Berry-Esseen bounds for typical weighted sums
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Publication:1990225
DOI10.1214/18-EJP195zbMath1414.60012arXiv1709.06848OpenAlexW2964345648MaRDI QIDQ1990225
Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze
Publication date: 25 October 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.06848
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
Related Items (8)
Non-asymptotic properties of spectral decomposition of large Gram-type matrices and applications ⋮ Inference via randomized test statistics ⋮ Anticoncentration and Berry-Esseen bounds for random tensors ⋮ A multivariate CLT for weighted sums with rate of convergence of order \(O(1/n)\) ⋮ Higher order concentration on Stiefel and Grassmann manifolds ⋮ Edgeworth Corrections in Randomized Central Limit Theorems ⋮ Poincaré inequalities and normal approximation for weighted sums ⋮ Normal approximation for weighted sums under a second-order correlation condition
Cites Work
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- A central limit theorem for trigonometric series with bounded gaps
- A Berry-Esseen type inequality for convex bodies with an unconditional basis
- On the central limit theorem for \(f(n_{k}x)\)
- Concentration inequalities and limit theorems for randomized sums
- On concentration of distributions of random weighted sums
- On a theorem of V. N. Sudakov on typical distributions
- The central limit problem for random vectors with symmetries
- On the distribution of values of sums of the type \(\sum f(2^kt)\)
- Proximity of probability distributions in terms of Fourier-Stieltjes transforms
- The Central Limit Theorem for Subsequences in Probabilistic Number Theory
- On the Central Limit Theorem along Subsequences of Noncorrelated Observations
- Variations on the Berry--Esseen Theorem
- On Lacunary Trigonometric Series
- On Lacunary Trigonometric Series, II
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