贝叶

K2 algorithm using Bayesian network built from the a priori probability to achieve reasoning, structure learning, parameter learning.

详细说明：用k2算法从先验概率构建贝叶斯网络，实现推理，结构学习，参数学习用贝叶斯方法。

The application of total probability formula and Bayes formula for sample space on which two disservements and these formulas of the sample space have proved.

讨论了样本空间有不同划分时全概公式和贝叶斯公式的应用方法，给出了样本空间有两种划分时全概公式和贝叶斯公式的证明。

Uses of Bayes formula in statistical Decisions;2. Considering the influence of the distorted information on fault location,a method for fault location in distribution network is presented based on Bayes formula .

从解决配电网故障信息发生畸变影响故障定位入手，提出了一种运用贝叶斯公式的配电网故障定位方法，并建立了利用贝叶斯公式最大显著度条件的故障定位模型。

Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有：(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题；(2)拟合出10余种典型分布的Beta分布的两个参数，并且采用剩余标准差评价该Beta分布的拟合精度；(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示；(4)在假设先验分布为均匀分布前提下，得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式；(5)利用直接抽样的Gibbs抽样算法，从后验分布中产生MCMC样本，从样本直接计算均方误差损失函数下的贝叶斯点估计，并使用一种近似方法计算其置信区间，完成区间估计。

It has been widely used in the areas like fire alarm prediction, quality control and biostatistics ever since proposed.

在本文中，我们回顾了近半个多世纪以来前人在经验贝叶斯方法上所作的主要工作，整理并推导了一些常用分布的经验贝叶斯估计结果。

Spam ; Bayesian Classifying Method ; Vector Space Model ; Naive Bayesian Method

垃圾邮件；贝叶斯分类；向量空间模型；朴素贝叶斯分类

Pixel values in an image window are taken as a realization of a BN, and the structure and parameters of BN for each texture class are then studied. The conditional distribution probability of the pixels is used as the feature for texture classification.

把纹理图像在一个窗口内各个像素的灰度值看作贝叶斯网络的一次实现，通过训练得到各类纹理所对应贝叶斯网络的结构和参数，用纹理图像像素点在网络中的条件概率分布作为特征进行纹理分类。

Every research result shows that Bayesian Classifier acts as one important class technology, Compared with Decision Tree Construction and Neural Network Classifier, Bayesian Classifier can adequately bring into play its incertitude discursion ability, so it can ameliorate learning ability and increase accuracy of forecast, it have better class effect in some conditions.

各种研究结果表明：贝叶斯分类作为数据挖掘中一项重要的分类技术，与决策树和神经网络分类器相比，贝叶斯网络分类器可以充分发挥它的不确定性推理能力，从而改善学习效果，提高预测准确率，在某些情况下具有更好的分类效果。

In chapterⅡ, considering GLMMs data which the number of high units is different and the number of low units is small and unbalanced, we Conduct a series of simulations, the simulations show that regardless of the number of the level 2 units,the Bayesian estimate of random effects residual variance is more precise than PQL and the PQL estimation deviates from the true value seriously; In terms of the fixed effects estimates, When the number of level 2 units is 20, The mean and median of the Bayesian estimate is more precise than PQL,But With the number of level 2 units increase,the estimate of two methods is similar. Thus, in practical applications, we recommend the use of Bayesian method.

第二章针对不同高水平单位数，低水平数较小且不平衡的GLMMs数据，进行模拟研究，研究表明：无论水平2单位数的大小，贝叶斯方法随机效应残差方差估计值远比PQL法更接近真实值，PQL法严重偏离了真实值；而对固定效应参数估计值，当水平2单位数为20时，贝叶斯法各参数的均数和中位数均要较PQL法更接近真实值，而随着水平2单位数的增加，两种方法在估计固定效应参数时相差并不大，因而，在实际应用中，推荐采用贝叶斯法。

Axiomatic developments of utility theory and subjective probability, and elements of Bayesian theory.

效用理论和主观概率的发展，贝叶斯理论基础。密歇根大学贝叶斯决策分析、贝叶斯推断。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。