Approximating the number of successes in independent trials: binomial versus Poisson

DOI10.1214/aoap/1037125856zbMath1019.60018OpenAlexW2007533680MaRDI QIDQ1872368

Aihua Xia, Kwok Pui Choi

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/1037125856

zbMATH Keywords

total variation approximation

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05)

Related Items

A Pólya Approximation to the Poisson-Binomial Law ⋮ The Poisson binomial distribution -- old \& new ⋮ Relative log-concavity and a pair of triangle inequalities ⋮ Signed binomial approximation of binomial mixtures via differential calculus for linear opera\-tors ⋮ Modeling radiotherapy induced normal tissue complications: an overview beyond phenomenological models ⋮ A simple and fast method for computing the Poisson binomial distribution function ⋮ Compound binomial approximations ⋮ A Three-Parameter Binomial Approximation ⋮ Bernstein-type exponential inequalities in survey sampling: conditional Poisson sampling schemes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Binomial approximation to the Poisson binomial distribution
• A semigroup approach to Poisson approximation
• Compound Poisson approximation for nonnegative random variables via Stein's method
• Poisson approximation for dependent trials
• Stein's method and birth-death processes
• Binomial Approximation to the Poisson Binomial Distribution: The Krawtchouk Expansion
• On the Distribution of the Number of Successes in Independent Trials
• On the rate of Poisson convergence
• On the Number of Successes in Independent Trials