On the influence of moments on the rate of convergence to the normal distribution
From MaRDI portal
Publication:5528233
DOI10.1007/BF00533941zbMath0149.14001OpenAlexW4248638760MaRDI QIDQ5528233
Publication date: 1967
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00533941
Related Items (24)
Some properties of metrics in a study on convergence to normality ⋮ On the implication of a certain rate of convergence to normality ⋮ Effects of design and error on normal convergence rates in regression problems ⋮ Average error in the central limit theorem for the cumulative processes ⋮ Convergence rate in precise asymptotics for Davis law of large numbers ⋮ Limit behavior of sums of a random number of independent random variables ⋮ Accuracy of approximation of sums of independent random variables by a stable distribution ⋮ On the influence of moments on approximations by portion of a Chebyshev series in central limit convergence ⋮ Improved classical limit analogues for Galton-Watson processes with or without immigration ⋮ On the convergence of convolutions of distributions with regularly varying tails ⋮ Convergence of series with asymptotic expansions of densities ⋮ Conditioned rates of convergence in the CLT for sums and maximum sums ⋮ Classical and almost sure local limit theorems ⋮ On the uniform metric in the context of convergence to normality ⋮ Asymptotic expansion in the case of a stable limit law. I ⋮ On the rate of convergence in the central limit theorem for distributions with regularly varying tails ⋮ A note on rates of convergence in the multidimensional CLT for maximum partial sums ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3896292 �ber notwendige und hinreichende Bedingungen f�r Konvergenzgeschwindigkeitsaussagen im Falle einer stabilen Grenzverteilung] ⋮ Two-sided bounds on the rate of convergence to a stable law ⋮ An Estimate for the Sum of the Spitzer Series and Its Generalization ⋮ A note on the convergence rates in precise asymptotics ⋮ Equivalence of rates of convergence in the CLT between maximum partial sums and first passage times of random walks ⋮ Two-sided bounds for nonuniform rates of convergence in the central limit theorem ⋮ Fast rates of convergence in the central limit theorem
Cites Work
This page was built for publication: On the influence of moments on the rate of convergence to the normal distribution