On Limit Theorems for Continued Fractions

Zbigniew S. Szewczak ()
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Zbigniew S. Szewczak: Nicolaus Copernicus University

Journal of Theoretical Probability, 2009, vol. 22, issue 1, 239-255

Abstract: Abstract It is shown that for sums of functionals of digits in continued fraction expansions the Kolmogorov-Feller weak laws of large numbers and the Khinchine-Lévy-Feller-Raikov characterization of the domain of attraction of the normal law hold.

Keywords: Weak law of large numbers; Domain of attraction of the normal law; ψ-mixing; Continued fractions; 60F05; 60F10; 11K50 (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10959-007-0139-1

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