Rényi entropy of m-generalized order statistics

Abstract

Characterizing relations via Rényi entropy of m-generalized order statistics are considered along with examples and related stochastic orderings. Previous results for common order statistics are included.     

Lognormal Approximations of Fault Tree Uncertainty Distributions

Fault trees are used in reliability modeling to create logical models of fault combinations that can lead to undesirable events. The output of a fault tree analysis (the top event probability) is expressed in terms of the failure probabilities of basic events that are input to the model. Typically, the basic event probabilities are not known exactly, but are modeled as probability distributions: therefore, the top event probability is also represented as an uncertainty distribution. Monte Carlo methods are generally used for evaluating the uncertainty distribution, but such calculations are computationally intensive and do not readily reveal the dominant contributors to the uncertainty. In this article, a closed‐form approximation for the fault tree top event uncertainty distribution is developed, which is applicable when the uncertainties in the basic events of the model are lognormally distributed. The results of the approximate method are compared with results from two sampling‐based methods: namely, the Monte Carlo method and the Wilks method based on order statistics. It is shown that the closed‐form expression can provide a reasonable approximation to results obtained by Monte Carlo sampling, without incurring the computational expense. The Wilks method is found to be a useful means of providing an upper bound for the percentiles of the uncertainty distribution while being computationally inexpensive compared with full Monte Carlo sampling. The lognormal approximation method and Wilks’s method appear attractive, practical alternatives for the evaluation of uncertainty in the output of fault trees and similar multilinear models.     

陶渊明的诗化人格

作家的人格是其作品风格的内在因素 ,往往决定着其作品的风格。我们在研究作品风格的时候 ,不能不关注作家的人格。只有对作家的人格进行全面深入的审视 ,才能更准确地理解和把握其作品的风格。探讨陶渊明的人格魅力及其特征 ,是深入研究陶渊明作品风格的至关重要的途径。从陶渊明的作品中 ,从他的言行中 ,我们可以领悟到他的情趣和胸襟 ,领悟到一种具体的人格。陶渊明自然率真平和旷达的个性特征构筑了他的诗化人格 ,即未经世俗异化的高尚贞洁的人格。这种人格的内在思想根源是自然化迁的宇宙观和委运自然的人生观。这种人格的外在表现形式是他任真自得和固穷守节的行为方式。他的作品中常见的酒与菊、孤松、孤云与归鸟等艺术形象组成了陶渊明诗化人格的象征系列     

Moderate Deviations for Bayes Posteriors

Let ( X_k ) k be a sequence of i.i.d. random variables taking values in a set , and consider the problem of estimating the law of X₁ in a Bayesian framework. We prove, under mild conditions on the prior, that the sequence of posterior distributions satisfies a moderate deviation principle.     

大学排序行为模式不规范性及其负面影响

当代大学选优排序已成为社会参与高等教育管理、促进大学竞争与发展的重要途径。但是 ,目前社会流行的不规范的选优排序活动已经在高校和社会产生了误导和不良影响。对此进行了分析 ,并提出整顿与规范大学选优排序的几点意见。     

Statistical and Combinatorial Aspects of Comparative Genomics*

Abstract. This document presents a survey of the statistical and combinatorial aspects of four areas of comparative genomics: gene order based measures of evolutionary distances between species, construction of phylogenetic trees, detection of horizontal transfer of genes, and detection of ancient whole genome duplications.     

对“资本限量决策”方法的改进

企业面临的一类投资决策是所谓的资本限量决策,文献1给出两种解法:获利指数法和净现值法。究其实质,净现值法是一种枚举法或互斥化法,该方法可以获得最优解,但当项目个数较多时,互斥化的组合方案数很大,难以实用;计算加权获利指数工作量又很大。本文提出用差量效率指标排序法予以改进。     

商业银行贷款定价模型构造研究

本文从贷款定价的原则和因素分析着手 ,提出贷款价格由核心价格、风险附加价格和可折让价格三部分组成 ,并建立了贷款定价数学模型。同时 ,利用决策树实现了贷款定价决策。     

一种基于神经网络和决策树的信用评估新方法

分析了数据挖掘在国内外金融领域的应用及研究现状,提出了一种基于神经网络和决策树相结合的信用评估新方法。该方法通过RBF神经网络,进行条件属性裁减,并利用决策树抽取出评估规则。此方法利用神经网络的“黑箱”工作特性,选择重要条件属性,并利用决策树自动生成评估规则,大大提高了信用评估的效率和客观性。     

完善民事简易程序的现实必要性及其应遵守的原则

民事简易程序亟需加以完善.完善的现实必要性一是"权利的勃兴是一般背景";二是"冲突增多与司法资源有限是客观需求".完善时必须遵守最低程序保障原则、确保基本公正的原则和司法大众化的原则.