Metric entropy and the central limit theorem in $C\left(S\right)$
Annales de l'Institut Fourier, Volume 24 (1974) no. 2, p. 49-60

Central limit theorems with hypotheses in terms of $\epsilon$-entropy are proved first in $C\left(S\right)$ where $S$ is a compact metric space and then in an arbitrary separable Banach space.

On démontre un théorème limite central, en utilisant l’$\epsilon$-entropie, d’abord dans $C\left(S\right)$$S$ est un compact métrisable, puis dans un espace de Banach séparable quelconque.

@article{AIF_1974__24_2_49_0,
author = {Dudley, R. M.},
title = {Metric entropy and the central limit theorem in $C(S)$},
journal = {Annales de l'Institut Fourier},
publisher = {Imprimerie Durand},
volume = {24},
number = {2},
year = {1974},
pages = {49-60},
doi = {10.5802/aif.505},
zbl = {0275.60033},
mrnumber = {54 \#3807},
language = {en},
url = {http://www.numdam.org/item/AIF_1974__24_2_49_0}
}

Dudley, R. M. Metric entropy and the central limit theorem in $C(S)$. Annales de l'Institut Fourier, Volume 24 (1974) no. 2, pp. 49-60. doi : 10.5802/aif.505. http://www.numdam.org/item/AIF_1974__24_2_49_0/

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