The Chebyshev--Edgeworth Correction in the Central Limit Theorem for Integer-Valued Independent Summands
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Publication:5034418
DOI10.1137/S0040585X97T990605zbMath1492.60052OpenAlexW4213457087WikidataQ113778981 ScholiaQ113778981MaRDI QIDQ5034418
Vladimir V. Ulyanov, Sergey G. Bobkov
Publication date: 25 February 2022
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0040585x97t990605
Cites Work
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- Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables
- Central limit theorem and Diophantine approximations
- Asymptotic expansions for products of characteristic functions under moment assumptions of non-integer orders
- Explicit rates of approximation in the CLT for quadratic forms
- Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
- The irrationality exponents of computable numbers
- Some Approximation Problems in Statistics and Probability
- Asymptotic Expansions for Distributions of Sums of Independent Random Variables inH
- Limit Theorems for Densities and Asymptotic Expansions for Distributions of Sums of Independent Random Variables
- The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan
- On the Normal Approximation to the Binomial Distribution