Bounds for the approximation of Poisson-binomial distribution by Poisson distribution

DOI10.1186/1029-242X-2013-30zbMath1282.60030OpenAlexW2162943666WikidataQ59294392 ScholiaQ59294392MaRDI QIDQ389139

Vu Thi Thao, Tran Loc Hung

Publication date: 17 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-30

zbMATH Keywords

convergence in distributionPoisson distributionlinear operatorconvergence in probabilityrandom sumLe Cam's inequalityPoisson-binomial random variable

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Approximation by positive operators (41A36)

Related Items (2)

On bounds in Poisson approximation for integer-valued independent random variables ⋮ Some results on approximation for distributions of random sums by Poisson distribution

Cites Work

• On the convergence of Poisson binomial to Poisson distributions
• A nonuniform bound for the approximation of Poisson binomial by Poisson distribution
• An approximation theorem for the Poisson binomial distribution
• Le Cam's Inequality and Poisson Approximations
• An elementary proof of the central limit theorem

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