Stochastic independence for probability MV-algebras

Lapenta S.; Leustean I.

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Stochastic independence for probability MV-algebras

机译：概率MV代数的随机独立性

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We propose a notion of stochastic independence for probability MV-algebras, addressing an open problem posed by Rie. can and Mundici. Furthermore, we prove a representation theorem for probability MV-algebras and we get MV-algebraic versions of the Holder inequality and the Hausdorff moment problem. (c) 2015 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2016年第1期|194-206|共13页
作者
Lapenta S.; Leustean I.;
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作者单位

Univ Salerno, Dept Math, Via Giovanni Paolo 2, I-84084 Fisciano, SA, Italy;

Univ Bucharest, Dept Comp Sci, Fac Math & Comp Sci, Bucharest, Romania;

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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
Probability MV-algebra; State; Stochastic independence;

机译：概率MV代数;状态;随机独立性;

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机译：MV-代数概率论中的条件独立性
2. Metric Completions of MV-algebras with States: An Approach to Stochastic Independence [J] . IOANA LEUSTEAN Journal of logic and computation . 2011,第3期

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3. On the independence of the value function for stochastic differential games of the probability space [J] . N.V. Krylov Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability . 2014,第12期

机译：关于概率空间随机微分对策的值函数的独立性
4. The Concept of Non-Symmetric Independence on MV-Algebras [C] . Martin Kalina, Olga Nanasiova International Conference on Soft Methods in Probability and Statistics(SMPS'2004); 200405; Oviedo(ES) . 2004

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5. Independence properties and learning in graph-theoretic probability representations. [D] . Albright, Russell D. 2001

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6. On Computing the Key Probability in the Stochastically CurtailedSequential Probability Ratio Test [O] . Alan R. Huebner, Matthew D. Finkelman 2016

机译：关于随机削减时的关键概率的计算顺序概率比检验
7. 14 Stochastic independence for probability MV-algebras [O] . Serafina Lapenta, Ioana Leuştean 2016

机译：14概率mV-代数的随机独立性
8. Stochastic Analysis and Applied Probability(3.3.1): Topics in the Theory and Applications of Stochastic Analysis. [R] . Budhiraja, A. 2015

机译：随机分析与应用概率（3.3.1）：随机分析理论与应用的主题。

Stochastic independence for probability MV-algebras

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