先验分布

Study is made of Bayes estimation of the error rate proportionality parameter θ in the JM model for testing software reliability,leading to the a priori,a posteriori distribution of θ and the coresponding Bayes estimates on the Bayes assumption,Jeffrey s principle and conjugate dis- tribution,together with their comparison and discussion.

讨论了软件可靠性模型——JM 模型中故障率比例参数θ的 Bayes 估计问题，分别求出了在贝叶斯假设、杰弗莱原则和共轭分布原则下参数θ的先验分布、后验分布及相应的 Bayes 估计，并对它们进行了比较和讨论。

In this paper, the formula of Expect Bayes estimation of the reliability under entropy loss function and square loss function for geometric distribution have been given, when the prior distribution of the reliability is power distribution.

本文在几何分布的先验分布为幂分布时研究了其在熵损失函数下，可靠度的多层Bayes估计及其容许性，给出了可靠度的多层Bayes估计的计算公式。

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。

First we review the combination of data from life tests, the consideration of this show that a Gamma distribution for the prior of failure rate can be assumed.

首先，介绍了寿命试验数据的信息融合方法，并以此为例，说明了取伽玛分布为指数分布寿命型产品失效率的先验分布的合理性。

By using the theory of the likelihood ratio test, a method for choosing prior distributions and classes of prior distribution is given.

利用似然比检验原理，给出了选取先验分布及先验分布族的似然比检验方法。

Firstly, by using the theory of the likelihood ratio test, a method of likelihood ratio test for choosing prior distributions and classes of prior distribution is given.

主要内容如下：首先，利用似然比检验原理给出了选取先验分布及先验分布族的似然比检验方法。

To the establishment of prior distribution in RGTE, considering that reliability growth test data belongs to a dynamic parent population, and based on the stage reliability growth test data, the dynamic modeling methods for prior distribution establishment are studied.

在可靠性增长试验评定先验分布的确定方面，针对可靠性增长试验数据的动态统计母体特点，基于阶段可靠性增长试验数据，对可靠性增长试验评定中先验分布确定的动态建模方法进行研究。

In this paper, we take the Priori distribution in the Stochastic Linear Programming as the uncertain information quantity.

本文把随机线性规划问题的先验分布，理解为对该问题的不确定性的信息的度量，从而利用信息理论来确定问题的先验分布。

The concrete example indicates that the priors and classes chosen by this method are robust.

实例表明，由该方法得到的先验分布及先验分布族具有较好的稳健性。

The simulate example indicates that the priors and classes chosen by this method are robust.

该例表明，由该方法选取的先验分布及先验分布族具有较好的稳健性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。