贝叶斯

Secondly, this thesis discusses the method of applying Bayesian Network inferring mechanism to educational hypermedia system.

研究了教育超媒体领域内运用贝叶斯网络进行推理的方法。

Then modeling procedure based on SVM classification algorithm within Bayesian framework is proposed and applied to fault diagnosis of industrial process and heart disease diagnosis.

在此基础上，提出了贝叶斯框架下支持向量机分类算法的建模方法，并应用于工业过程故障诊断和心脏病诊断。

Actuarial science applies mathematical methods in insurance and is a science between applied mathematics and insurance. Bonus-malus system of automobile insurance is an important topic in actuarial science. Markov chain, Bayes theory, the theory of delay differential equation and dynamic programming are used to study BMS, especially optimal BMS, of automobile third-party liability insurance in this dissertation, which is organized as follows:First, we study the properties of Chinese present BMS.

精算学是将数学方法应用于金融保险所形成的一套理论体系，是应用数学研究领域和金融保险研究领域这两者之间的一个边缘学科，汽车保险奖惩系统是现代精算学中的一个重要研究课题，本文主要用马尔可夫链、贝叶斯理论、时滞微分方程理论与动态规划等研究汽车第三者责任保险奖惩系统，特别是最优奖惩系统。

Such as dynamic model, parameters estimation, interposition, application steps and so on.

第五章，小批量生产过程中的使用统计质量控制方法所面临的突出问题是如何充分利用有关过程的信息（包括客观的历史数据和主观的经验与判断），本章提出了应用贝叶斯预测理论的动态质量控制方法，详细研究了这一方法的动态建模、参数估计、模型干预及实施步骤，进行了计算机仿真试验和应用研究。

The one order differential model and convolutional model of impedance formula of amplitude versus offset inversion were established. Impedance inversion formula from AVO was derived based on Bayesian framework. Methods of using Huber function as prior model parameter distribution and covariance matrix from well log as constrains were developed. The P-wave impedance, S-wave impedance and density were calculated by the conjugate gradient algorithm.

为此建立了振幅随偏移距变化波阻抗反演公式的一阶差分模型及褶积模型，推导了基于贝叶斯理论的AVO波阻抗反演公式，给出了采用Huber分布作为模型参数的先验分布及测井数据的参数协方差矩阵作为约束条件的实现方法，并利用共轭梯度法计算了纵、横波阻抗及密度。

In the ***, all types and fundamental principles of Radon transform are summarized systematacially. This *** starts from the general linear Radon transform, and then researches how to use the damped least square method to find the solution of the forward transform. However, the least squares smoothing effect will lead to a certain degree of trails in the data of Radon domain, which led to the application\'s limitations. After that the implementation in Radon domain and relative merits of linear Radon transform, parabolic Radon transform and polynomial Radon transform which have time invariance are introduced, the conjugate gradient method that can solve numerical solution is also given. And then the high resolution Randon transform is discussed, it introduces the regularization theory and Bayes principle into inversion, which successfully remove the negative affect caused by discrete Radon transform. Finally, we introduce the optimal weighting similar coefficient Radon transform, which adapt to the time variant quality of hyperbolic Radon transform.

本文系统总结了Radon变换的各种类型及其基本原理，从τ- p变换(即一般线性Radon变换)出发，研究利用阻尼最小二乘平方法求解其正变换，但是最小平方法的平滑作用会导致Radon域数据存在一定程度的拖尾效应，给这种方法的应用带来了很大的局限性；然后先容了具有时不变性的线性、抛物和多项式Radon变换在频率域的实现及其优缺点，给出了求解其数值解的共轭梯度算法；接着讨论了高分辨率Radon变换，它把正则化思想和贝叶斯原理引进到了反演中，很好的克服了离散Radon变换产生的截断效应对结果的不利影响；最后先容了适应双曲Radon变换时变性质的高分辨率最优相似系数加权Radon变换。

Bayesian Analysis ; MCMC Simulation ; Jeffreys's Prior ; ARMS Sampling ; Robust Parameter Design ; Non-normal Response

贝叶斯分析； MCMC模拟； Jeffreys先验； ARMS抽样；稳健参数设计；非正态响应

Finally we studied the problem of the lower Bayesian confidence limit on the process capability index C_ The Jeffreys'non-informative prior distribution depending on Fisher's information is explored. The posterior distribution of C_is conducted.

最后，研究了C_pm指数置信下限的问题，通过Fisher信息阵确定Jeffrey无信息先验分布，推导出C_pm的后验分布，并据此采用最大后验密度方法构造了贝叶斯置信下限。

This paper firstly reports three kinds of technique of text automatic category based on statistic ( k nearest neighbor ,support vector machine and nave bayes),and analyses their advantages and disadvantages.

本文首先介绍三种基于统计的自动分类技术(k近邻分类器、支持向量机分类器和朴素贝叶斯分类器)，剖析了基于统计的自动分类的优势及不足。

This paper firstly reports three kinds of technique of text automatic category based on statistic (k nearest neighbor, support vector machine and nave bayes), and analyses their advantages and disadvantages.

本文首先介绍三种基於统计的自动分类技术（k近邻分类器、支持向量机分类器和朴素贝叶斯分类器），剖析了基於统计的自动分类的优势及不足。

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。