Some properties of metrics in a study on convergence to normality

DOI10.1007/BF00536379zbMath0169.20902OpenAlexW4253305349MaRDI QIDQ5556123

Christopher C. Heyde

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1007/bf00536379

zbMATH Keywords

probability theory

Related Items (15)

On the implication of a certain rate of convergence to normality ⋮ Effects of design and error on normal convergence rates in regression problems ⋮ Improved classical limit analogues for Galton-Watson processes with or without immigration ⋮ On the rate of convergence in the invariance principle for weakly dependent random variables ⋮ A note on the Davis-Gut law ⋮ On the uniform metric in the context of convergence to normality ⋮ A NONCLASSICAL LAW OF THE ITERATED LOGARITHM FOR I.I.D. SQUARE INTEGRABLE RANDOM VARIABLES ⋮ Approximation of partial sums of i.i.d.r.v.s when the summands have only two moments ⋮ A nonclassical law of the iterated logarithm for self-normalized partial sums ⋮ A supplement to precise asymptotics in the law of the iterated logarithm ⋮ On the lower limits of maxima and minima of wiener process and partial sums ⋮ On the Set of Limit Points of Normed Sums of Geometrically Weighted I.I.D. Bounded Random Variables ⋮ Generalized Law of the Iterated Logarithm and Its Convergence Rate ⋮ Fast rates of convergence in the central limit theorem ⋮ Law of the iterated logarithm for \(\phi\)-mixing random variables

Cites Work

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• On the growth of a random walk
• An invariance principle for the law of the iterated logarithm
• 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 strassen's version of the loglog law

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