Results 21 to 30 of about 30,884 (295)

A Note on Cumulant Technique in Random Matrix Theory

open access: yesEntropy, 2023
We discuss the cumulant approach to spectral properties of large random matrices. In particular, we study in detail the joint cumulants of high traces of large unitary random matrices and prove Gaussian fluctuation for pair-counting statistics with non ...
Alexander Soshnikov, Chutong Wu
doaj   +1 more source

Holderian functional central limit theorem for linear processes

open access: yesLietuvos Matematikos Rinkinys, 2004
Let (Xt)t ≥ 1 be a linear process defined by Xt =  ∑i=0∞ψi εt-1 where (ψi, i ≥ 0) is a sequence of  real numbers and (εi , i ∈ Z) is a sequence of random variables with null expectation and variance 1.
Mindaugas Juodis
doaj   +3 more sources

Central limit theorem for alternating renewal processes

open access: yesLietuvos Matematikos Rinkinys, 2007
Functional central limit theorems for stationary alternating renewal processes with dependent work and repair times, and for associated workload processes are stated. The weak convergence of distributions of properly scaled processesin the Skorokhodspace
Rimas Banys
doaj   +1 more source

A Central Limit Theorem for Spatial Observations

open access: yesAustrian 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
doaj   +1 more source

Central limit theorem

open access: yes
Conceitos básicos de probabilidade e estatística.The simulation consists in generating random variables from a choosen well-behaved distribution and summing them achieving the gaussian distribution, wich is the main result of the central limit theorem ...
Estados Unidos da América. Open Source Physics (OSP)
core   +3 more sources

A Central Limit Theorem for inner functions

open access: yesAdvances in Mathematics, 2022
26 ...
Nicolau Nos, Artur, Soler i Gibert, Odí
openaire   +5 more sources

Error estimate in the central limit theorem

open access: yesLietuvos 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
doaj   +1 more source

A quantitative functional central limit theorem for shallow neural networks

open access: yesModern 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
doaj   +1 more source

Approximate Central Limit Theorems [PDF]

open access: yesJournal of Theoretical Probability, 2017
15 ...
Berckmoes, B., Molenberghs, Geert
openaire   +3 more sources

The central limit theorem for the Smoluchovski coagulation model [PDF]

open access: yes, 2010
The general model of coagulation is considered. For basic classes of unbounded coagulation kernels the central limit theorem (CLT) is obtained for the fluctuations around the dynamic law of large numbers (LLN) described by the Smoluchovski equation.
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

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