Non-parametric estimation of copula based mutual information

Abstract

Mutual information is a measure for investigating the dependence between two random variables. The copula based estimation of mutual information reduces the complexity because it is depend only on the copula density. We propose two estimators and discuss the asymptotic properties. To compare the performance of the estimators a simulation study is carried out. The methods are illustrated using real data sets.     

An Estimator of Shannon Entropy of Beta-Generated Distributions and a Goodness-of-Fit Test

The aim of this article is twofold: on the one hand to introduce and study some of the statistical properties of an estimator for the Shannon entropy and on the other hand to develop a goodness-of-fit test for beta-generated distributions and the distribution of order statistics. Beta-generated distributions are a broad class of univariate distributions which has received great attention during the last 15 years, as it obeys nice properties and it extends the distribution of order statistics. The proposed estimator of Shannon entropy of beta-generated distributions is motivated by the respective Vasicek’s estimator, as the latter one is tailored to the class of the beta-generated distributions and the distribution of order statistics. The estimator of Shannon entropy is defined and its consistency is studied. It is, moreover, exploited to build a goodness-of-fit test for the beta-generated distribution and the distribution of order statistics. Simulations are performed to examine the small- and moderate-sample properties of the proposed estimator and to compare the power of the proposed test with the power of competitors under a variety of alternatives.     

Boltzmann方程的意义的探讨

本文试就Boltzmann方程的数学物理内函及其近代物理学的发展,以及为量子力学的建立提供了条件和为统计物理学的发展奠定了基础,从而促使整个物理学的发展进入崭新的革命时期方面来探讨Boltzmann所具有深远意义的物理理论和物理思想,并对Boltzmann方程的意义进行一些粗浅地探讨。     

相对论性理想流体熵密度的计算

求解自引力非辐射体系的熵结构，这个问题很有意义．本文一般地导出相对论性流体热力学第二定律的协变表达式．利用理想流体的熵流守恒和局域能量守恒等基本守恒律推导出熵密度的计算公式．     

一种增益可调CMOS恒带宽单片放大器

基于电流跟随器和负反馈原理，并结合电流镜像与虚地技术，得到了一种具有不依赖于闭环电压增益的１２０ｋＨｚ～８ＭＨｚ恒定带宽，增益０～６０ｄＢ可调，最高稳定工作频率５ＭＨｚ，功耗５．２ｍＷ的高性能ＣＭＯＳ放大器，其ＳＰＩＣＥ模拟表明，该放大器电气性能优越，模拟结果与理论分析比较吻合；可采用３～５μｍ硅栅ＣＭＯＳ工艺技术单片化集成实现，并可望用于宽带视频放大等模拟信号处理领域。     

EEG的测度熵计算

本文对脑电图(EEG)的测度熵进行数值计算,证实了脑电呈现混沌运动的特征,并发现可以利用EEG的测度熵对人脑功能作定性解释。     

改善相控阵天线工作带宽的技术途径研究

从空间色散和时间色散两方面讨论了常规相控阵天线的窄带特性。从时域阵列理论出发，着重研究了改善相控阵天线工作带宽的技术途径，分析了这些技术措施对天线辐射特性可能造成的影响，供后续工作参考。     

EPON上行接入算法研究

介绍了以太无源光网络中一种新的光线路终端和光网络单元的上行接入算法,给出了一种新的下行授权帧结构,在授权帧中,通过固定的标示各光网络单元地址,将各光网络单元授权集中于一个下行授权帧中,各光网络单元也参与上行接入计算,提高了上下行带宽利用率,通过仿真比较,该算法同时具有良好的时延特性。     

论Schwarzschild黑洞的熵

利用二维球面简并气体模型，证实了Ｓｃｈｗａｒｚｓｃｈｉｌｄ黑洞的熵就是其视界物质的熵．     

熵理思维视角下的科学立法探析

建设法治国家是中国走向现代文明的必然选择,科学立法是法治进程的基础.法律的重要作用在于降低系统不确定性,提高社会有序性.熵是描述、分析和计算系统有序程度的重要而成熟的概念,已在多个学科得到成功应用.在此思维指导下考量中国立法现状,提出四点科学立法建议:简化立法层次,明确立法权限;设立立法配额,推进职业立法;立、改、废、释并举及其常态化;借鉴工程学科成熟的理论和技术,如测试覆盖性分析、风险分析和熵值计算法,形成跨学科的方法.