On the accuracy of nonuniform Gaussian approximation to the distribution functions of sums of independent and identically distributed random variables
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Publication:4082071
DOI10.1007/BF00532959zbMath0319.60012MaRDI QIDQ4082071
No author found.
Publication date: 1976
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
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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