posterior distributions

The results show that the posterior distributions of parameters are dissymmetrical .

计算结果表明，贝叶斯推断的参数后验分布是不对称的；

The results evaluated by the present method are the parameters ' posterior distributions , different from those of the traditional approaches .

与以往方法不同，所提出的方法得到的是参数的分布。

To generate the sample by Gibbs sampler , we first derive all of the conditional posterior distributions .

由于参数联合后验密度的复杂性，我们导出了所有的条件后验分布，以便利用Gibbs抽样器方法抽取后验密度的样本。

Then regarding the predictive distribution as prior distribution , the posterior distributions of the reliability are obtained combining with the information from flight tests .

利用此预测分布作为验前分布结合飞行试验信息得到可靠性的验后分布。

Marginal posterior distributions of failure rate in last phase are derived under the assumption that the development process constrains the failure rates to be nonincreasing .

在假设研制过程中失效率是非增的约束下，导出了最末阶段失效率的边缘验后分布。

Based on a prior information on the reliability or on the hazard rate , the posterior distributions of reliability parameters , such as reliability , reliable life , are derived .

基于工程实践中关于可靠性的验前信息或失效率的验前信息，给出了可靠性参数，如可靠性、可靠寿命等的验后分布。

Frame-skipping data brings the difficulties in calculating the posterior distributions of the states , viz . how to design a better transition model to describe objects moving between frames .

跳帧现象给目标跟踪带来的困难是状态后验分布的计算困难，即如何设计一个转移模型来描述目标在两帧间的移动。

Resulted indicated that global searching method could solve global optimization well and also was an efficient step to acquire auxiliary information of parameters , And MCMC method could sample posterior distributions of parameters effectively ;

数值试验表明，全局搜索法能较好解决参数全局寻优问题，是获取参数辅助信息的重要手段。

Based on the predicted yields in 2008 and the posterior distributions , it calculates the county-level pure premium rate of rice yield insurance , the average premium rate is 2.99 % , and the standard error is 0.62 .

基于2008年预测单产及其后验分布，厘定了当年各县市水稻产量保险的纯费率，平均费率为2.99%，标准差为0.62。

On the other hand , as is well-known , estimating parameters via observations would not make sense if without identifiability , and identifiability is one of the preconditions to prove asymptotic conver-gence properties of parameter estimates or posterior distributions .

另外，众所周知，如果可识别性不成立，那么基于观测值来估计参数将会变得毫无意义，而且，可识别性也是证明参数估计或者后验分布的渐近收敛性质的前提条件之一。

The posterior marginal distributions on reliability were deduced by comprehensively making use of prior information and field test information at every stage .

综合利用了先验信息和每一阶段现场试验信息，推导了各阶段可靠性的后验边际分布。

In Bayes estimation problems , we show that under certain conditions on the loss function , the Bayes estimator is robust , i. e. , the Bayes estimator is a continuous functional of posterior distribution ( with respect to the Kolmogorov distance between posterior distributions ) .

在Bayes估计问题中，我们证明了当损失函数满足一定条件时，所对应的Bayes估计是稳健的：即Bayes估计是后验分布的连续泛函（相对于后验分布之间的Kolmogorov距离）。