共查询到19条相似文献,搜索用时 140 毫秒
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算子概率范数与共鸣定理 总被引:2,自引:0,他引:2
提出概率赋范线性空间上集合有界性的简化定义,利用算子概率范数概念。进一步研究概率赋范线性空间上的线性算子理论,并在算子概率赋范空间上,建立了概率有界、概率半有界、非概率无界意义下的共鸣定理。 相似文献
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考虑相依人群中任意选择的 n个个体之间的所有可能的同源遗传关系 ,定义了相应的δ概率以及它们之间的乘积运算 ,提出了基本基因型概念 ,得到了这 n个个体的联合基因型概率分布公式 .具体研究了 3个个体的所有同源遗传关系 ,给出了所有的δ概率 ,α概率 ,δ概率与α概率的关系 ,以及分别用δ概率和α概率表示的联合基因型概率分布公式 ,并在进化平衡状态下得出了所有的δ概率与θ概率之间的关系 . 相似文献
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从后验概率的应用看Bayes概率的意义 总被引:1,自引:0,他引:1
某厂有一条自动化生产线,根据以前的经验知它正常运转的概率是95%。正常运转时生产90%的合格品,不正常运转时可生产40%的合格品。某日进行抽样检查,先抽取了一件产品,检验后发现它是合格品;又抽取了一件产品,检验后发现它是废品。根据两次抽样结果推测一下,生产线属于正常运转的概率有多大。这个问题中生产线正常运转的先验概率是95%,现在产生了新的信息,即两次抽样中一次是合格品,一次是废品,在获取的这种新信息下,再推算生产线正常运转的概率即是后验概率,后验概率可用Bayes公式来计算。用A表示生产线正常… 相似文献
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关于"条件概率"的几个问题 总被引:1,自引:0,他引:1
一、条件概率的意义 :条件概率是概率论中的一个很重要的概念。设 A,B是两个事件 ,且 P( A) >0 ,定义 P( B|A) =P( AB)P( A) ,并称之为在已知事件 A已经发生的条件下 ,事件 B发生的条件概率。条件概率的意义 ,可以从以下三个方面来阐述 :1 .几何直观意义我们可用单位正方形表示样本空间Ω。用正方形内任一封闭曲线围成的图形表示事件 ,而把图形的面积理解为相应事件的概率。设 A Ω ,B Ω ,(见图 1 )图 1无条件概率 (或称为绝对概率 ) P( B) =P( B)P(Ω ) (注意 P(Ω ) =1 ) ,几何直观上 ,相当于 B在空间Ω中所占的比例。亦可表… 相似文献
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利用势为3的非均匀概率空间的无穷乘积在三值标准序列逻辑系统中引入了公式的概率真度概念,证明了全体公式的概率真度值之集在[0,1]中没有孤立点;利用概率真度定义了概率相似度和伪距离,进而建立了概率逻辑度量空间,证明了该空间中没有孤立点,为三值命题的近似推理理论提供了一种可能的框架. 相似文献
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浅谈概率论与数理统计的教学 总被引:6,自引:0,他引:6
概率论与数理统计跟其它的数学分支课程相比,有其特殊的思维模式.本文主要从激发学生学习兴趣、平行概念类比教学、锻炼概率思维,N重视“辨误”数学四个方面阐述了如何搞好概率统计课的教学. 相似文献
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Ronald R Yager 《Fuzzy Sets and Systems》1984,13(3):273-283
A representation of the probability associated with a fuzzy subset is presented. This representation, which is itself a fuzzy subset of the unit interval, is defined by the intersection of an upper and lower bound on the probability of the fuzzy event. 相似文献
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In this paper, we propose an efficient technique for linearizing facility location problems with site-dependent failure probabilities, focusing on the unreliable p-median problem. Our approach is based on the use of a specialized flow network, which we refer to as a probability chain, to evaluate compound probability terms. The resulting linear model is compact in size. The method can be employed in a straightforward way to linearize similarly structured problems, such as the maximum expected covering problem. We further discuss how probability chains can be extended to problems with co-location and other, more general problem classes. Additional lower bounds as well as valid inequalities for use within a branch and cut algorithm are introduced to significantly speed up overall solution time. Computational results are presented for several test problems showing the efficiency of our linear model in comparison to existing problem formulations. 相似文献
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Philippe Smets 《Fuzzy Sets and Systems》1982,7(2):153-164
Axioms are proposed that could justify the natural definition of the probability of a fuzzy event initially given by Zadeh. They are based (1) on the postulate that the sum of the conditional probability of a fuzzy event and of its complement given any fuzzy event adds to one or (2) on soft independence for orthogonal sets with independent constitutive elements. A general postulate is also required concerning the complement of a fuzzy set. The classical definition of the operator representing the complement can also be deduced. 相似文献
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Alex Orden 《Mathematical Programming》1980,19(1):3-13
Probability distributions are assumed for the coefficients in simplex tableaus. A probability of success in one simplex iteration is then derived; for example, the probability of a tableau which satisfies the criteria for optimality except in one row becoming fully optimal in one iteration. Such results are expressed in terms of tableau size parameters. 相似文献
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本文用失效树分析法,对现有锚具进行失效分析,计算出失效概率.同时,对锚具主要零件夹片的夹口曲线进行概率优化,使优化后的曲线对在公差范围内合格钢筋的拟合概率最大,从而设计出新的锚具及夹片.夹口曲线的求法也为其它类型锚具夹片的设计提供了一种新的方法. 相似文献
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J.B. Paris D. Picado Muio M. Rosefield 《International Journal of Approximate Reasoning》2009,50(8):1151
We treat the sentences in a finite inconsistent knowledge base as assertions that are true with probability at least some primary threshold η and consider as consequences those assertions entailed to have probability at least some secondary threshold ζ. 相似文献
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