On the accuracy of approximation of the binomial distribution by the Poisson law

DOI10.33048/mattrudy.2021.24.208OpenAlexW4206465569MaRDI QIDQ5879039

Sergeĭ Viktorovich Nagaev

Publication date: 24 February 2023

Published in: Matematicheskie trudy (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mt654

zbMATH Keywords

generation functionBernoulli random variablescomplex analysisPoisson lawarithmetic distribution function

Mathematics Subject Classification ID

Computational methods for problems pertaining to probability theory (60-08) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)

Cites Work

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• A Charlier-Parseval approach to Poisson approximation and its applications
• Approximation of aggregate claims distributions by compound Poisson distributions
• Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
• The total variation distance between the binomial and Poisson distributions
• Poisson approximation
• An approximation theorem for the Poisson binomial distribution
• On the rate of Poisson convergence
• Some Elementary Results on Poisson Approximation in a Sequence of Bernoulli Trials
• On the approximations to some limiting distributions with some applications
• An Introduction to the Theory of Point Processes

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