后验

A new symbol-constrained joint source-channel decoding algorithm for VLCs is presented.By constructing double-tree VLCs sources,the propagation-error problem is evidently alleviated.Meanwhile,by applying symbol-constrained method to MAP algorithm,not only the a priori probability of VLCs sources is efficiently utilized,but also the Symbol Error Rate is reduced enormously.

提出了一种新的针对不等长编码信源的符号约束MAP联合译码算法，利用VLCs双树信源的构造方法，有效地抑制了VLCs的错误扩散；同时，通过将"符号约束"的思想应用于最大后验概率译码算法，不仅充分利用了信源先验信息，而且极大地降低了误符号率。

Alternating minimization cost function and maximization poster probability is proposed to restore the blurred image. The method is divided two step, one step is EM step, it is to estimate the PSF by using minimimum-error criteria, the other step is M step, we use MAP criteria to restore the blurred image.

EMM方法分为两个步骤，第一个步骤是EM步骤，利用最小恢复残差准则，估计系统的点扩散函数PSF，第二个步骤是M步骤，利用最大后验概率准则恢复模糊图像。

So it can balance all factors affecting decision accurately.(2) Bayesian Network methods can avoid subjective prejudice brought by apriority information, sightless search when we lack sample information, and the infection of interferential factors.

2Bayesian网络中的理论方法既可避免只使用先验信息可能带来的主观偏见，和缺乏样本信息时的大量盲目搜索，也可避免只使用后验信息带来的干扰因素的影响。

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。

This paper based on Bayes posterior probability formula, establishes a dynamic model for the identification of fractures by using five performance paramete1 such as water breakthrough period, waterline movement velocity, using velocity of water cut, cumulative injection production ratio, and injection pressure. It carries out an analogy between the samples to be distinguished and the known ones to confirm how to classify them.

将油水井见水周期、水线推进速度、含水上升速度、累积注采比、注水压力等5个参数作为动态变量，基于Bayse后验概率公式建立动态裂缝识别模型，将待判别的样品与已知类型的样品进行类比，以确定待判别样品的归类。

In most cases, Bayes solution based on the mean of the posterior distribution will be better than the traditional one.

在大多数情况下，基于后验分布的贝叶斯解会优于传统解。

The situation after the first M step is shown in plot, in which the mean of the blue Gaussian has moved to the mean of the data set, weighted by the probabilities of each data point belonging to the blue cluster, in other words it has moved to the centre of mass of the blue ink. Similarly, the covariance of the blue Gaussian is set equal to the covariance of the blue ink.

图显示了初始的 E 步骤，用红色表示用红色 component 产生的后验概率，蓝色也是同样的情况，还有一些不太确定的点是用紫色显示的，在图中蓝色的高斯的均值已经移到了蓝色数据集的中心上，类似的，蓝色高斯的协方差设为蓝色点的协方差。

In Chapter 5, we obtain the Bayes estimations of regression coefficient under the balanced loss posterior risk by the three kinds of experiential distributions about the parameters.

第5章就线性回归模型在平衡损失后验风险下，针对参数服从三种不同的先验分布，分别得到平衡损失下的Bayes估计。

A novel MAP image restoration method in Dual-tree Complex Wavelet Transform domain is proposed.

提出了一种双树复小波变换域最大后验概率图像复原方法。

A posterior computable condition for the stability of the adaptive scheme is also provided in this paper.

基 于本文建立的l1优化设计的连续性，证明了自适应鲁棒控制的全局稳定性，给出了自适应控制系统稳定性的后验可计算条件。

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。