ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

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

Bibliography

  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.
Pages:
153-159
Main language of publication
English
Received
1994-07-18
Accepted
1996-01-20
Published
1996
Exact and natural sciences