Results 11 to 20 of about 12,894 (297)
Quantum Set Theory Extending the Standard Probabilistic Interpretation of Quantum Theory (Extended Abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 The notion of equality between two observables will play many important roles in foundations of quantum theory. However, the standard probabilistic interpretation based on the conventional Born formula does not give the probability of equality relation ...
Masanao Ozawa
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New extreme value theory for maxima of maxima
Statistical Theory and Related Fields, 2021 Although advanced statistical models have been proposed to fit complex data better, the advances of science and technology have generated more complex data, e.g., Big Data, in which existing probability theory and statistical models find their ...
Wenzhi Cao, Zhengjun Zhang
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Random Fields in Physics, Biology and Data Science
Frontiers in Physics, 2021 A random field is the representation of the joint probability distribution for a set of random variables. Markov fields, in particular, have a long standing tradition as the theoretical foundation of many applications in statistical physics and ...
Enrique Hernández-Lemus +1 more
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Logical perspectives on the foundations of probability
Open Mathematics, 2023 We illustrate how a variety of logical methods and techniques provide useful, though currently underappreciated, tools in the foundations and applications of reasoning under uncertainty.
Hosni Hykel, Landes Jürgen
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How Quantum Mechanics Requires Non-Additive Measures
Entropy, 2023 Measure theory is used in physics, not just to capture classical probability, but also to quantify the number of states. In previous works, we found that state quantification plays a foundational role in classical mechanics, and, therefore, we set ...
Gabriele Carcassi, Christine A. Aidala
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Response to Johnson: A random sample versus the radical event
Finance and Society, 2016 Timothy Johnson's working hypothesis in his review of my latest book, The Medium of Contingency, is that I (as well as the ‘quants’ involved in the derivative pricing industry) do not understand the foundations of abstract probability theory.
Elie Ayache
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Инженерно-строительный журнал, 2016 GOST R 54257–2010 recommends calculating the reliability of the earth foundations of structures by probabilistic methods with full statistical information about random quantities. Currently, there are no guidelines for calculating the reliabilityof earth
V.S. Utkin
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Civil and Environmental Engineering, 2021 The main aim of the article is demonstrating successful design of spread foundations of a commercial centre building, where geotechnical monitoring allows us to check design efficiency and calculate reliability in comparison with real vertical ...
Drusa Marian +5 more
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Projective Capital Asset Pricing Model
Современные инновации, системы и технологии, 2022 This paper is interested in exploring the capabilities and limitations of investment decision making under uncertainty through the lens of Quantum Probabilities/formalism stand and will be focusing on the Capital Asset Pricing Model as use case.
A. Shabi
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The Topology of Quantum Theory and Social Choice
Quantum Reports, 2022 Based on the axioms of quantum theory, we identify a class of topological singularities that encode a fundamental difference between classic and quantum probability, and explain quantum theory’s puzzles and phenomena in simple mathematical terms so they ...
Graciela Chichilnisky
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