On the asymptotic equivalence ofL pmetrics for convergence to normality

DOI10.1007/BF00535176zbMath0535.60029OpenAlexW2886364665MaRDI QIDQ3319493

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Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00535176

zbMATH Keywords

rate of convergencedeparture from normality

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) (L^p)-limit theorems (60F25)

Related Items (3)

Convergence determining sets in the central limit theorem ⋮ On a lower bound of \(L_p\) norms in the central limit theorem for \(\varphi\)-mixing random variables ⋮ A lower bound of \(L_p\) norms in the CLT for strongly mixing random variables

Cites Work

• A nonuniform bound on convergence to normality
• On L\(_p\) Chebyshev-Cramer asymptotic expansions
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• On the Precision of an Estimate of the Remainder Term in the Central Limit Theorem
• On the Accuracy of Gaussian Approximation to the Distribution Functions of Sums of Independent Variables
• On Asymptotic Expansions for Distribution Functions of Sums of Independent Random Variables
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