On the uniform metric in the context of convergence to normality

DOI10.1007/BF00533096zbMath0256.60010OpenAlexW4244189611MaRDI QIDQ5671423

Christopher C. Heyde

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1007/bf00533096

Mathematics Subject Classification ID

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

Related Items (3)

Effects of design and error on normal convergence rates in regression problems ⋮ A refinement of the Osipov-Petrov bound for central limit convergence ⋮ Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables

Cites Work

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• CONVERGENCE RATES FOR THE CENTRAL LIMIT THEOREM
• On the influence of moments on the rate of convergence to the normal distribution
• On the Accuracy of Gaussian Approximation to the Distribution Functions of Sums of Independent Variables
• On the Berry-Esseen theorem
• Some properties of metrics in a study on convergence to normality
• On an Estimate of the Remainder Term in the Central Limit Theorem
• On the implication of a certain rate of convergence to normality

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