On Nonuniform Estimates of Approximation Exactness in the Central Limit Theorem

DOI10.1137/S0040585X97T987077zbMath1322.60013OpenAlexW634671868MaRDI QIDQ5255338

V. V. Senatov

Publication date: 15 June 2015

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t987077

zbMATH Keywords

asymptotic expansionscentral limit theoremnonuniform estimatesapproximation exactness

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (4)

On a bound of the absolute constant in the Berry-Esseen inequality for i.i.d. Bernoulli random variables ⋮ On the proximity of sequences of probability distributions ⋮ On the real accuracy of approximation in the central limit theorem. II ⋮ An optimal Berry-Esseen type theorem for integrals of smooth functions

Cites Work

• On the remainder term for the central limit theorem
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• Some Asymptotic Decompositions in the Central Limit Theorem in the Multidimensional Case
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Nonuniform Estimates of Approximation Exactness in the Central Limit Theorem