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Central Limit Theorems for Supercritical Superprocesses

, 2014
In this paper, we establish a central limit theorem for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition.
Ren, Yan-Xia, Song, Renming, Zhang, Rui
core   +1 more source

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
doaj   +2 more sources

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 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

Martingale Central Limit Theorems

The Annals of Mathematical Statistics, 1971
The classical Lindeberg-Feller CLT for sums of independent random variables (rv's) provides more than the convergence in distribution of the sum to a normal law. The independence of summands also guarantees the weak convergence of all finite dimensional distributions of an a.e.
openaire   +3 more sources

Simulation‐Based Assessment of Second‐Order Residual Stress Fields on the Fatigue Performance of Silicon‐Strengthened Ferritic Ductile Irons

Advanced Engineering Materials, EarlyView.
This work presents a simulation‐based framework based on representative volume elements (RVEs) that explicitly incorporates process‐induced second‐order residual stresses into the fatigue strength assessment of ductile cast iron (DCI). For the first time, this approach enables a direct evaluation of the influence of second‐order residual stress fields ...
Lutz Horbach, Xuemei Lyu, Jiali Zhang, Felix Weber, Christoph Broeckmann   +4 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

Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films

Advanced Functional Materials, EarlyView.
The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram, Sophie Meißner, Stephan Kümmel   +2 more
wiley   +1 more source

Mechanical Properties of Architected Polymer Lattice Materials: A Comparative Study of Additive Manufacturing and CAD Using FEM and µ‐CT

Advanced Functional Materials, EarlyView.
This study examines how pore shape and manufacturing‐induced deviations affect the mechanical properties of 3D‐printed lattice materials with constant porosity. Combining µ‐CT analysis, FEM, and compression testing, the authors show that structural imperfections reduce stiffness and strength, while bulk material inhomogeneities probably enhance ...
Oliver Walker, Thierry Roland, Damien Favier, Antoine Egele, Michael Heymann, Cosima Stubenrauch   +5 more
wiley   +1 more source

Asymptotic normality of the residual correlogram in the continuous-time nonlinear regression model

Modern Stochastics: Theory and Applications, 2020
In a continuous time nonlinear regression model the residual correlogram is considered as an estimator of the stationary Gaussian random noise covariance function.
Alexander Ivanov, Kateryna Moskvychova
doaj   +1 more source