Results 11 to 20 of about 249,434 (217)
The Stein-Chen Method, Point Processes and Compensators
The Annals of Probability, 1992 There are two methods used for obtaining bounds on the total variation accuracy of approximation of the distribution of a sum \(N_ n\) of dependent indicators \(I_ 1,\dots,I_ n\) by a Poisson distribution. The first one [see \textit{D. Freedman}, Ann. Probab.
Barbour, A. D., Brown, Timothy C.
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Poisson Approximation for Call Function via Stein–Chen Method
Bulletin of the Malaysian Mathematical Sciences Society, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kritsana Neammanee, Nat Yonghint
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Extremes of some Gaussian random interfaces [PDF]
, 2015 In this article we give a general criterion for some dependent Gaussian models to belong to maximal domain of attraction of Gumbel, following an application of the Stein-Chen method studied in Arratia et al(1989).
Chiarini, Alberto +2 more
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On the constant in the nonuniform version of the Berry-Esseen theorem
International Journal of Mathematics and Mathematical Sciences, 2005 In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen theorem for independent random variables via Stein-Chen-Shao method.
K. Neammanee
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An Alternative Proof for the Expected Number of Distinct Consecutive Patterns in a Random Permutation [PDF]
Discrete Mathematics & Theoretical Computer ScienceLet $\pi_n$ be a uniformly chosen random permutation on $[n]$. Using an analysis of the probability that two overlapping consecutive $k$-permutations are order isomorphic, the authors of a recent paper showed that the expected number of distinct ...
Anant Godbole, Hannah Swickheimer
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On using the first difference in the Stein-Chen method [PDF]
The Annals of Applied Probability, 1997 If \(X\) and \(Y\) are random variables and \(g\) a bounded Lipschitz function, then there are two natural bounds for \({\mathbf E}| g(X)- g(Y)|\), given by \(K(g)d_{\text{W}}(X,Y)\) and \(\| g\| d_{\text{TV ...
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Extremes of the supercritical Gaussian Free Field [PDF]
, 2015 We show that the rescaled maximum of the discrete Gaussian Free Field (DGFF) in dimension larger or equal to 3 is in the maximal domain of attraction of the Gumbel distribution.
Chiarini, Alberto +2 more
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Symmetric motifs in random geometric graphs [PDF]
, 2017 We study symmetric motifs in random geometric graphs. Symmetric motifs are subsets of nodes which have the same adjacencies. These subgraphs are particularly prevalent in random geometric graphs and appear in the Laplacian and adjacency spectrum as sharp,
Dettmann, Carl P., Knight, Georgie
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Poisson approximation of Rademacher functionals by the Chen-Stein method and Malliavin calculus [PDF]
, 2017 New bounds on the total variation distance between the law of integer valued functionals of possibly non-symmetric and non-homogeneous infinite Rademacher sequences and the Poisson distribution are established. They are based on a combination of the Chen-
Krokowski, Kai
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A Note on the Distribution of the Extreme Degrees of a Random Graph Via the Stein-Chen Method
Methodology and Computing in Applied Probability, 2023 AbstractWe offer an alternative proof, using the Stein-Chen method, of Bollobás’ theorem concerning the distribution of the extreme degrees of a random graph. Our proof also provides a rate of convergence of the extreme degree to its asymptotic distribution.
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