Uniform normal approximation orders for families of dominated measures

DOI10.1016/0021-9045(85)90038-3zbMath0583.60025OpenAlexW2034638636MaRDI QIDQ1069204

Dieter Landers, Lothar Rogge

Publication date: 1985

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90038-3

zbMATH Keywords

convergence ratesconvergence orderconditional central limit theoremBerry-Esseen functiondominated measures

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (5)

The exact approximation order of the random maximum Of cumulative sums Of independent variables ⋮ Convergence rates for stopped random sums ⋮ Asymptotic expansions in the conditional central limit theorem ⋮ Sharp orders of convergence in the random central limit theorem ⋮ Berry-Esséen bounds for (absolute) moments of dominated measures

Cites Work

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• Inequalities for conditioned normal approximations
• Exact approximation orders in the conditional central limit theorem
• Best approximants in L 1 space

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