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Analytic and Asymptotic Properties of the Generalized Student and Generalized Lomax Distributions
Mathematics, 2023 Analytic and asymptotic properties of the generalized Student and generalized Lomax distributions are discussed, with the main focus on the representation of these distributions as scale mixtures of the laws that appear as limit distributions in ...
Victor Korolev
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ON SOME ASPECTS OF DEVELOPMENT OF THE GENERALISED ALLOCATION SCHEME
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2019 In this paper we make an attempt to portray the current situation in the probabilistic combinatorics field where so-called generalised allocation scheme has been utilised. We offer a series of limit theorems for sums of independent identicallydistributed
Andrei Kolchin, Boris Bezrodnyi
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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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Asymptotically Normal Estimators for the Parameters of the Gamma-Exponential Distribution
Mathematics, 2021 Currently, much research attention has focused on generalizations of known mathematical objects in order to obtain adequate models describing real phenomena.
Alexey Kudryavtsev, Oleg Shestakov
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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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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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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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