Law of large numbers and the central limit theorem for sequences of coefficients of rotational expansions

DOI10.1007/BF02355811zbMath0909.60034MaRDI QIDQ1375184

Nikita Sidorov

Publication date: 25 May 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68593

zbMATH Keywords

strong law of large numberslaw of large numberscentral limit theoremrate of growth

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Metric theory of continued fractions (11K50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Singularity and absolute continuity of measures associated with the rotation of a circle

Cites Work

• Representations of real numbers by infinite series
• Convergence Properties of $S_n$ Under Moment Restrictions
• Moment Inequalities for the Maximum Cumulative Sum
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