Fast rates of convergence in the central limit theorem
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Publication:4746573
DOI10.1007/BF00534201zbMath0508.60024MaRDI QIDQ4746573
Publication date: 1983
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Related Items (2)
The accuracy of merging approximation in generalized St. Petersburg games ⋮ Two-sided bounds for nonuniform rates of convergence in the central limit theorem
Cites Work
- Characterizing the rate of convergence in the central limit theorem
- Generalisation and application of some results of Ibragimov on convergence to normality
- Some \(L_p\) versions for the central limit theorem
- 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
- Characterizing the rate of convergence in the central limit theorem. II
- On the Accuracy of Approximation in 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
- Some properties of metrics in a study on convergence to normality
- On the implication of a certain rate of convergence to normality
- On the influence of moments on approximations by portion of a Chebyshev series in central limit convergence
- On the convergence of convolutions of distributions with regularly varying tails
- On Asymptotic Expansions for Distribution Functions of Sums of Independent Random Variables
- Regularly varying functions
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