后验的

On the premise that the quantity of the test is ensured, a scheme of reliability acceptance test in binomial case is formulated by using prior information efficiently.

在试验样本量一定的条件下，充分利用验前信息弥补现场试验信息的不足，从平均后验风险角度制定了成败型系统可靠性鉴定试验的Bayes方案。

The theorem of convergence of opinions is regarded as the dynamic principle of rationality concerning the subjective probability, and therefore is used to resolve Hume's problem, i.

意见收敛定理是主观主义概率论的一条重要定理，它表明随着证据的增加，验前概率的主观性将被验后概率的客观性所代替。

The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。

In this paper, a speckle reduction method for SAR images based on Dual Tree Complex Wavelet Transform is proposed. It first presumes the probability distribution function for complex wavelet coefficients of the original nature image, and then applies MAP theory to estimate coefficients from the noisy wavelet coefficients. Filtered image can be derived after inversed DTCWT.

该方法首先对无噪声污染图像的复数小波系数的统计概率分布进行建模；然后利用此先验概率模型，采用最大后验概率方法从含噪小波系数中估计出无噪声污染的小波系数：最后经重构得到滤波后的图像。

However the posterior density functions of character parameter, skew parameter and location parameter are multi-mode, so the slice sampling is used to make the algorithm more efficient.

其中辅助变量的后验密度是单峰的，因此引入自适应舍选抽样来提高效率，而特征参数、偏度参数和位置参数的后验密度是多峰的，用切片抽样来处理效果较好。

The case study shows that the method proposed can provide the posterior distribution of parameters of Nash model based on posterior information of parameters.

实例研究表明，该方法能充分利用已知的后验信息获取Nash模型参数的不确定性，得到其后验分布。

The difficulty in statistical inference using Bayesian approach is calculating the posterior margin distribution, in most situations, it is very difficult to do so and even the formula can not be got.

运用Bayes 统计分析的方法进行统计推断的难点在于其后验边际分布的计算，在很多情况下很难，甚至不可能得到后验边际分布的解析表示，有时虽然可能得到解析表示但是结果相当复杂，不便于应用和推广。

Further more, based on the analysis of Bayesian AR model and MA model , we analyzed the Bayesian ARMA model and its mathematical structure. Mainly analyzed the Bayesian ARMA(1,1) model, and constructed the model condition likelihood function and the parameters posterior distribution.

同时，以时间序列AR模型及MA模型的贝叶斯分析为基础进行了时间序列ARMA模型的贝叶斯分析，从分析ARMA模型的数学结构开始，重点进行了ARMA(1，1)模型的贝叶斯分析；构建了模型的条件似然函数和参数的先验分布，推导其参数的条件后验密度和边缘后验密度；并借用一组SAS软件模拟的ARMA(1，1)序列，通过WinBUGS进行仿真分析。

From statistical point of view, this is a Bayesian one in which a posterior probability density surface is calculated for points on a grid in the parameter space.

从统计观点上讲，这是一种在参数空间对每个栅格点计算后验概率密度的Bayesian统计，采用平滑函数对不规则的后验概率密度曲面进行平滑化，从而在置信的95尹。

Secondly, the properties of output sequences of stop-and-go clocked combiners are discussed. It is proved that the output sequences are stationary and obey strong law of large numbers and central limit theorem. Using the probabilistic model properly built, we analyze the rate of coincidence between the output sequences of two kinds of generators with basic operations and corresponding LFSRs sequences. All the computational formulae are derived. A recursive algorithm for efficiently computing the poster probability of partial input strings and corresponding joint probability is introduced. Moreover, divide-and-conquer attacks on this kind of generators which reconstruct the initial states of the input stop-and-go generators individually are proposed.

其次，分析了一般钟控停走组合生成器输出序列的概率分布性质，证明了生成器的输出序列是严平稳的，且服从强大数定律和中心极限定理；考察了钟控加法型组合生成器和钟控乘法型组合生成器的输出序列和相应的常规钟控下线性移位寄存器序列之间的符合率，给出了符合率的具体计算公式；给出了组合器输出序列段和输入序列段之间的联合分布以及部分输入序列段的后验概率的有效递归算法，进一步提出了利用后验概率对钟控组合生成器进行分别征服相关攻击的方法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。