Results 1 to 10 of about 2,502 (107)
Limit theorems in free probability theory II [PDF]
Open Mathematics, 2008 Abstract Based on an analytical approach to the definition of multiplicative free convolution on probability measures on the nonnegative line ℝ+ and on the unit circle $$ \mathbb{T} $$ we prove analogs of limit theorems for nonidentically distributed random variables in classical Probability Theory.
Chistyakov Gennadii, Götze Friedrich
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Entropy, Periodicity and the Probability of Primality [PDF]
EntropyThe distribution of prime numbers has long been viewed as a balance between order and randomness. In this work, we investigate the relationship between entropy, periodicity, and primality through the computational framework of the binary derivative.
Grenville J. Croll
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Recent progress on limit theorems for large stochastic particle systems* [PDF]
ESAIM: Proceedings and Surveys, 2023 This article presents a selection of recent results in the mathematical study of physical systems described by a large number of particles, with various types of interactions (mean-field, moderate, nearest-neighbor).
Fathi Max +5 more
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Some recent advances for limit theorems [PDF]
ESAIM: Proceedings and Surveys, 2020 We present some recent developments for limit theorems in probability theory, illustrating the variety of this field of activity. The recent results we discuss range from Stein’s method, as well as for infinitely divisible distributions as applications ...
Arras Benjamin +4 more
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Limit theorems for Floyd's triangle: a new approach to not a new problem
Lietuvos Matematikos Rinkinys, 2021 Floyd's triangle is often presented to computer science students as an exercise or example to illustrate the concepts of text formatting and loop constructs. The paper proposes to look at an object from a different angle and to examine limit theorems for
Igoris Belovas
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
Mathematics, 2023 The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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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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Fractal and Fractional, 2023 From the initial development of probability theory to the present days, the convergence of various discrete processes to simpler continuous distributions remains at the heart of stochastic analysis.
Vassili N. Kolokoltsov
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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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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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