On Stein's factors for Poisson approximation in Wasserstein distance

DOI10.3150/bj/1165269145zbMath1328.62076OpenAlexW2168167223MaRDI QIDQ2642798

Aihua Xia, Andrew David Barbour

Publication date: 5 September 2007

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1165269145

zbMATH Keywords

Stein's methodPoisson approximationWasserstein distanceStein's factors

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (21)

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Cites Work

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• Approximation of sums of conditionally independent variables by the translated Poisson distribution
• Poisson approximation for dependent trials
• Stein's method and birth-death processes
• Centered Poisson approximation via Stein's method
• On the rate of Poisson convergence
• An improved Poisson limit theorem for sums of dissociated random variables

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