查询词典 infinitely divisible distribution

Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有：(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题；(2)拟合出10余种典型分布的Beta分布的两个参数，并且采用剩余标准差评价该Beta分布的拟合精度；(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示；(4)在假设先验分布为均匀分布前提下，得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式；(5)利用直接抽样的Gibbs抽样算法，从后验分布中产生MCMC样本，从样本直接计算均方误差损失函数下的贝叶斯点估计，并使用一种近似方法计算其置信区间，完成区间估计。

This thesis mainly discuss following issues, Theory and simple expressions for array covariance matrixes are derived when angular spread functions are symmetric distribution functions, i. e. the Uniform distribution, the Gauss distribution, the Laplace distribution and the Von Mises distribution, and a non-symmetric distribution function, i. e. the Gamma distribution. And the relation between the effective signal subspace and the array number, or and the nominal angle of the distributed source, the angular spread, the distributed functions, and the Signal-to-Noise Ratio is gained. The dimension of the effective signal subspace increases with increment of the array number. And it is more obvious to the non-symmetric distribution. The dimension of the effective signal subspace decreases with increment of the nominal angle. And the distributed source is equal to a point source as θ=π/2. The dimension of the effective signal subspace increases with increment of the angular spread.

本论文针对阵列信号处理中广泛存在的分布源现象，主要讨论了以下问题：推导了角度分布函数分别为对称的均匀分布、高斯分布、拉普拉斯分布、Von Mises分布和非对称的伽马分布时，分布源阵列接收信号协方差阵的严格模型和简化模型，得到了单个分布源的有效信号子空间随阵元数、分布源中心角、分布角、角度分布函数和信噪比的变化规律：随着阵元数的增加，对所有角度分布函数的有效信号子空间维数也随着增加，且非对称分布函数的有效信号子空间充满整个空间的可能性更大；随着分布源中心角逐步增加，有效信号子空间维数逐步减小，当θ=π/2时，等价于点源情形；随着分布源分布角逐渐加大，有效信号子空间维数也随之增加，直到有效信号子空间充满整个空间；随着信噪比的增加，有效信号子空间维数有一定程度的减少。

At first, beginning with legal definition of power and right of distribution----the core concept of distributive institute, the paper analyses the characteristics of power and right of distribution, types and nature and legal attribute of it, proposed the concept of the power of distribution and the right of distribution, among them, the national power of distribution mainly include the planed regulatory power of GNP distribution, the distributive power of national finance, the power of taxation, the regulatory power of banking, the intervene power of price distribution etc. the distributive right of enterprise's income and the distributive right of resident's income are the main content of the right of distribution.

首先从作为分配法律制度核心范畴的分配权的法律界定入手，详细全面地分析了分配权的特征、类型划分、性质和部门法归属，提出了以调整国民收入分配关系为目标的国民收入分配的计划调控权、国家财政分配权、征税权、金融调控权、价格分配干预权等为主要内容的国家分配权力，以及以企业收入分配权、个人收入分配权为组成部分的分配权利的法律内容。

Fourier analysis of distributions, central limit problem and infinitely divisible laws, conditional expectations, martingales.

分布的Fourier分析，中心极限问题和无限可分法则，条件期望，鞅。

Events,Operation and Relation of Sets, Classical Probability, Geometrical Probability , Statistical Stability of a Frequency, Axioms of Probability, Conditional Probability, Total Probability Theorem, Bayes' Rule,Independent Events,Independent Repeated Trials, One Dimensional Random Variables, Discrete Random Variables, Distribution Function of a Random Variables , Continuous Random Variables, Normal Distribution, Distribution of a Function of a Random Variable, Multidimensional Random Variables, Joint Distribution Function, Marginal Distribution Function,Discrete Two—Dimensional Random Variables,Continuous Two—Dimensional Random Variables, Independent Random Variables, Distribution of Functions of Random Variables,Expectation,Variance, Covariance, Coefficient of Correlation, Bivariate Normal Distribution, Law of Large Numbers, The Central Limit Theorems, Sample and Population ,Chi—Squared, T and F Distributions , Sampling Distributions , Point Estimation , Interval Estimation , Testing Hypotheses , A Test of Significance for Parameters in a Single Sample From a Normally Distributed Population , A Test of Significance for Parameters in Two Sample From Normally Distributed Populations .

本课程的主要内容：概率的概念与运算、随机变量及其分布、随机变量的数字特征与极限定理、数理统计的基本概念、估计和检验的基本方法，随机事件与概率随机事件、事件的关系与运算、几何概率、统计概率等，条件概率、全概率公式、贝叶斯公式、事件的独立性、二项概率公式，随机变量的概念、离散型随机变量、随机变量的分布函数、连续型随机变量、随机变量函数的分布，多维随机变量及其分布函数、边缘分布函数、随机变量的独立性、二维随机变量函数的分布，数学期望、方差、协方差和相关系数、大数定律、中心极限定理，总体与样本， X 2-分布、 t-分布和 F-分布，统计量及抽样分布，假设检验的基本概念、单个正态总体参数的显著性检验、两个正态总体参数的显著性检验。

The main purpose of the thesis is choosing the more superior distribution among normal distribution, logarithmic normal distribution, weibull distribution, beta distribution and gamma distribution when they are used for fitting and forecasting ten main trees diameter distribution of natural secondary forest in baotianman on basis of analyzing and comparing the data from the 32 plots of natural secondary forest in baotianman.

以宝天曼天然次生林32块样地的调查数据为依据，分别以正态分布、对数正态分布，Weibull分布，Beta分布，Gamma分布拟合及预测宝天曼自然保护区天然次生林10种主要乔木树种直径分布，并对其适用性进行分析、比较，选出最适合于拟合及预测该林分直径结构的分布。

I am a lantern — My head a moon Of Japanese paper, my gold beaten skin Infinitely delicate and infinitely expensive.

我是个灯笼——我的头是日本纸做的月亮，我那锤薄了的金色皮肤无限娇嫩，无限昂贵。

Mind is just as much present in the Infinitely large as in the Infinitely small.

它既存在於「无穷大」中，也存在於「无穷小」中。

Linear is infinitely large section of the circle, the point is infinitely small circle, the spiral is the synthesis and other factors.

直线是无限大的圆之一段，点即是无限小的圆，螺旋则是国与其它因素的合成。

He described material world as follows, Anything infinitely big has no boundary and so it is called 'large infinity'; anything infinitely small has nothing in it and so it is called 'small infinity'.

在对物质世界的描绘上他说：「真正大的东西是没有范围的，我们称之谓大一；真正细微、渺小的东西是空无一物的，我们称之谓小一。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。