Central limit theorem and Diophantine approximations

DOI10.1007/s10959-017-0770-4zbMath1432.60032arXiv1706.09643OpenAlexW2963381027MaRDI QIDQ1800506

Sergey G. Bobkov

Publication date: 24 October 2018

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09643

zbMATH Keywords

Diophantine approximationcentral limit theoremEdgeworth expansions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measures of irrationality and of transcendence (11J82) Homogeneous approximation to one number (11J04)

Related Items (5)

The Chebyshev--Edgeworth Correction in the Central Limit Theorem for Integer-Valued Independent Summands ⋮ Random walks on the circle and Diophantine approximation ⋮ Edgeworth expansions for volatility models ⋮ Equidistribution of random walks on compact groups. II: The Wasserstein metric ⋮ On the discrepancy of random subsequences of $\{n\alpha\}$ II

Cites Work

• Diophantine approximation
• Diophantine approximations and diophantine equations
• Asymptotic expansions for products of characteristic functions under moment assumptions of non-integer orders
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• The irrationality exponents of computable numbers
• Probabilistic Diophantine Approximation
• Proximity of probability distributions in terms of Fourier-Stieltjes transforms
• Variations on the Berry--Esseen Theorem
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