes; (2) A prior distribution over the states of nature is known, but new constraint information about the probabilities becomes available. The maximum entropy principle asserts that the probability distribution with maximum entropy, satisfying the prior knowledge, should be used in the decision problem. The minimum cross-entropy principle says that the posterior distribution is the one which minimizes cross-entropy, subject to the new constraint information. The entropy principles have not gone uncriticized, and this literature, together with that justifying the principles, is surveyed. Both principles are illustrated in a number of situations where the distribution is either discrete or continuous. The discrete distribution case with prior interval estimates based on expert opinions is considered in detail.     

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。