Results 21 to 30 of about 42,960 (260)
INTERMITTENCY AND MULTISCALING IN LIMIT THEOREMS
Fractals, 2022 It has been recently discovered that some random processes may satisfy limit theorems even though they exhibit intermittency, namely an unusual growth of moments. In this paper, we provide a deeper understanding of these intricate limiting phenomena.
DANIJEL GRAHOVAC +2 more
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A Discrete Limit Theorem for a Collection of Epstein Zeta-Functions
Jaunųjų Mokslininkų DarbaiIn this paper, the discrete limit theorem of Bohr-Jessen type with an explicitly given limit measure for a collection of Epstein zeta-functions is given. An extra condition is required to specify the form of the limit measure.
Martynas Šiupienis, Renata Macaitienė
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Central and Local Limit Theorems for Numbers of the Tribonacci Triangle
Mathematics, 2021 In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of ...
Igoris Belovas
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Geometric And Functional Analysis, 2003 The first Szego limit theorem has been extended by Bump-Diaconis and Tracy-Widom to limits of other minors of Toeplitz matrices. We extend their results still further to allow more general measures and more general determinants. We also give a new extension to higher dimensions, which extends a theorem of Helson and Lowdenslager.
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Holderian functional central limit theorem for linear processes
Lietuvos 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
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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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Tạp chí Khoa học, 2023 This paper establishes a mean convergence theorem for triangular arrays of rowwise and pairwise mn-dependent random variables. Some authors studied limit theorems for sequences of pairwise m-dependent random variables where m is fixed (see, e.g ...
Le Van Thanh, Pham Nhu Y
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Central Limit Theorem for Coloured Hard Dimers
Journal of Probability and Statistics, 2010 We study the central limit theorem for a class of coloured graphs. This means that we investigate the limit behavior of certain random variables whose values are combinatorial parameters associated to these graphs.
Maria Simonetta Bernabei, Horst Thaler
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International Journal of Adaptive Control and Signal Processing, EarlyView.This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
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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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