Inequalities for conditioned normal approximations

DOI10.1214/aop/1176995769zbMath0368.60027OpenAlexW2093215542MaRDI QIDQ1242591

Dieter Landers, Lothar Rogge

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1214/aop/1176995769

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

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Conditioned rates of convergence in the CLT for sums and maximum sums ⋮ Mixing normal approximations of vectors of sums and maximum sums ⋮ Asymptotic normality for random sums of linear processes ⋮ Exact approximation orders in the conditional central limit theorem ⋮ Uniform normal approximation orders for families of dominated measures