On the implication of a certain rate of convergence to normality

DOI10.1007/BF00535695zbMath0193.46601OpenAlexW4251477920MaRDI QIDQ5588964

Christopher C. Heyde

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1007/bf00535695

zbMATH Keywords

probability theory

Mathematics Subject Classification ID

Distribution theory (60E99) Limit theorems in probability theory (60F99)

Related Items (2)

On the uniform metric in the context of convergence to normality ⋮ Fast rates of convergence in the central limit theorem

Cites Work

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• A converse to the law of the iterated logarithm
• 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 LAW OF THE ITERATED LOGARITHM WITHOUT ASSUMPTIONS ABOUT THE EXISTENCE OF MOMENTS
• Some properties of metrics in a study on convergence to normality
• Convergence Rates for the Law of the Iterated Logarithm
• A Note Concerning Behaviour of Iterated Logarithm Type

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