On the accuracy of nonuniform Gaussian approximation to the distribution functions of sums of independent and identically distributed random variables

DOI10.1007/BF00532959zbMath0319.60012MaRDI QIDQ4082071

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Publication date: 1976

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

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (5)

Necessary and sufficient conditions on rates of convergence in the multidimensional central limit theorem ⋮ A note on rates of convergence in the multidimensional CLT for maximum partial sums ⋮ On the speed of convergence in the random central limit theorem for ?-mixing processes ⋮ 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

Cites Work

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• Generalisation and application of some results of Ibragimov on convergence to normality
• A nonuniform bound on convergence to normality
• Nonuniform central limit bounds with applications to probabilities of deviations
• Results on probabilities of moderate deviations
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• Some Limit Theorems for Large Deviations
• On the Accuracy of Gaussian Approximation to the Distribution Functions of Sums of Independent Variables

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