On the central limit theorem for random variables related to the continued fraction expansion

• Autorzy: C. Faivre
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 71
• Numer: 1
• Strony: 153-159

Daty

wydano

1996

otrzymano

1994-07-18

poprawiono

1996-01-20

Twórcy

autor

C. Faivre

• Centre de Mathématiques et Informatique de l'Université de Provence 39, rue Joliot Curie 13453 Marseille Cedex 13, France

Bibliografia

• [1] W. Bosma, H. Jager and F. Wiedijk, Some metrical observations on the approximation by continued fractions, Indag. Math. 45 (1983), 281-299.
• [2] P. Billingsley, Ergodic Theory and Information, Wiley, New York, 1965.
• [3] A. Ibragimov, Some limit theorems for stationary processes, Theor. Probab. Appl. 7 (1962), 349-382.
• [4] H. Ishitani, A central limit theorem of mixed type for a class of 1- dimensional transformations, Hiroshima Math. J. 16 (1986), 161-188.
• [5] H. Nakada, Metrical theory for a class of continued fraction transformations and their natural extensions, Tokyo J. Math. 4 (1981), 399-426.
• [6] W. Philipp, Some metrical theorems in number theory II, Duke Math. J. 37 (1970), 447-458.