假设检验

Hypothesis testing entails using data to compare the null hypothesis with a second hypothesis, i.e., the alternative hypothesis.

假设检验利用数据将零假设和另一个假设进行比较。

Describes general methods of hypothesis testing and optimality properties of tests: Neyman-Pearson theory, likelihood ratio tests, score and Wald tests, uniformly and locally most powerful tests, asymptotic relative efficiency of tests.

假设检验和经验的最有性质： Neyman-Pearson 理论，似然比率估计，score 和 Wald 经验，一致最大功效检验，局部最大功效检验，检验的渐进相对有效性。

The common method, that all strong-correlation terms of the model are eliminated, can bring the loss in the engineering application, so the new method is proposed that the identified model reserves some correlation. The augmented matrix A is constructed by the outputΔW and the matrix S. The"determinating order based on ratio of determinant"is brought out to screen the strong-correlation terms in the structure identification. The latent root estimation is improved in screening the eigenvalues and eigenvectors. Thus the estimation precision is improved greatly.The consistence check of guidance instrument error coefficients of flight test and ground test is the purpose of flight experiment. The causes of inconsistency of the two models are analyzed. The hypothesis test of linear regression model based on F statistics is proposed to check the consistence.Finally, the instability of error coefficients is probably caused by the change of the flight environments, therefore, the relation between the error coefficients and flight environment is analyzed. The approach is presented to identify SINS guidance instrument error models and compensate the error in the segmented sections corresponding to the change of vertical acceleration of aircraft.

在结构辨识中，常用的方法由于将模型中的强相关项全部剔除而给工程应用带来损失，因此，本文提出了新的有益思想，即在保留一定相关性的基础上进行辨识：将输出向量ΔW与环境函数矩阵S构成增广矩阵A，然后采用"比定阶行列式"来剔除相关向量的方法，这样既可以尽可能多地保留了对落点影响大的强相关参数，又可以对落点影响小的强相关参数给予剔除；在参数估计中，改进了特征根估计中特征根和特征向量的筛选方法，提出"近零"准则，从而大大提高了参数估计的精度；再者，鉴于天地模型"一致性"检验是飞行试验和SINS制导工具误差系数分离的主要目的，因此，本文又深入分析了造成天地模型不一致的原因，提出了采用基于F统计的线性回归模型假设检验方法来进行捷联制导工具误差模型的天地"一致性"检验；最后，鉴于飞行环境剧烈变化可能会对惯性仪表误差系数稳定性带来一定的影响，因此本文深入地分析了SINS制导工具误差系数与外界环境的关系，提出了基于过载变化大小的分段辨识和分段实时补偿的算法。

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 want to testMany authors try to use the customary likelihood ratio test for this hypothesis testing problems.

我们想要检验 Ho：α=0；H1：α＞0 很多作者尝试用传统的极大似然比检验去检验这个假设检验问题。

The empirical test results show that there is "expectation puzzle" in the test, long-term rates overact to the market shock, and so the expectations hypothesis cannot hold in China.

检验结果表明，我国利率期限结构的预期假设检验出现了"预期迷惑"现象，我国长期利率对市场冲击发生过度反应，利率期限结构预期假设不成立。

This paper points out the problems about using statistical hypothesis test, analyses the relation between two types of errors and proposes the Bayes method to the persons when they have no enough knowledge about the null hypothesis.

本文首先指出实际工作中使用统计假设检验方法常出现的问题，具体介绍了假设检验方法，并分析两种错误之间的关系。

In the entire mathematical statistic, hypothesis test is a very importants and valuable part, but it exists the risk of committing two kinds of errors.

在整个数理统计中，假设检验是一个很重要很有应用价值的部分，但假设检验中存在着犯两类错误的风险。

The problem of statistical discission in finite mixing distribution model and linear model is discussed in this thesis,including:Firstly,in the aspect of hypothesis test,we mainly discuss the general homogeneous hypothesis testing problem.

现将主要内容概述如下：一、在假设检验方面，本文主要研究了正态混合分稚模型的同构性检验问题，也就是说，检验观测数据究竟是来自单一的正态总体，还是混合正态总体。

In addition, the potential advantages and constraints of using a dual-hypothesis testing strategy were discussed, as well as its relation with the reasoners' working memory. In Experiment 2, a group of university students were instructed on the limited dual-hypothesis testing developed by the researchers. Their performance in the rule-discovery task significantly improved when compared with the contrast group.c

我们讨论采用双假设测试法的可能优势并考虑工作记忆资源的限制，据此我们指导另一组大学生采用一种「有限的双假设测试策略」，结果一般大学生在假设检验推理作业上的成功率由26.7%大幅提升至81.8%。

I think he's learned how to approach hitters....

Johhny Damon说，『他已是最好的了，再没有人能够比他做的更好，我想他的球技已经完全成熟了，而且他也已经学会了如何去对付和压迫各种打击者。。。。。。

In effect, an 18 foot King Cobra could actually look down onto the average human being.

际上，一个18尺眼镜蛇王其实可以俯视到的平均人。