SVD滤波的串联故障电弧特征分析

为进一步研究故障电弧特征,针对三相电动机及变频器负载开展了串联故障电弧实验。首先将电流信号经过一阶差分预处理,再通过奇异值分解SVD(singular value decomposition)对信号进行两级滤波,剔除信号中的工频和噪声成分。采用柯尔莫可洛夫-斯米洛夫K-S(Kolmogorov-Smirnov)检验法分析SVD滤波信号的正态分布情况。采用线性调频Z变换CZT(chirp-Z transform)对SVD滤波信号0~500 Hz频段进行频谱细化分析。提取时域峭度和特征频段幅值平均值组成特征向量,并构建故障电弧区矩形。通过大量数据测试表明:该方法可有效识别三相电动机及变频器负载回路中发生的故障电弧。

基于站点降雨量最优拟合函数的SPI指数计算

标准化降水指数（SPI）能较好地反映不同时间尺度和区域的旱涝状况,时空适应性较强,成为科学研究和实际应用最广泛的描述多时间尺度的气象干旱指标,采用不同的概率分布函数拟合降雨量系列,将会得到不同的SPI值。利用淮河流域30个气象站点1951-2013年间约60 a的逐月降雨资料,分别采用7种不同分布函数（Gamma分布、皮尔逊III型分布、正态分布、对数正态分布、广义Pareto分布、广义Logistic分布和Weibull分布）对各站点不同时间尺度（1、3、6、12和24 mon）各月份降雨系列进行拟合,以K-S方法检验了各分布函数的拟合效果,并以均方根误差（RMSE）最小为准则选取的站点各月份最优分布函数OPT作为参考,分析比较上述7种分布函数模拟的不同时间尺度下的SPI时间序列。结果表明：在各不同时间尺度上,采用皮尔逊III型分布作为计算SPI指数的分布函数误差最小,其模拟的SPI值各站点总偏差平均值均在5%以下,Weibull分布和对数正态分布计算得到的SPI时间系列结果次之,它们模拟的SPI值各站点总偏差平均值介于5%-10%之间;当前我国气象部门统一采用的Gamma分布函数,并非计算SPI指数的最佳选择,各不同时间尺度下,采用Gamma分布计算的SPI值各站点总偏差平均值均在10%左右。其他函数,如正态分布、广义Pareto分布和广义Logistic分布,其误差介于10%-30%之间,均超过采用Gamma分布计算的结果。

一类食饵具有常数存放率的n次Kolmogorov系统的极限环

本文讨论一类食饵具有常数存放率的ｎ次Ｋｏｌｍｏｇｏｒｏｖ微分系统其中ａ＿０，ａ＿２，ｂ＿１，和ｂ＿２是正常数；Ｆ是负常数；ａ＿１和ａ＿３不定号，得到下列结论：ｌ：当Ａ＿１－２Ａ＿３＋ｍ＞０时，系统（１）在第一象限存在唯一稳定的极限环２：当Ａ＿１－２Ａ＿３≤０时。

STRONG LIMIT THEOREMS FOR EXTENDED INDEPENDENT RANDOM VARIABLES AND EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

Limit theorems for non-additive probabilities or non-linear expectations are challenging issues which have attracted a lot of interest recently.The purpose of this paper is to study the strong law of large numbers and the law of the iterated logarithm for a sequence of random variables in a sub-linear expectation space under a concept of extended independence which is much weaker and easier to verify than the independence proposed by Peng[20].We introduce a concept of extended negative dependence which is an extension of the kind of weak independence and the extended negative independence relative to classical probability that has appeared in the recent literature.Powerful tools such as moment inequality and Kolmogorov’s exponential inequality are established for these kinds of extended negatively independent random variables,and these tools improve a lot upon those of Chen,Chen and Ng[1].The strong law of large numbers and the law of iterated logarithm are also obtained by applying these inequalities.

A New Interpretation of Quantum Mechanics

The Copenhagen interpretation is the most authorized interpretation of quantum mechanics, but there are a number of ideas that are associated with the Copenhagen interpretation. It is ceratin that this fact is not necessarily desirable. Thus, we propose a new interpretation of measurement theory, which is the linguistic aspect (or, the mathematical generalization) of quantum mechanics. Although this interpretation is superficially similar to a part of so-called Copenhagen interpretation, we show that it has a merit to be applicable to both quantum and classical systems. For example, we say that Bell’s inequality is broken even in classical systems.

The Physical Laws and Mathematical Axioms of the Brain’s OS and the Traditional Fundamental Laws of Thought of Logic and Philosophy

This article presents four (4) additions to a book on the brain’s OS published by SciRP in 2015 [1]. It is a kind of appendix to the book. Some familiarity with the earlier book is presupposed. The book itself proposes a complete physical and mathematical blueprint of the brain’s OS. A first addition to the book (see Chapters 5 to 10 below) concerns the relation between the afore-mentioned blueprint and the more than 2000-year-old so-called fundamental laws of thought of logic and philosophy, which came to be viewed as being three (3) in number, namely the laws of 1) Identity, 2) Contradiction, and 3) the Excluded Middle. The blueprint and the laws cannot both be the final foundation of the brain’s OS. The design of the present paper is to interpret the laws in strictly mathematical terms in light of the blueprint. This addition constitutes the bulk of the present article. Chapters 5 to 8 set the stage. Chapters 9 and 10 present a detailed mathematical analysis of the laws. A second addition to the book (Chapter 11) concerns the distinction between the laws and the axioms of the brain’s OS. Laws are part of physics. Axioms are part of mathematics. Since the theory of the brain’s OS involves both physics and mathematics, it exhibits both laws and axioms. A third addition (Chapter 12) to the book involves an additional flavor of digitality in the brain’s OS. In the book, there are five (5). But brain chemistry requires a sixth. It will be called Existence Digitality. A fourth addition (Chapter 13) concerns reflections on the role of imagination in theories of physics in light of the ignorance of deeper causes. Chapters 1 to 4 present preliminary matter, for the most part a brief survey of general concepts derived from what is in the book [1]. Some historical notes are gathered at the end in Chapter 14.

Power Law for the Rates of Different Numbers of Chronic Diseases among Elderly Chinese People

Chronic disease is an important factor that affect the health of elderly people. We analyzed the 2006 and 2010 data from the Chinese Urban and Rural Elderly Population Surveys, which are nationally representative surveys of elderly people aged 60 years and above. We found that there existed a typical power-law distribution for the rates of different numbers of chronic diseases among elderly Chinese people. A Kolmogorov-Smirnov test indicated that the result was robust, and the power exponents were approximately ?2.5. In addition, a paired t-test was conducted, which demonstrated that the rates of different numbers of chronic diseases did not have significant urban-rural differences, time differences or gender differences.

Kolmogorov's ε-Entropy of Bounded Sets in Discrete Spaces and Attractors of Dissipative Lattice Systems

We obtain an estimate of the upper bound for Kolmogorov＇s ε-entropy for the bounded sets with small ＂tail＂ in discrete spaces, then we present a sufficient condition for the existence of a global attractor for dissipative lattice systems in a reflexive Banach discrete space and establish an upper bound of Kolmogorov＇s ε-entropy of the global attractor for lattice systems.

异形大跨指廊屋盖脉动风压非高斯特性研究

基于刚性模型测压风洞试验,研究异形大跨屋盖的平均风压分布及脉动风压非高斯特征,分别采用高阶统计量法和柯尔莫哥洛夫-斯米尔诺夫(Kolmogorov-Smirnov,K-S)检验法对脉动风压的非高斯特性进行判别并划分其分布区域,最后通过5种概率分布模型对非高斯脉动风压的概率分布进行拟合。结果表明:屋盖表面平均风压以负压分布为主,且负压极值多出现于屋脊或屋面转角的气流分离区;异形大跨屋盖脉动风压的非高斯特性显著,非高斯脉动风压主要出现在屋面迎风前缘、指廊背风侧和屋面转角处,相较于高阶统计量法,K-S检验法的划分结果集中度更好,规律性更强;通过相关系数和均方根误差评价拟合效果,5种概率分布模型中的Weibull模型对非高斯脉动风压概率分布的拟合效果最佳。

Upper Semicontinuity and Kolmogorov ε-Entropy of Global Attractor for κ-Dimensional Lattice Dynamical System Corresponding to Klein-Gordon-SchrSdinger Equation

In this paper, we establish the existence of a global attractor for a coupled κ-dimensional lattice dynamical system governed by a discrete version of the Klein-Gordon-SchrSdinger Equation. An estimate of the upper bound of the Kohnogorov ε-entropy of the global attractor is made by a method of element decomposition and the covering property of a polyhedron by balls of radii ε in a finite dimensional space. Finally, a scheme to approximate the global attractor by the global attractors of finite-dimensional ordinary differential systems is presented .

Gumbel分布的基本风压计算与分析

统计了中国159个代表性城市在1951—2008年的历年最大风速值,采用Gumbel分布进行统计分析并对其参数进行估算。用矩法和耿贝尔法分别计算出重现期为10、50、100a的基本风压值,并采用柯尔莫哥洛夫检验法进行检验,最后与规范取值进行对比分析。结果表明,当采用Gumbel分布对中国各地区的最大风速年极值进行统计时,耿贝尔法比矩法拟合效果好;重现期为10、50、100a的基本风压值对比分析表明,《建筑结构荷载规范》(GB 50009)的基本风压值与采用近58a的历年最大风速值计算的基本分压值相比存在较大差异,表明规范计算的采样数据少,取值已经不能真实反映中国的基本风压情况,建议进行相应修订。

交通流中的分形研究

为了探索交通流变化是否具有分形特性,首先利用小波分析对交通流时间序列中的分形特性进行了初步的实证和理论分析。在此基础上,对交通流时间序列进行了R/S(Re-scale Range Analysis)分析,以侦测交通流长程相关性。最后,对该交通流时间序列的关联维数和Kolmogorov熵进行了计算。研究结果表明,交通流变化具有分形特性。这一结论对交通流理论建模、交通流短时预测和交通管控策略的制定具有重要的意义.

利用Kolmogorov-Smirnov统计的区域化图像分割

目的为了在未知或无法建立图像模型的情况下,实现统计图像分割,提出一种结合Voronoi几何划分、KS(Kolmogorov-Smirnov)统计以及M-H(Metropolis-Hastings)算法的图像分割方法。方法首先利用Voronoi划分将图像域划分成不同的子区域,而每个子区域为待分割同质区域的一个组成部分,并利用K-S统计定义类属异质性势能函数,然后应用非约束吉布斯表达式构建概率分布函数,最后采用M-H算法进行采样,从而实现图像分割。结果采用本文算法,分别对模拟图像、合成图像、真实光学和SAR图像进行分割实验,针对模拟图像和合成图像,分割结果精度均达到98%以上,取得较好的分割结果。结论提出基于区域的图像分割算法,由于该算法中图像分割模型的建立无需原先假设同质区域内像素光谱测度的概率分布,因此提出算法具有广泛的适用性。为未知或无法建立图像模型的统计图像分割提供了一种新思路。

基于BB算法的左截断威布尔分布可靠性分析

针对寿命分布类型和参数估计方法问题,对国内某航空公司现役机型B737-800飞机主起落架减振支柱漏油故障数据进行可靠性分析。结合数据类型特点,初步预判其寿命分布类型可能为左截断两参数威布尔分布、对数正态分布、指数分布。基于极大似然估计法分别估计三种分布的未知参数,并利用根据BB算法改进的柯尔莫哥洛夫-斯米尔诺夫假设检验(K-S检验)法判断其寿命分布类型。实证分析结果表明,采用左截断两参数威布尔分布来拟合是合适的,并提出了具体维修建议。

基于威布尔分布的谷物干燥机可靠性分析

为了提高谷物干燥机的使用寿命,减少其故障的维修次数,运用可靠性分析理论对其使用寿命进行了分析研究。首先,对某型号谷物干燥机的维修数据进行了分析整理,根据维修记录得到的故障间隔时间拟合出了威布尔概率(WPP)图,基于图形法初步确定了其服从二参数威布尔分布;然后,利用点估计的优良性判别准则,采用粒子群算法求解似然函数得出了估计值,将其作为威布尔分布模型的参数;最后,采用K-S检验法对威布尔分布模型进行了检验,并在此基础上求得了谷物干燥机故障间隔时间的概率密度函数、概率分布函数和可靠度函数。研究结果表明:谷物干燥机的故障间隔时间服从二参数威布尔分布,并计算得到干燥机的平均故障间隔时间为249.8 h,且在可靠度为0.9时,预防性维修周期为137.6 h;该方法具有较高的精确度和易用性,对企业制定合理的维修决策具有一定的参考价值。

一种裂隙岩体力学参数的评价方法及应用

针对裂隙岩体的力学参数选取问题,提出了一种两阶段评价方法.通过裂隙岩体力学参数的三维空间分布情况,评价其各向同性与各向异性状态,对两类情况采用不同的计算模型处理;采用Kolmogorov-Smirnov(K-S)检验法对力学参数的概率分布模型进行假设检验,对检验合格的试验数据分布进行置信区间选取,在给定的置信区间内获取计算参数.在某地下硐室工程中运用该方法进行了开挖模拟计算,计算位移与实测位移吻合较好.

有限论域F神经元集团活动的马尔克夫模型

本文给出了有限论域上模糊神经元集团活动的马尔克夫模型,并给出了泊松近似模型.

一个定理的不恰当证明方法辨析

本文分析了Kolmogorov不等式的一个推论的证明过程,指出了证明过程中存在的问题,并通过实例分析了这种证明方法中的错误之处,进而给出了正确的证明过程。

频率选择信道下的空时分组码盲识别

在单接收天线下,针对频率选择性衰落信道下空时分组码(STBC)的盲识别问题,提出了一种基于Kolmogorov-Smirnov(K-S)检测的有效算法。该算法以经验累积分布函数作为特征函数,通过K-S检测经验累积分布函数之间的距离,达到识别空时分组码的目的。在不同调制方式、采样因子和置信区间的条件下分别对算法进行仿真并讨论其性能,结果表明,该算法性能较好,在信噪比大于6 d B时可达到90%以上的正确识别概率,在非合作通信方面具有一定的实用价值。

斜坡接岸码头面板波浪上托力出现类型和统计分布

码头面板波浪上托力具有明显的随机性,规则波试验得到的结果也相当离散。通过对1:1.5斜坡接岸码头面板波浪上托力出现类型和统计特征的分析说明这一特点。当码头面板在静水面以上的高度超过一定范围时,对应每个试验,波浪上托力出现可能性具有一定的随机性,这种随机性称作“出现类型”,出现类型分为不出现、偶然出现、间歇出现、连续出现四种。采用K-S法,对同一试验条件得到的全部波浪上托力数据的分布概型作了检验,计算结果表明波浪上托力分布同时满足г分布和极值I型分布。