Metric entropy and the central limit theorem in C(S)
Annales de l'Institut Fourier, Volume 24 (1974) no. 2, p. 49-60
Central limit theorems with hypotheses in terms of ε-entropy are proved first in C(S) where S is a compact metric space and then in an arbitrary separable Banach space.
On démontre un théorème limite central, en utilisant l’ε-entropie, d’abord dans C(S)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},
     address = {28 - Luisant},
     volume = {24},
     number = {2},
     year = {1974},
     pages = {49-60},
     doi = {10.5802/aif.505},
     mrnumber = {54 \#3807},
     zbl = {0275.60033},
     language = {en},
     url = {https://aif.centre-mersenne.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. https://aif.centre-mersenne.org/item/AIF_1974__24_2_49_0/

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