A bound on the Poisson-binomial relative error

DOI10.1016/J.STAMET.2006.11.005zbMath1248.62016OpenAlexW2059530479MaRDI QIDQ713788

Kanint Teerapabolarn

Publication date: 19 October 2012

Published in: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.stamet.2006.11.005

zbMATH Keywords

Poisson approximationStein-Chen methodbinomial distribution functionbound of relative errorPoisson distribution function

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

Optimal mutation rates for the \((1+\lambda)\) EA on OneMax through asymptotically tight drift analysis ⋮ An Improvement of Poisson Approximation for Sums of Dependent Bernoulli Random Variables ⋮ A Poisson-binomial relative error uniform bound

Cites Work

• Poisson approximation for dependent trials
• On the Poisson--binomial relative error
• On Comparison of Binomial and Poisson Distributions
• Some approximate relations between terms of the hypergeometric, binomial and poisson distributions
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