Results 41 to 50 of about 30,884 (295)

The central limit theorem for empirical processess on V-C classes: a majorizing measure approach [PDF]

, 1993
Alexander (1987) gave necessary and sufficient conditions for the central limit theorem for empirical processes on Vapnik-Cervonenkis classes of functions.
Romo, Juan
core  

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,
openaire   +3 more sources

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
openaire   +3 more sources

Multimodal Data‐Driven Microstructure Characterization

Advanced Engineering Materials, EarlyView.
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang, Santiago Benito, Özge Özgün, Sebastian Weber, Markus Stricker   +4 more
wiley   +1 more source

Derivation of the Schrödinger equation III: the Central Limit Theorem [PDF]

Revista Brasileira de Ensino de Física
In 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, Marcello Ferreira   +1 more
doaj   +1 more source

Twin Crystal Moiré Metasurfaces for Crossing Flat‐Band Transport

Advanced Functional Materials, EarlyView.
This study introduces twin crystal moiré metasurfaces, breaking in‐plane symmetry to enable reconfigurable acoustic wave manipulation. By adjusting the twin angle and interlayer twist angle, various combinations of hyperbolic, flat bands, and elliptic states can be synthesized in the system.
Shida Fan, Chenglin Han, Kuan He, Chadi Ellouzi, Yunlong Wang, Li‐Qun Chen, Jie Sun, Zhaodong Xu, Chen Shen, Tianzhi Yang   +9 more
wiley   +1 more source

The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences

Journal of Applied Mathematics, 2013
In this paper, the almost sure central limit theorem is established for sequences of negatively associated random variables: limn→∞(1/logn)∑k=1n(I(ak ...
Yuanying Jiang, Qunying Wu
doaj   +1 more source

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
openaire   +2 more sources

Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet

Advanced Materials, EarlyView.
Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens, Francisco Romero‐Lara, Trisha Sai, Kalyan Biswas, Manuel Vilas‐Varela, Thomas Frederiksen, Diego Peña, Fabian Schulz, Jose Ignacio Pascual   +8 more
wiley   +1 more source

Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD

Advanced Materials, EarlyView.
Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo, Masoud Mansouri, Carlos Garcia‐Fernandez, Daniel Sánchez‐Portal, Aran Garcia‐Lekue, Gustavo Ceballos, Aitor Mugarza   +6 more
wiley   +1 more source