On the influence of moments on approximations by portion of a Chebyshev series in central limit convergence

DOI10.1007/BF00532256zbMath0215.25502OpenAlexW4234493016MaRDI QIDQ5618128

Julian Leslie, Christopher C. Heyde

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1007/bf00532256

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (6)

Average error in the central limit theorem for the cumulative processes ⋮ Accuracy of approximation of sums of independent random variables by a stable distribution ⋮ Asymptotic expansion in the case of a stable limit law. I ⋮ A note on the convergence rates in precise asymptotics ⋮ Characterizing the rate of convergence in the central limit theorem. II ⋮ Fast rates of convergence in the central limit theorem

Cites Work

• On the influence of moments on the rate of convergence to the normal distribution
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