Results 11 to 20 of about 2,707 (234)
Physical Review X, 2022 Stochastic processes play a key role for modeling a huge variety of transport problems out of equilibrium, with manifold applications throughout the natural and social sciences.
Massimiliano Giona +2 more
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On MV-Algebraic Versions of the Strong Law of Large Numbers
Entropy, 2019 Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
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On certain limit theorems of the theory of probability [PDF]
Bulletin of the American Mathematical Society, 1946 Not ...
Erdös, P., Kac, M.
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A Proof of the Generalized Second-Limit Theorem in the Theory of Probability [PDF]
Transactions of the American Mathematical Society, 1931 A particular case is represented by dF(x) =f(x)dx, where f(x), summable and >0, is the "probability density" or "law of distribution" for x. The expression f -'.xsdF(x) is called the "sth moment" of the distribution, s taking values 0, 1, 2, The Second Limit-Theorem, which was the starting point of this paper, can be stated, with A.
Fréchet, Maurice, Shohat, J.
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Limit theorems in bi-free probability theory [PDF]
Probability Theory and Related Fields, 2018 31 ...
Hasebe, Takahiro +2 more
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On the Special Issue “Limit Theorems of Probability Theory”
Mathematics, 2023 M [...]
Alexander N. Tikhomirov +1 more
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The Nonadditive Entropy Sq and Its Applications in Physics and Elsewhere: Some Remarks
Entropy, 2011 The nonadditive entropy Sq has been introduced in 1988 focusing on a generalization of Boltzmann–Gibbs (BG) statistical mechanics. The aim was to cover a (possibly wide) class of systems among those very many which violate hypothesis such as ergodicity ...
Constantino Tsallis
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IEEE Access, 2018 Data-driven approaches, when tasked with situation awareness, are suitable for complex grids with massive datasets. It is a challenge, however, to efficiently turn these massive datasets into useful big data analytics.
Xing He +4 more
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Risk, uncertainty and nonlinear central limit theorems
Risk SciencesThe econometric theory and methods of financial risk are critical technical issues that consistently concern both the economic and mathematical communities.
Zengjing Chen, Xinwei Feng, Hanchao Wang
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Studies on Cauchy–Stieltjes Kernel Families
MathematicsIn the setting of Cauchy–Stieltjes kernel (CSK) families, this study provides some features of free Poisson, free Gamma, and free Binomial laws, as well as some innovative limit theorems linked to Fermi convolution.
Abdulmajeed Albarrak +2 more
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