正态分布函数

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。

We take them as examples for listing the microcanonical distribution,the canonical distribution and the grand canonical distribution for illustrating the idea.

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式，并以常用的微正则分布、正则分布和巨正则分布予以印证。

We take them as examples for listing the micro canonical distribution ,the canonical distribution and thegrand canonical distribution for illustrating the idea.

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式，并以常用的微正则分布、正则分布和巨正则分布予以印证。

Particularly,we use Normal and NIG conditional distribution functions respectively to combine these dynamic models.

特别地，正态条件分布函数和正态逆高斯条件分布函数被分别地与这些动态模型结合起来。

Chapter six presents a two-waves sampling method to estimate a distribution function of a discrete random variable Y.

第六章研究在数据缺失机制形式未知时，通过两步抽样得到了分布函数的相合的估计量，且该估计量是渐近正态的。

The software system not only performs common process capability index computation, common distribution function computation and curve fitting, but also has the function especially for computing process capability index for non-normal distribution and multivariate.

该软件不仅包含常规工序能力指数的计算，通常遇到的分布函数的计算与拟合，而且具有非正态和多变量工序能力指数计算两个重要模块。

Using it we can approximately obtain the expectation of any function,using the certain quantity the random sample particle to express the posterior density of random variable in the model,and can be used in the any non-linear random models.

粒子滤波算法是一种适用于非线性非正态约束的基于模拟的统计滤波算法，可以近似得到任意函数的数学期望，利用一定数量的随机样本粒子来表示模型中随机变量的后验概率分布，并且能应用于任意非线性随机模型。

The purpose of this study is to evaluate various data processing methods, including logarithmic transformation, robust statistics, excluding outliers and Box-Cox transformation for evaluating soil total P content with normal distribution. The result showed that Box-Cox transformation was applied in order to achieve normality in the data set and to dampen the effect of outliers. Geostatistical analyses were carried out, including calculation of experimental variograms and model fitting. The best theoretical model for semivariogram of soil total P were spherical model.

结果表明，Box-Cox转化成功地使数据集服从正态分布并消弱了异常值的影响，应用地统计学分析方法进行了实验变异函数的计算和最适合模型的拟合，得出土壤全磷最好的理论模型为球状模型，随后用普通克立格估值方法绘制了土壤全磷的空间分布图。

Results Based on solving system of linear equations, A.

结果 勒让德在先驱者解线性方程组的基础上，以整体的思想方法创立了最小二乘法；高斯由寻找随机误差函数为突破，以独特的概率思想导出了正态分布，详尽地阐述了最小二乘法的理论依据。

Results Based on solving system of linear equations,A.M.

结果勒让德在先驱者解线性方程组的基础上，以整体的思想方法创立了最小二乘法；高斯由寻找随机误差函数为突破，以独特的概率思想导出了正态分布，详尽地阐述了最小二乘法的理论依据。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。