估计理论

The author introduces process, designs, models, hypotheses, and estimated variance component of Generalizability Theory at length on the basis of three kinds of educational test theories.

本文在简要回顾三大测量理论的基础上，较详细的阐述了概化理论的步骤、设计方案、模型和假设、方差分量估计等。

In theory analysis, we give and proof comesponding estimators'approximate theory on basis of eigenvalue method.

在理论分析中，基于特征值法，给出并证明了相应的估计量的逼近理论。

In this thesis, we discuss several problems which exist to qualitative theory of the functional differential equation, within which we develop further two important theories, so-called the 3/2 - stability theory and the distribution of zeros of solutions of the functional differential equation.

本文中，我们对泛函微分方程定性研究中存在的若干理论问题进行探讨，对其中两个重要问题即3/2—稳定性理论和零点距估计问题，作了进一步推广。

Using the method of linear response theory in lattice dynamics on the basis of Tyson's model, the response displacements of atoms on cleavage plane at the incipience of brittle fracture was derived and an expression for evaluating brittle fracture surface energy of metals was found.

本文在Tyson模型的基础上，应用点阵动力学线性响应的理论方法，导出了脆断发生时解理面上原子的响应位移，并进而给出金属脆断表面能的计算公式。这种处理方式既保持了解理断裂面是结晶的表现，避免了局域"熔化"和"沸腾"模拟脆断的简单模型中出现的非晶化问题，也对解理面上原子临界位移做了合理估计，避免了人为规定临界位移的随意性，同时，从理论上得出的脆断时产生的声发射信号与实际探测到的量级相近。

By the minimum risk Bayes decision theory, this paper develops a new way of image segmentation: establish the mathematics model of image segmentation; estimate the probability density of grey scales and figure out its math-expectation and square difference that accord with normal distribution and the loss function; and judge the every pixel dot in the image according to the minimum risk Bayes decision theory and determine whether it is of target or non-target images, thereby realizing the extraction of the target image.

依据最小风险贝叶斯决策理论，提出了一种基于最小风险贝叶斯决策的图像分割方法。首先建立图像分割的最小风险贝叶斯决策模型，对灰度级类条件概率密度估计出其符合正态分布的数学期望和方差以及损失函数，再依据最小风险贝叶斯决策理论对图像中的每一像素点进行目标图像和非目标图像的类别判断，从而实现目标图像的提取。

By means of Floquet theory,Lyalpunov function, Hurwitz criterion, linearization, Lasalle invariable set principle,, characteristic line, coincidence degree, estimation of inequality ,numerical simulation and so on, we study two kinds of models with impulsive vaccination.

其中综合运用Floquet 原理、Lyapunov函数、 Hurwitz判据、线性化、 Lasalle不变集、数值模拟、射频映射、分支理论、不等式估计、重合度理论等方法和知识，系统地研究了两类实施脉冲疫苗策略的非线性模型。

In the front of this chapter,using operator inner-outer faetorization,we reduce the estimation problem to a distance minimization between a certain operator and the nest algebra in question.

本章第一节，利用算子中的内外分解理论以及Banach空间的对偶理论，将估计问题约化为某个算子与讨论的套代数之间的一个距离问题。

Using this theoretical formula, we estimated the inherent frequency of penstock system in Three Gorges hydropower station.

利用此理论公式，估计了三峡电厂引水系统的实际固有频率，所得结果与实测值比较接近，从理论上证实了水体共振引发异常振动的可能性。

Based on the previous works, the paper first introduced and summed up the princi ples and characteristics of information processing of ANNs. Then the paper placed em phasis on their algorithms and theory foundation of application for operator approxima tion and patern recognition to lay the theory base for the study of the data-driven joint inversion.

在前人研究的基础上，本文首先归纳和总结了人工神经网络的基本原理和信息处理特征，并着重讨论了BP神经网络的算法原理和它在估计映射算子和模式识别方面应用的理论依据，为本次数据驱动的联合反演研究奠定了理论基础。

However,for the large dimensional data.the sample covariance matrix is not a good estimator of the population counterpart.Many methods of parametric estimations and tests for multivariate statistical problems can not be simply used to deal with large dimensional data.

但是由于经典的大样本理论都是假定维数很小是固定的，故而经典极限理论并不适宜解决大维随机数据问题，很多多元问题的模型参数估计、模型检验的统计量已有的结果对大维海量数据并不能平凡推广。

So that more consumers can enjoy more delicious quality, technology is even better than wine.

让更多的消费者可以品尝到品质更为鲜美，工艺更为精湛的葡萄酒。

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在你最喜爱的文本编辑器中将它打开。