A bound for the distribution of the sum of discrete associated or negatively associated random variables.

DOI10.1214/aoap/1019487610zbMath1073.60507OpenAlexW1983466306MaRDI QIDQ1872485

Michael V. Boutsikas, Markos V. Koutras

Publication date: 6 May 2003

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1019487610

zbMATH Keywords

rate of convergenceprobability metricscompound Poisson approximationnegative associationpositive-negative dependence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Approximations to statistical distributions (nonasymptotic) (62E17)

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• Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
• Negative association of random variables, with applications
• Solving the Stein Equation in compound poisson approximation
• Some Concepts of Dependence
• Association of Random Variables, with Applications

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