Results 31 to 40 of about 7,937,632 (296)
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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Stable limits for empirical processes on vapnik-cervonenk is classes of functions [PDF]
, 1991 Alexander' s (1987) central limit theorem for empirical processes on Vapnik-Cervonenkis classes of functions is extended to the case with non-Gaussian stable limits.
Romo, Juan
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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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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +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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Tauberian theorems for limitation methods admitting a central limit theorem
Mathematische Zeitschrift, 1976 If t is restricted to the integers, the method is a special case of the Sonnenschein methods (Zeller and Beekman [-16], p. 185) and as such admits a probabilistic interpretation. As general references to probability theory we mention Chung [-2], Parzen [-11], Feller [-5], Breiman [,1]. Let X 1, X 2 . . . .
Schmaal, A., Stam, A.J., Vries, T. de
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Advanced Functional Materials, EarlyView.Here, we develop a high‐throughput algorithm that accelerates the elucidation of phase diagrams of topological spin textures using limited computational resources at high numerical accuracy. Applying this framework to the van der Waals magnet CrSBr, we unveiled a hierarchy of previously unknown topological textures (domain‐wall bimerons, bimeron chains,
Andrew Lyall +4 more
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, 2016 The central limit theorem is a fundamental theorem of statistics. It prescribes that the sum of a sufficiently large number of independent and identically distributed random variables approximately follows a normal distribution.
Arthur Charpentier
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