共查询到17条相似文献,搜索用时 109 毫秒
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在解答条件概率问题的过程中,厘清条件概率中的“条件”与事件发生的“条件”是关键一环,解题者往往对条件概率中的“条件”与事件发生的“条件”之间的关系分析不到位,认识不明晰,导致问题的关系不清,解答产生意想不到的错误.下文对条件概率中的“条件”与事件发生的“条件”的常见关系举例剖析,供读者参考. 相似文献
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条件概率是新课标教材中的新增内容,由于它与大家经常碰到的积事件概率貌似却神异,故不少师生容易将二者混为一谈,从而导致错解发生,为此,下面通过一道题的求解及辨析澄清一下条件概率与积事件概率的本质区别,以解大家之惑. 相似文献
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一种基于证据推理的信息不完全的多准则决策方法 总被引:4,自引:1,他引:4
针对权系数信息不完全、准则值不确定且不完全的多准则决策问题,提出了一种基于证据推理的方法.该方法通过证据推理算法构造方案的目标函数,结合不完全信息的权系数建立非线性规划模型,使用遗传算法求解模型得到效用值的区间数,从而得到整个方案集的排序.最后以实例表明该方法的有效性和可行性. 相似文献
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离散事件动态系统的关键路径与扰动分析 总被引:9,自引:0,他引:9
具有存储器的串行生产线是一典型离故事件动态系统.本文在其极大代数上线性状态方程的基础上,定义了关键路径,并研究了关键路径的特性.通过关键路径,给出了其扰动分析方法. 相似文献
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文章针对传感器网络下一类具有衰减测量和概率通讯延迟的随机时变非线性系统,研究该类系统的分布式一致滤波算法设计问题.首先,考虑到传感器网络的拓扑结构,状态估计信息可在相关节点间进行交换.注意到相邻节点间的信息传输会产生概率通讯延迟现象,提出事件触发传输方案旨在减少交换传感器节点之间误差较大的估计信息.每个传感器节点使用相邻节点发送的信息来修正自身的状态,从而构造相应的分布式一致滤波器.通过最小化滤波误差协方差上界的迹来求出滤波器增益以及一致增益.此外,对滤波误差协方差上界矩阵的单调性进行理论分析,并通过数值仿真验证所提出的滤波算法的可行性和有效性. 相似文献
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本文利用条件概率的定义,由随机变量分布函数的性质,给出一般情形下随机变量条件分布函数的定义,以帮助学生更好地理解随机变量的条件分布函数的概念. 相似文献
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Philippe Smets 《Fuzzy Sets and Systems》1981,5(3):259-266
A model simulating the medical diagnostic process is presented. Diagnostic groups are considered as fuzzy sets. Partial knowledge is quantified by belief functions. The process is considered as the evaluation by the clinician of his degree of belief concerning the belonging of his patient to a fuzzy set given fuzzy and partial informations. 相似文献
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在专家系统中,由于证据的不确定性和推理规则的不确定性,推理也相应地发生变化,需要对证据进行合成、传播与修正。有许多文献进行了研究[2],[3],[4],但已有的方法大都是针对不同的不确定性推理给出不同的方法。“本文旨在给出不确定性推理中证据合成、传播与修正的一般公式。 相似文献
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Theory of evidence — A survey of its mathematical foundations,applications and computational aspects
The mathematical theory of evidence has been introduced by Glenn Shafer in 1976 as a new approach to the representation of uncertainty. This theory can be represented under several distinct but more or less equivalent forms. Probabilistic interpretations of evidence theory have their roots in Arthur Dempster's multivalued mappings of probability spaces. This leads to random set and more generally to random filter models of evidence. In this probabilistic view evidence is seen as more or less probable arguments for certain hypotheses and they can be used to support those hypotheses to certain degrees. These degrees of support are in fact the reliabilities with which the hypotheses can be derived from the evidence. Alternatively, the mathematical theory of evidence can be founded axiomatically on the notion of belief functions or on the allocation of belief masses to subsets of a frame of discernment. These approaches aim to present evidence theory as an extension of probability theory. Evidence theory has been used to represent uncertainty in expert systems, especially in the domain of diagnostics. It can be applied to decision analysis and it gives a new perspective for statistical analysis. Among its further applications are image processing, project planning and scheduling and risk analysis. The computational problems of evidence theory are well understood and even though the problem is complex, efficient methods are available.Research partly supported by Grants No. 21-30186.90 and 21-32660.91 of the Swiss National Foundation for Scientific Research. 相似文献
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事件域是概率论与数理统计中一个非常重要的定义,事件域的引入有利于规范概率论的理论.本文对事件域做了详细的分析,阐述了事件域引入的含义,解决了在教师教学和学生学习事件域时的一些疑惑. 相似文献
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Brent J. Carswell Michael I. Stessin 《Journal of Mathematical Analysis and Applications》2008,341(1):270-275
For any σ-algebra of measurable subsets of the unit disk generated by a finite Blaschke product, we prove that the associated conditional expectation operator commutes with the Bergman projection operator if and only if the σ-algebra is generated by a monomial. In the process, a formula for the conditional expectation operator (under certain assumptions) is obtained. When compared with earlier results of A.B. Aleksandrov concerning conditional expectation associated with σ-algebras of measurable subsets of the circle, our results exhibit a stark contrast between the way conditional expectation operators act in the Bergman and Hardy space settings. 相似文献