Central limit theorems with hypotheses in terms of -entropy are proved first in where is a compact metric space and then in an arbitrary separable Banach space.
On démontre un théorème limite central, en utilisant l’-entropie, d’abord dans où 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}, pages = {49--60}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {24}, number = {2}, year = {1974}, doi = {10.5802/aif.505}, zbl = {0275.60033}, mrnumber = {54 #3807}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.505/} }
TY - JOUR AU - Dudley, R. M. TI - Metric entropy and the central limit theorem in $C(S)$ JO - Annales de l'Institut Fourier PY - 1974 SP - 49 EP - 60 VL - 24 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.505/ DO - 10.5802/aif.505 LA - en ID - AIF_1974__24_2_49_0 ER -
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/articles/10.5802/aif.505/
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