Results 21 to 30 of about 543,386 (314)
Annealed and quenched limit theorems for random expanding dynamical systems [PDF]
, 2014 In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic arguments with martingales, we prove annealed versions of a central limit ...
Aimino, Romain +2 more
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A Central Limit Theorem for Spatial Observations
Austrian Journal of Statistics, 2016 The Central Limit Theorem is proved for m-dependent random fields. The random field is observed in a sequence of irregular domains. The sequence of domains is increasing and at the same time the locations of the observations become more and more dense in
István Fazekas +2 more
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BY MEANS OF LINDEBERG’S CENTRAL LIMIT THEOREM
Jurnal Matematika, 2012 We study the construction of a version of standard Brownian sheet called h -generalized standard Brownian sheet. It is shown by means of Lindeberg’s theorem that it is a limit process of a sequence of partial sums processes of independent random ...
WAYAN SOMAYASA
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Dependent Lindeberg central limit theorem and some applications [PDF]
, 2007 In this paper, a very useful lemma (in two versions) is proved: it simplifies notably the essential step to establish a Lindeberg central limit theorem for dependent processes. Then, applying this lemma to weakly dependent processes introduced in Doukhan
Bardet, Jean-Marc +3 more
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A quantitative functional central limit theorem for shallow neural networks
Modern Stochastics: Theory and Applications, 2023 We prove a quantitative functional central limit theorem for one-hidden-layer neural networks with generic activation function. Our rates of convergence depend heavily on the smoothness of the activation function, and they range from logarithmic for ...
Valentina Cammarota +3 more
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Central limit theorems and suppression of anomalous diffusion for systems with symmetry [PDF]
, 2015 We give general conditions for the central limit theorem and weak convergence to Brownian motion (the weak invariance principle / functional central limit theorem) to hold for observables of compact group extensions of nonuniformly expanding maps.
Gottwald, Georg A., Melbourne, Ian
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Privacy Loss Classes: The Central Limit Theorem in Differential Privacy
IACR Cryptology ePrint Archive, 2019 Quantifying the privacy loss of a privacy-preserving mechanism on potentially sensitive data is a complex and well-researched topic; the de-facto standard for privacy measures are ε-differential privacy (DP) and its versatile relaxation (ε, δ ...
David M. Sommer +2 more
semanticscholar +1 more source
Stochastic Gradient Descent in Continuous Time: A Central Limit Theorem [PDF]
Stochastic Systems, 2017 Stochastic gradient descent in continuous time (SGDCT) provides a computationally efficient method for the statistical learning of continuous-time models, which are widely used in science, engineering, and finance.
Justin A. Sirignano, K. Spiliopoulos
semanticscholar +1 more source
Error estimate in the central limit theorem
Lietuvos Matematikos Rinkinys, 2008 In this paper, we determined, independent identically distributed random variable’s {Xk, k = 1,2,...} centered and normalized sum’s Sn = \sumn k=1 Xk distribution’s Fn(x) = P(Zn < x) exact error estimate in case of the normal approximation with one ...
Aurelija Kasparavičiūtė +1 more
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Central and local limit theorems for the weighted Delannoy numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal ...
Belovas Igoris
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