On the Normal Approximation to the Binomial Distribution

DOI10.1214/aoms/1177731058zbMath0060.28703OpenAlexW4245600908WikidataQ97567273 ScholiaQ97567273MaRDI QIDQ5836161

William Feller

Publication date: 1945

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177731058

zbMATH Keywords

probability theory

Related Items (26)

Statistical inference for zero-and-one-inflated poisson models ⋮ The Chebyshev--Edgeworth Correction in the Central Limit Theorem for Integer-Valued Independent Summands ⋮ Continualization of Probabilistic Programs With Correction ⋮ Eine Approximation der Binomialverteilung durch die Normalverteilung der Ordnung 1/n ⋮ Error term estimate of order \(n^{-2}\) for the distribution function of Smirnov's two-sample statistic ⋮ Entropy of sums of random digits ⋮ Unnamed Item ⋮ Linkage disequilibrium and the infinitesimal limit ⋮ Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables ⋮ On normal approximations to symmetric hypergeometric laws ⋮ Convergence of optimal expected utility for a sequence of binomial models ⋮ Approximations to the probabilities of binomial and multinomial random variables and chi-square type statistics ⋮ The median of the number of simple paths on three vertices in the random graph ⋮ A finely tuned continuity correction ⋮ Uniform accuracy of the maximum likelihood estimates for probabilistic models of biological sequences ⋮ Special cases of second order Wiener germ approximations ⋮ First‐order integer valued AR processes with zero inflated poisson innovations ⋮ On monotonicity of Ramanujan function for binomial random variables ⋮ Zero-inflated compound Poisson distributions in integer-valued GARCH models ⋮ Special functions and the limit properties of probability distributions. II ⋮ The Poisson-conjugate Lindley mixture distribution ⋮ The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan ⋮ Two normal approximations to the binomial distribution ⋮ Moment-Based Approximations of Probability Mass Functions with Applications Involving Order Statistics ⋮ A normal approximation for beta and gamma tail probabilities ⋮ On approximations to some limiting distributions with applications to the theory of sampling inspections by attributes

This page was built for publication: On the Normal Approximation to the Binomial Distribution