Results 11 to 20 of about 7,479,809 (288)
A Note on Cumulant Technique in Random Matrix Theory
Entropy, 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
Central limit theorem for alternating renewal processes
Lietuvos 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
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
doaj +1 more source
A limit theorem on the core [PDF]
, 1976 Trockel W. A limit theorem on the core. Journal of Mathematical Economics.
Walter Trockel +1 more
core +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
doaj +1 more source
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
doaj +1 more source
Approximate Central Limit Theorems [PDF]
Journal of Theoretical Probability, 2017 15 ...
Berckmoes, B., Molenberghs, Geert
openaire +3 more sources
A Central Limit Theorem for inner functions
Advances in Mathematics, 2022 26 ...
Nicolau Nos, Artur, Soler i Gibert, Odí
openaire +5 more sources
Central limit theorems for sub-linear expectation under the Lindeberg condition
Journal of Inequalities and Applications, 2018 In this paper, we investigate the central limit theorems for sub-linear expectation for a sequence of independent random variables without assumption of identical distribution. We first give a bound on the distance between the normalized sum distribution
Cheng Hu
doaj +1 more source
The central limit theorem for the Smoluchovski coagulation model [PDF]
, 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