A nonuniform local limit theorem for Poisson binomial random variables via Stein’s method

DOI10.1186/S13660-024-03087-4MaRDI QIDQ6498665

K. Neammanee, Graeme Auld

Publication date: 7 May 2024

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

Mathematics Subject Classification ID

Stochastic processes (60Gxx) Limit theorems in probability theory (60Fxx) Statistical distribution theory (62Exx)

Cites Work

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• Discretized normal approximation by Stein's method
• Feature allocations, probability functions, and paintboxes
• The reliability of k out of n systems
• Stein's method and the zero bias transformation with application to simple random sampling
• Error bounds in local limit theorems using Stein's method
• A non-uniform bound for translated {P}oisson approximation
• An improvement of convergence rate in the local limit theorem for integral-valued random variables
• Learning Poisson binomial distributions
• On a bound of the absolute constant in the Berry-Esseen inequality for i.i.d. Bernoulli random variables
• The Poisson binomial distribution -- old \& new
• Normal Approximation by Stein’s Method

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