Results 1 to 10 of about 7,858,530 (320)
Local limit theorems for occupancy models [PDF]
Random Structures & Algorithms, 2019 We present a rather general method for proving local limit theorems, with a good rate of convergence, for sums of dependent random variables. The method is applicable when a Stein coupling can be exhibited.
A. Barbour +2 more
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Central and Local Limit Theorems for Numbers of the Tribonacci Triangle [PDF]
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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Local limit theorems for subgraph counts [PDF]
Journal of the London Mathematical Society, 2020 We introduce a general framework for studying anticoncentration and local limit theorems for random variables, including graph statistics. Our methods involve an interplay between Fourier analysis, decoupling, hypercontractivity of Boolean functions, and
Ashwin Sah, Mehtaab Sawhney
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Local limit theorems in relatively hyperbolic groups I: rough estimates [PDF]
Ergodic Theory and Dynamical Systems, 2020 This is the first of a series of two papers dealing with local limit theorems in relatively hyperbolic groups. In this first paper, we prove rough estimates for the Green function.
Matthieu Dussaule
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Local limit theorems in relatively hyperbolic groups II: the non-spectrally degenerate case [PDF]
Compositio Mathematica, 2020 This is the second of a series of two papers dealing with local limit theorems in relatively hyperbolic groups. In this second paper, we restrict our attention to non-spectrally degenerate random walks and we prove precise asymptotics of the probability $
Matthieu Dussaule
semanticscholar +1 more source
Local limit theorems for multiplicative functions on semigroups
Lietuvos Matematikos Rinkinys, 1998 There is not abstract.
Rimantas Skrabutėnas
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On the local limit theorems for psi-mixing Markov chains [PDF]
, 2020 In this paper we investigate the local limit theorem for additive functionals of a nonstationary Markov chain with finite or infinite second moment.
F. Merlevède, M. Peligrad, C. Peligrad
semanticscholar +1 more source
Approximate counting and sampling via local central limit theorems [PDF]
Symposium on the Theory of Computing, 2021 We give an FPTAS for computing the number of matchings of size k in a graph G of maximum degree Δ on n vertices, for all k ≤ (1−δ)m*(G), where δ>0 is fixed and m*(G) is the matching number of G, and an FPTAS for the number of independent sets of size k ≤
Vishesh Jain +3 more
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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 transfer theorems for density of extreme values
Lietuvos Matematikos Rinkinys, 2005 In this paper the transfer theorems for density of minima and maxima of independent identically distributed random variables is proved.
Arvydas Jokimaitis +1 more
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