Exact approximation orders in the conditional central limit theorem

DOI10.1007/BF00531530zbMath0525.60029MaRDI QIDQ3038290

Lothar Rogge, Dieter Landers

Publication date: 1984

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

conditional central limit theoremconvergence ordersexact approximation orders

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (5)

The exact approximation order of the random maximum Of cumulative sums Of independent variables ⋮ 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 ⋮ Uniform normal approximation orders for families of dominated measures

Cites Work

• Nonuniform central limit bounds with applications to probabilities of deviations
• Inequalities for conditioned normal approximations
• On mixing sequences of sets
• Best approximants in L ? -spaces

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