On improvements of the order of approximation in the Poisson limit theorem
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Publication:4877412
DOI10.2307/3215272zbMath0852.60025OpenAlexW4252730100MaRDI QIDQ4877412
Dietmar Pfeifer, Konstantin A. Borovkov
Publication date: 2 December 1996
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3215272
recordsPoisson approximationBernoulli random variablesrate of approximationconvolutions of Poisson measures
Central limit and other weak theorems (60F05) Groups and semigroups of linear operators (47D03) Spaces of measures, convergence of measures (28A33)
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Total variation asymptotics for sums of independent integer random variables ⋮ A Pólya Approximation to the Poisson-Binomial Law ⋮ Compound Poisson approximation ⋮ Mod-\(\phi\) convergence: approximation of discrete measures and harmonic analysis on the torus ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ Limit Theorems for Record Indicators in Threshold $F^\alpha$-Schemes ⋮ On moderate deviations in Poisson approximation ⋮ On exceedances of high levels ⋮ A polynomial birth-death point process approximation to the Bernoulli process
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