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Robust best invariant unbiased estimator, quadratical form, variance/covariance components

稳健最优不变二次无偏估计,二次型,方差和协方差分量

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。

Only two papers known to the author discussed the possible relationship between the estimates of Km and Vmax. Colquhoun (196 9) found a strong positive correlation between these estimates in a simulation study. Subsequently, Oliver (1970) examined this relationship by the asymptotic variance-covariance matrices. These simulation and mathematical analyses were based on the assumption that the substrate concentration is error-free, with the error confined to the reaction velocity. In addition, their work was confined to the several estimation methods.

就作者所知,在本研究发表之前仅有两篇文章讨论过估计值之间的相关性。1969年,Colquhoun通过计算机仿真,发现了估计值之间存在正相关关系,1970年,Oliver用渐近方差-协方差矩阵检验了这一点,但是他们的发现有很大的局限性,其一是限于仅反应速度的测量值有误差这一种情况,其二是限于某几种估计方法。

Variance component model of the random effects of covariance matrix unit for the "Linear model introduction" matrix has been studied.

方差分量模型的随机效应的协方差为单位阵时《线性模型引论》已进行研究。

Windows evaluation algorithm based on covariance function was proposed to evaluate the measure variance of electronic compass and micromechanical gyroscope.

提出了基于协方差函数的加窗估计算法,用于在线估计电子罗盘和微机械陀螺的测量方差。

Here we estimate and tune the background error covariance matrix which adapts to China region.

实际研究表明,背景场误差协方差在全球不同的区域,方差和特征长度各不相同。

Another emphasis in this study is analyzing the effect of change in the variance, covariance and different elasticity.

除此之外,为了更清楚了解金融市场对最优权重的影响,本文重点分析了分配给两国货币权重大小的比较以及方差、协方差和各种资产需求弹性的变化所引起的最优权重的变化。

For TSFEM, the formulas of the mean value and the variance of water head at each node are derived directly with Taylor series expansions.

由此可计算出每个节点水头的均值、方差和协方差,这样就获得模型结果的不确定性。

And the variance of background error covariance obtained by NMC-method is tuned with the IV-method results.

将NMC方法统计的结果,结合已有的Ⅳ方法的结果对误差协方差的方差部分进行了调整。

Some problems in the application of data reconciliation, including the estimation of measurement error variances, nonlinear data reconciliation are discussed. And some results are given.

分析和研究了数据校正的一些实际应用问题,包括测量误差的方差-协方差估计和非线性数据协调问题等,并给出了一些实例验证。

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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