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.     

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。     

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.     

基于股价预测的泛证券投资组合策略

本文基于期望效用最大化和L₁-中位数估计研究了在线投资组合选择问题。与EG（Exponential Gradient）策略仅利用单期价格信息估计价格趋势不同,本文将利用多期价格信息估计价格趋势,以提高在线策略的性能。首先,基于多期价格数据,利用L₁-中位数估计得到预期价格趋势。然后,通过期望效用最大化,提出一个新的具有线型时间复杂度的在线策略,EGLM（Exponential Gradient via L₁-Median）。并通过相对熵函数定义资产权重向量的距离,进而证明了EGLM策略具有泛证券投资组合性质。最后,利用国内外6个证券市场的历史数据进行实证分析,结果表明相较于UP（Universal Portfolio）策略和EG策略,EGLM策略有更好的竞争性能。     

国外教师差别行为的研究现状与展望

近年来国外对教师差别行为的研究取得了较大的成就。文章从差别行为的研究范式、结构与测量及研究内容三个方面对该领域的现状进行描述,并在此基础上对该现象的未来发展趋势进行展望,以期人们能更好地把握该领域的发展轮廓,推动该领域的研究与发展。     

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。     

Investigating the differential mobility experiences of Chinese cross-border students

Recent migration studies have adopted the lens of mobility to examine the stratifying effects of border policies, but few investigate the differential mobility of migrant families and children. This paper aims to contribute to the migration literature by considering the interplay between border policies, family configurations, and differential mobility. We apply the lens of differential mobility to the experiences of Chinese cross-border pupils – young child migrants with Hong Kong permanent residency who reside in Shenzhen, China, and cross the border to attend school. We begin by describing shifts in Hong Kong’s border and immigration policies since 1997, which have created a typology of families differentiated by mixed status, citizenship rights, and mobility. We then turn to four case studies of students with unequal border-crossing experiences to elucidate how border control constrains or promotes family mobility and perpetuates inequalities.     

Interval censored and truncated data: Rate of convergence of NPMLE of the density

We consider survival data that are both interval censored and truncated. Under appropriate assumptions on the involved distributions, the censoring, truncation and survival, we prove the consistency of the NPMLE of the density of the survival, and give the rate of convergence. Finally, we give an example where the joint law of the censoring and truncation can be explicitly computed.     

Bivariate extension of (dynamic) cumulative past entropy

Recently, the concept of cumulative residual entropy (CRE) has been studied by many researchers in higher dimensions. In this article, we extend the definition of (dynamic) cumulative past entropy (DCPE), a dual measure of (dynamic) CRE, to bivariate setup and obtain some of its properties including bounds. We also look into the problem of extending DCPE for conditionally specified models. Several properties, including monotonicity, and bounds of DCPE are obtained for conditional distributions. It is shown that the proposed measure uniquely determines the distribution function. Moreover, we also propose a stochastic order based on this measure.