Results 31 to 40 of about 384,787 (322)
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 ...
Zang Qing-pei
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Generalized Central Limit Theorem and Renormalization Group
, 2010 We introduce a simple instance of the renormalization group transformation in the Banach space of probability densities. By changing the scaling of the renormalized variables we obtain, as fixed points of the transformation, the L\'evy strictly stable ...
A. Einstein +24 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 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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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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Experimental Analysis and Physics‐Based Analytical Model on Twisted and Coiled Artificial Muscles
Advanced Engineering Materials, EarlyView.Twisted and coiled artificial muscles made from silver‐coated nylon fibers are investigated through experiments and analytical modeling. The actuators achieve contractions up to 19.3% and specific work of 8 kJ kg−1, though efficiency remains limited (≈0.15%) by thermal losses.
Salvatore Garofalo +3 more
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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
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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
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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 +2 more
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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
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