Results 21 to 30 of about 806,015 (270)
A limit theorem for the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 2000 There is not abstract.
Jolita Ignatavičiūtė
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Asymptotical expansions in the local limit theorem
Lietuvos Matematikos Rinkinys, 1997 There is not abstract.
Rimantas Skrabutėnas
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Central limit theorem and Diophantine approximations [PDF]
, 1910 Let $F_n$ denote the distribution function of the normalized sum $Z_n = (X_1 + \dots + X_n)/\sigma\sqrt{n}$ of i.i.d. random variables with finite fourth absolute moment.
Bobkov, Sergey G.
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A Central Limit Theorem for Vincular Permutation Patterns [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 We study the number of occurrences of any fixed vincular permutation pattern. We show that this statistics on uniform random permutations is asymptotically normal and describe the speed of convergence.
Lisa Hofer
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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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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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The Nagaev-Guivarc'h method via the Keller-Liverani theorem [PDF]
, 2010 The Nagaev-Guivarc'h method, via the perturbation operator theorem of Keller and Liverani, has been exploited in recent papers to establish local limit and Berry-Essen type theorems for unbounded functionals of strongly ergodic Markov chains.
Hervé, Loïc, Pène, Françoise
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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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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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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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