熵值法在EXCEL中的VBA实现

熵值法是多指标综合评价中根据指标数据提供的信息量对指标进行客观赋权的一种方法.但该方法的数据处理过程较为复杂。本文利用VBA(VisualBasictbrApplication)在EXCEL下编写宏程序,使用户处理数据时彻底从手工操作中解放出来,最终达到熵值法在EXCEL中实现“傻瓜”操作的目标。     

我国节能环保上市公司的业绩评价研究--基于因子分析法和熵值法的实证分析

节能环保产业在2015年即将成为我国国民经济新的支柱产业,因此扩大产业规模、提高节能环保上市公司绩效是当务之急。针对这个问题,通过构建节能环保上市公司的业绩指标评价体系,并利用因子分析法和熵值法对节能环保上市公司业绩进行实证评价。研究结果表明,由于出色的创新和偿债能力,软件和信息技术服务行业在业绩评价中总体处于领先地位。我国节能环保上市公司要想实现快速发展,必须重视科技力量,增强创新能力,提高核心竞争力。     

基于模糊物元的区域持续创新能力评价研究--以江苏省为例

基于区域持续创新能力指标之间存在着多层次、复杂的特点,将模糊物元与欧式贴近度结合起来,并建立了基于模糊物元的欧式贴近度模型。在确定指标权重时引入熵值理论,有效地确保了在评价指标权重时的主观性和不确定性的减小。最后,以江苏省为实例,评价江苏省的持续创新能力并为江苏省的持续创新提出相关对策建议。从江苏省的实例分析表明,该方法实用、可行。     

区域信息化简约评价指标体系的构建

踏着全球信息化和经济全球化的浪潮,区域信息化评价正在不断地向深度和广度推进,建立一套科学而简约的评价指标体系迫在眉睫。在海选区域信息化评价指标的基础上,采用变异系数和相关系数初步筛选指标,通过聚类-因子分析法对指标进行二次筛选,以确保指标体系简洁而全面。构建由9个指标组成的区域信息化水平简约评价指标体系,运用熵权法对各指标赋权并构造综合评价函数,对31个省市的信息化水平进行测度,并通过信度、效度分析和方差贡献率验证指标体系的合理性。     

Reducing data dimension for cluster detection

Clustering high-dimensional data is often a challenging task both because of the computational burden required to run any technique, and because the difficulty in interpreting clusters generally increases with the data dimension. In this work, a method for finding low-dimensional representations of high-dimensional data is discussed, specifically conceived to preserve possible clusters in data. It is based on the critical bandwidth, a nonparametric statistic to test unimodality, related to kernel density estimation. Some useful properties of the aforementioned statistic are enlightened and an adjustment to use it as a basis for reducing dimensionality is suggested. The method is illustrated by simulated and real data examples.     

Information,measure shifts and distribution metrics

Reflexive shifting of a given distribution, using its own distribution function, can reveal information. The shifts are changes in measure such that the separation of the resulting left and right unit shifted distributions reveals the binary entropy of position, called locational or partition entropy. This can be used for spread and asymmetry functions. Alternatively, summary metrics for distributional asymmetry and spread can be based on the relative strengths of left- and right-hand shifts. Such metrics are applicable even for long tail densities where distributional moments may not exist.     

Information theoretic results for circular distributions

The broad class of generalized von Mises (GvM) circular distributions has certain optimal properties with respect to information theoretic quantities. It is shown that, under constraints on the trigonometric moments, and using the Kullback–Leibler information as the measure, the closest circular distribution to any other is of the GvM form. The lower bounds for the Kullback–Leibler information in this situation are also provided. The same problem is also considered using a modified version of the Kullback–Leibler information. Finally, series expansions are given for the entropy and the normalizing constants of the GvM distribution.     

Information Measures for Some Well-Known Families

In this article, results for some well-known families such as Pareto IV, generalized logistic, generalized gamma, double generalized gamma, generalized normal, inverse gamma, and Weibull, and their related families via the links between entropy, variance, Fisher information, and analog of the Fisher information, are derived.     

Characterization based on generalized entropy of order statistics

ABSTRACT

In the present study, several characterizations of order statistics are obtained on the basis of the generalized entropy. Under some conditions, it is shown that the parent distribution can be uniquely determined by equality of generalized entropy of order statistics.     

Further results on discrete mean past lifetime

Abstract

The present paper aims at studying the mean past lifetime of a discrete random variable. The notion of discrete mean past lifetime is studied in relation to the concepts of reversed hazard rate, reversed lack of memory property, and cumulative past entropy. New classes of distributions characterized by particular forms of discrete mean past life are also investigated. Implications of an increasing mean past lifetime on other reliability notions are studied and finally some bivariate generalizations are discussed.