贝叶

Bayesian and empirical Bayesian theory are used to estimate the scale parameter of the double exponential distribution and the loss function and risk function of the Weibull distribution.

中文摘要：本文将贝叶斯，经验贝叶斯理论应用于双指数分布族的刻度参数估计和Weibull分布的损失函数和风险函数的估计。

This paper presents a Bayes method to estimate the expected proportions for high-way contingency tables appropriate when prior knowledge about the interaction effects can be described by a particular kind of exchangeability assumption.

用Logits变换方法来讨论列联表的贝叶期估计，这时的估计称为贝叶斯对数线性估计，最早是由Lconard（1973，1975）提出的。

Bayesian Network is the combination of Bayesian theory and the graph theory.

贝叶斯网络是贝叶斯方法与图形理论的有机结合。

With the analysis of the features of tree system,potential aspects which could influence tree classification results are studied,the factors that should be taken into consideration in modelling hibernal tree classification are proposed and are concluded to six main aspects of features,amongst them the most correlated contents and information for classification are picked up to set up hibernal trees classification model,and finally implements the classification model with Bayes,which accomplishes a hibernal tree classification system based on Bayes.

通过分析树木体系的特征，研究并分析了可能影响树木分类结果的几个方面，提出了树木分类建模时应该考虑的因素，并将其归纳为六个方面，从中抽取与分类最相关的内容和信息，构建了冬态树木分类的模型，最后用贝叶斯方法实现了该分类模型，完成了基于贝叶斯的冬态树木分类系统。

The Bayesian analysis of the multiple equation linear system is an important part of Bayesian inference theory for linear model.

指出多重线性模型系统的贝叶斯预报分析是贝叶斯线性模型理论的重要组成部分。

The Bayesian analysis of the multiple equation linear system is an important part of Bayesian inference theory about linear model.

多方程线性模型系统的贝叶斯预报分析是贝叶斯线性模型理论的重要组成部分。

P×P and P were two major non-Bayesian algorithms. 6 Less than 25% of the participants used frequency. In those who got other results except P , much more people used probability. Experiment 2 had a randomized multigroup posttest design. There was only one factor named implied condition which had five levels: not imply, imply P, imply addition, imply division and imply all. The results showed that: 1 All the implied conditions significantly improved the participants' performance. When under the condition of implying division, the participants derived the best results. 2 31.9% of the participants got correct answer, 73% of who used frequency to rewrite the information. 3 78% of the participants could apply one or several of the four concepts: probability of "not the event", multiplication rule, addition rule and condition probability.

结果表明：1 被试的估计受问题内容的影响，权威型问题情境容易使被试高估，非权威型问题情境使被试的高估现象大大减少；数据结构和提问形式对被试估计不产生影响。2 有近5%的被试能正确估计P，其中 73%使用频数对信息进行再表征。3 贝叶斯推理中各分步骤的困难程度由低到高分别是：乘法、P、加法、除法。4 有50%的被试能运用对立事件概率、概率乘法、概率加法、条件概率这四个概念中的一种或者几种。5 使用最多的两种非贝叶斯算法是P×P和P。6 不到25%的被试使用频数；求得除P以外各类结果的被试中，使用概率的人数远多于使用频数的。

From the twenty century, the computer technology has great development, which made the computation of the posterior distribution based on the multidimensional integral possible.

二十世纪以来，计算机技术得到了空前的发展，这使得以多维积分为基础的贝叶斯后验概率的计算成为可能，这也推动了贝叶斯计量经济学的发展。

The research result could be used as prior distribution in Bayes approach to evaluate uncertainty in optical measurement with practical prospect.

研究结果可以作为贝叶斯统计中的数据先验分布，用于对一般测量进行贝叶斯方法的不确定度评定。

Criteria for model comparison were residual variance estimates, minus two log likelihood function, Akaike's information criterion, Bayesian information criterion, Bayesian factor, information-theoretic measure of model complexity, and percent relative reduction of complexity.

模型的统计标准有总剩余方差、似然函数对数值、Akaike信息尺度、贝叶斯信息准则、贝叶斯因子、模型复杂性尺度和复杂性相对下降率。

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。