New bounds on Poisson approximation to the distribution of a sum of negative binomial random variables [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean, where ri and pi = 1-qi are parameters of ...
Kanint Teerapabolarn
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Integral inequalities with an extended Poisson kernel and the existence of the extremals
Advanced Nonlinear Studies, 2023 In this article, we first apply the method of combining the interpolation theorem and weak-type estimate developed in Chen et al. to derive the Hardy-Littlewood-Sobolev inequality with an extended Poisson kernel.
Tao Chunxia, Wang Yike
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Axioms, 2023 We are interested in an n by p matrix Xn where the n rows are strictly stationary α-mixing random vectors and each of the p columns is an independent and identically distributed random vector; p=pn goes to infinity as n→∞, satisfiying 00.
Haozhu Zhao, Yong Zhang
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A non-uniform bound on Poisson approximation for a sum of negative binomial random variables [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 This paper uses the Stein–Chen method to determine a non-uniform bound on the point metric between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean 1 n i i i r q , where r i
Kanint Teerapabolarn
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Neck pain among smartphone users: an imminent public health issue during the pandemic time
Journal of Ideas in Health, 2020 COVID-19 Pandemic resulted in social mobility and travel restrictions to contain the infection. It has been reported that there happened post-pandemic surge in the use of the internet and social media as people rely on it more often for entertainment ...
Binoy Mathew K V +1 more
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Poisson approximation of the length spectrum of random surfaces [PDF]
, 2017 Multivariate Poisson approximation of the length spectrum of random surfaces is studied by means of the Chen-Stein method. This approach delivers simple and explicit error bounds in Poisson limit theorems.
Petri, Bram, Thaele, Christoph
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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.
openaire +2 more sources
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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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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