Updating coherent previsions on finite spaces

Enrique Miranda

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Updating coherent previsions on finite spaces

机译：更新有限空间上的相干前提

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摘要

We compare the different notions of conditional coherence within the behavioural theory of imprecise probabilities when all the spaces are finite. We show that the differences between the notions are due to conditioning on sets of (lower, and in some cases upper) probability zero. Next, we characterise the range of coherent extensions in the finite case, proving that the greatest coherent extensions can always be calculated using the notion of regular extension, and we discuss the extensions of our results to infinite spaces.

机译：当所有空间都是有限的时，我们在不精确概率行为理论中比较了条件一致性的不同概念。我们表明，概念之间的差异是由于对（较低，在某些情况下较高）概率为零的条件集所造成的。接下来，我们在有限情况下表征相干扩展的范围，证明最大的相干扩展总是可以使用正则扩展的概念来计算，并且我们讨论了将结果扩展到无限空间的情况。

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来源
《Fuzzy sets and systems》 |2009年第9期|1286-1307|共22页
作者
Enrique Miranda;
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作者单位

Department of Statistics and Operations Research, University of Oviedo, C-Calve Sotelo, s 33007 Oviedo, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
ncn-additive measures; lower previsions; avoiding partial loss; weak and strong coherence; regular extension; natural extension;

机译：ncn加法;较低的预设;避免部分损失;连贯性弱;定期扩展;自然延伸;

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专利

1. Errors bounds for finite approximations of coherent lower previsions on finite probability spaces [J] . Skulj Damjan 高分子論文集 . 2019,第FEBa期

机译：有限概率空间上相干下限的有限逼近的误差界
2. Errors Bounds for Finite Approximations of Coherent Lower Previsions [J] . Damjan ?kulj JMLR: Workshop and Conference Proceedings . 2017,第3期

机译：相干下限的有限近似的误差界
3. Finitely additive extensions of distribution functions and moment sequences: The coherent lower prevision approach [J] . Enrique Miranda, Gert de Cooman, Erik Quaeghebeur International Journal of Approximate Reasoning . 2008,第1期

机译：分布函数和矩序列的有限加性扩展：相干的下层预置方法
4. Characterizing the Set of Coherent Lower Previsions with a Finite Number of Constraints or Vertices [C] . Erik Quaeghebeur Uncertainty in artificial intelligence . 2010

机译：用有限数量的约束或顶点来表征一组相干的下级前置
5. Model updating and structural health monitoring of horizontal axis wind turbines via advanced spinning finite elements and stochastic subspace identification methods. [D] . Velazquez Hernandez, Antonio. 2014

机译：通过先进的旋转有限元和随机子空间识别方法对水平轴风力发电机组进行模型更新和结构健康监测。
6. Previsional space during direct laryngoscopy: Implication in the difficult laryngoscopy: Erratum [O] . -1

机译：直接喉镜检查时的前间隙：困难喉镜检查的含义：勘误
7. Updating coherent previsions on finite spaces [O] . Enrique Miranda 2016

机译：更新有限空间的连贯预设
8. Discrete coherent states and probability distributions in finite-dimensional spaces [R] . Galetti, D. , Marchiolli, M. A. 1995

机译：有限维空间中的离散相干态和概率分布

Updating coherent previsions on finite spaces

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