Estimates of the proximity of a distribution to the normal law
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Publication:920471
DOI10.1007/BF00971947zbMath0708.60023MaRDI QIDQ920471
K. P. Kirsha, Vidmantas Bentkus
Publication date: 1989
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
computation of absolute constantnon-uniform error estimationnormal approximation without summation theoryuniform error estimation
Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
Related Items (5)
On Hoeffding's inequalities. ⋮ On the Error-Bound in the Nonuniform Version of Esseen's Inequality in the L p -Metric ⋮ On domination of tail probabilities of (super)martingales: explicit bounds ⋮ On the asymptotical behavior of the constant in the Berry-Esseen inequality ⋮ On computing the constant in the Berry-Esseen inequality for a class of distributions
Cites Work
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- [https://portal.mardi4nfdi.de/wiki/Publication:3893039 On the constant in the nonuniform version of the Berry-Ess�en theorem]
- Bounds for the Central Limit Theorem Error
- A sharpening of the inequality of Berry-Esseen
- An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality
- The Accuracy of the Gaussian Approximation to the Sum of Independent Variates
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