Results 1 to 10 of about 12,775 (179)
Mathematical Foundations of Probability Theory [PDF]
, 2018 In the footsteps of the book \textit{Measure Theory and Integration By and For the Learner} of our series in Probability Theory and Statistics, we intended to devote a special volume of the very probabilistic aspects of the first cited theory. The book might have assigned the title : From Measure Theory and Integration to Probability Theory.
Gane Samb Lô
+6 more sources
Foundations of abstract probability theory [PDF]
, 2021 12 ...
Yu.Yu. Yurchenko
openaire +3 more sources
Foundations of non-commutative probability theory [PDF]
Proceedings of the 12th Conference on Theoretical Aspects of Rationality and Knowledge, 2009 Kolmogorov's setting for probability theory is given an original generalization to account for probabilities arising from Quantum Mechanics. The sample space has a central role in this presentation and random variables, i.e., observables, are defined in a natural way.
Daniel Lehmann
openaire +3 more sources
MATHEMATICAL FOUNDATIONS OF PROBABILITY THEORY
, 2023 This article talks about the mathematical foundations of probability theory. Throughout the article, various ideas and considerations are explained on the basis of examples. Conclusions and suggestions are given at the end of the article.
F.Joʻrayev
openaire +3 more sources
Algorithmic Information Theory and Foundations of Probability [PDF]
, 2009 The use of algorithmic information theory (Kolmogorov complexity theory) to explain the relation between mathematical probability theory and `real world' is discussed.
Alexander Shen
openaire +4 more sources
Foundations of Constructive Probability Theory [PDF]
, 2019 Chapter on Markov processes rewritten for clarity; spelling, notation, and minor mathematical errors corrected elsewhere.
Yuen-Kwok Chan
openaire +3 more sources
Information-Theoretic Perspectives on Chemical Problems: Recent Developments and Applications [PDF]
EntropyInformation-theoretic approach (ITA) has emerged as a powerful density-based framework for interpreting molecular structure, stability, and reactivity within density functional theory (DFT). By treating the electron density as a probability distribution,
Arpita Poddar, Pratim Kumar Chattaraj
doaj +2 more sources
Quantum Probability and The Foundations of Quantum Theory [PDF]
, 1990 The point of view advocated, in the last ten years, by quantum probability about the foundations of quantum mechanics, is based on the investigation of the mathematical consequences of a deep and elementary idea developed by the founding fathers of quantum mechanics and accepted nowadays as a truism by most physicists, namely: one should be careful ...
Luigi Accardi
openaire +3 more sources
Foundational Problems of Quantum Theory: Novel Approach to Temporal Probability Density
Journal of Physics: Theories and Applications, 2022 Present study focuses on some foundational problems of quantum theory specifically deals with the concept of probability density and relating introductory problems.
Mustafa Erol, M. Emre Kuzucu
doaj +1 more source
Construction of Fuzzy Numbers via Cumulative Distribution Function
Mathematics, 2022 The first person to introduce possibility theory was Lotfi A. Zadeh, in 1977. It was, of course, of no coincidence that he directly combined it with the theory of fuzzy sets.
Georgios Souliotis +2 more
doaj +1 more source