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

C. Faivre

Colloquium Mathematicae (1996)

  • Volume: 71, Issue: 1, page 153-159
  • ISSN: 0010-1354

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Faivre, C.. "On the central limit theorem for random variables related to the continued fraction expansion." Colloquium Mathematicae 71.1 (1996): 153-159. <http://eudml.org/doc/210421>.

@article{Faivre1996,
author = {Faivre, C.},
journal = {Colloquium Mathematicae},
keywords = {continued fractions; sequences of random variables; ergodic system; central limit theorem},
language = {eng},
number = {1},
pages = {153-159},
title = {On the central limit theorem for random variables related to the continued fraction expansion},
url = {http://eudml.org/doc/210421},
volume = {71},
year = {1996},
}

TY - JOUR
AU - Faivre, C.
TI - On the central limit theorem for random variables related to the continued fraction expansion
JO - Colloquium Mathematicae
PY - 1996
VL - 71
IS - 1
SP - 153
EP - 159
LA - eng
KW - continued fractions; sequences of random variables; ergodic system; central limit theorem
UR - http://eudml.org/doc/210421
ER -

References

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  1. [1] W. Bosma, H. Jager and F. Wiedijk, Some metrical observations on the approximation by continued fractions, Indag. Math. 45 (1983), 281-299. Zbl0519.10043
  2. [2] P. Billingsley, Ergodic Theory and Information, Wiley, New York, 1965. Zbl0141.16702
  3. [3] A. Ibragimov, Some limit theorems for stationary processes, Theor. Probab. Appl. 7 (1962), 349-382. Zbl0119.14204
  4. [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. [5] H. Nakada, Metrical theory for a class of continued fraction transformations and their natural extensions, Tokyo J. Math. 4 (1981), 399-426. Zbl0479.10029
  6. [6] W. Philipp, Some metrical theorems in number theory II, Duke Math. J. 37 (1970), 447-458. 

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