Results 21 to 30 of about 22,154 (256)
A central limit theorem for random dynamical systems
上海师范大学学报. 自然科学版, 2019 In this article, we establish a central limit theorem (CLT) for random dynamical systems (RDS), which is a supplement to the ergodic theory of random dynamical system.
LYU Kening, ZHENG Yan
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Central and Local Limit Theorems for Numbers of the Tribonacci Triangle
Mathematics, 2021 In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of ...
Igoris Belovas
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Moderate deviations and central limit theorem for positive diffusions
Journal of Inequalities and Applications, 2016 In this paper, we establish a central limit theorem and a moderate deviation principle for the positive diffusions, including the CEV and CIR models. The proof is based on the exponential approximations theorem and Burkholder-Davis-Gundy’s inequality.
Yumeng Li, Shuguang Zhang
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A Combinatorial Central Limit Theorem [PDF]
The Annals of Mathematical Statistics, 1951 Let (Y n1,…,Y nn be a random vector which takes on the n! permutations of (1,…, n) with equal probabilities. Let c n(i,j), i,j = 1, …, n, be n real numbers. Sufficient conditions for the asymptotic normality of $$ S_n = \sum\limits_{i - 1}^n {c_n \left( {i,Y_{ni} } \right)} $$ are given (Theorem 3). For the special case c n(i,j) = a n(i)b n(j) a
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Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence
Journal of Inequalities and Applications, 2010 Let be a standardized non-stationary Gaussian sequence, and let denote , . Under some additional condition, let the constants satisfy as for some and , for some , then, we have almost surely for any , where is the indicator function ...
Qing-pei Zang
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Tauberian Theorems and the Central Limit Theorem
The Annals of Probability, 1981 We prove Tauberian theorems for random walks with positive drift obeying the central limit theorem. The results include (i) conclusions involving certain averages, relevant to number-theoretic densities and extending results of Diaconis and Stein; (ii) pointwise conclusions, including the classical Borel-Tauber theorem and extending results of Schmaal,
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
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Derivation of the Schrödinger equation III: the Central Limit Theorem [PDF]
Revista Brasileira de Ensino de FísicaIn this paper, we show that the Central Limit Theorem is deeply ingrained in the mathematical and physical structure of Quantum Mechanics. We show, furthermore, that the Central Limit Theorem provides us with a clarification of the assumptions made by ...
Olavo L. da Silva Filho +1 more
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Advanced Engineering Materials, EarlyView.A flexure‐based variable stiffness structure is developed by integrating phase‐change modulation and adhesive interfacial locking of gallium. The design enables a wide stiffness variability, transitioning from soft, flexible behavior to rigid, load‐supporting performance.
Sungjin Kim +2 more
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