Results 1 to 10 of about 7,331,913 (294)
Local limit theorem in negative curvature [PDF]
Duke Mathematical Journal, 2021 77 pages, 4 figures. The new version has the same structure as the previous ones. Some arguments have been clarified and/or simplified. Typos and some imprecisions have been corrected.
Seonhee Lim, François Ledrappier
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Local Limit Theorem for the Multiple Power Series Distributions
Mathematics, 2020 We study the behavior of multiple power series distributions at the boundary points of their existence. In previous papers, the necessary and sufficient conditions for the integral limit theorem were obtained.
Arsen L. Yakymiv
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A Local Limit Theorem for Associated Sequences
Annals of Probability, 1985 A local central limit theorem of the type due to \textit{L. A. Shepp} [Ann. Math. Stat. 35, 419-423 (1964; Zbl 0146.391)] is proved for certain stationary sequences of associated random variables.
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A Nonconventional Local Limit Theorem [PDF]
Journal of Theoretical Probability, 2015 23 ...
Hafouta, Yeor, Kifer, Yuri
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Asymtotical expansions in local limit theorem of large deviations
Lietuvos Matematikos Rinkinys, 2002 We continue investigation of the local distribution of multiplicative arithmetic functions from the class M(G). In the present paper the local limit theorem of large deviations with asymptotical expansion of the principal term is obtained.
Rimantas Skrabutėnas
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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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The local limit theorem of Delange in the Knopfmacher's semigroup
Lietuvos Matematikos Rinkinys, 2004 An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
Rimantas Skrabutėnas
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The local limit theorem of large deviations for multiplicative functions
Lietuvos Matematikos Rinkinys, 2001 In the present paper we continue investigation of the local distribution of multiplicative arithmetic functions from the class M(G). A local theorem of large deviations is obtained.
Rimantas Skrabutėnas
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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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The asymptotic of the density of the k-th maxima of independent random variables
Lietuvos Matematikos Rinkinys, 2023 In this paper the local limit theorem for density of k-th maxima of independent identically distributed random variables is proved.
Arvydas Jokimaitis
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