An almost sure central limit theorem for independent random variables
Beata Rodzik; Zdzislaw Rychlik
Annales de l'I.H.P. Probabilités et statistiques (1994)
- Volume: 30, Issue: 1, page 1-11
- ISSN: 0246-0203
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topRodzik, Beata, and Rychlik, Zdzislaw. "An almost sure central limit theorem for independent random variables." Annales de l'I.H.P. Probabilités et statistiques 30.1 (1994): 1-11. <http://eudml.org/doc/77474>.
@article{Rodzik1994,
author = {Rodzik, Beata, Rychlik, Zdzislaw},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Wiener measure; almost sure convergence; Skorokhod representation theorem},
language = {eng},
number = {1},
pages = {1-11},
publisher = {Gauthier-Villars},
title = {An almost sure central limit theorem for independent random variables},
url = {http://eudml.org/doc/77474},
volume = {30},
year = {1994},
}
TY - JOUR
AU - Rodzik, Beata
AU - Rychlik, Zdzislaw
TI - An almost sure central limit theorem for independent random variables
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1994
PB - Gauthier-Villars
VL - 30
IS - 1
SP - 1
EP - 11
LA - eng
KW - Wiener measure; almost sure convergence; Skorokhod representation theorem
UR - http://eudml.org/doc/77474
ER -
References
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- P. Schatte, On Strong Versions of the Central Limit Theorem, Math. Nachr., Vol. 137, 1988, pp. 249-256. Zbl0661.60031MR968997
- V. Strassen, Almost Sure Behaviour of Sums of Independent Random Variables and Martingales, Proc. Fifth. Berkeley Symp. Math. Statist. Prob.2, 1967, pp. 315-343, Univ. of California Press. Zbl0201.49903MR214118
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