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

Colloquium Mathematicae (1996)

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

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top## How to cite

topFaivre, 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

top- [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] P. Billingsley, Ergodic Theory and Information, Wiley, New York, 1965. Zbl0141.16702
- [3] A. Ibragimov, Some limit theorems for stationary processes, Theor. Probab. Appl. 7 (1962), 349-382. Zbl0119.14204
- [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. Zbl0479.10029
- [6] W. Philipp, Some metrical theorems in number theory II, Duke Math. J. 37 (1970), 447-458.

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