Dans cette Note, nous obtenons la consistance uniforme en terme de la fenêtre pour l'estimateur non paramétrique de l'entropie. Nos arguments de démonstration sont basés sur les résultats obtenus par Einmahl et Mason (2005) [10].
We establish uniform-in-bandwidth consistency for kernel-type estimators of the differential entropy. Our proofs rely on the methods of Einmahl and Mason (2005) [10].
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@article{CRMATH_2010__348_5-6_317_0, author = {Bouzebda, Salim and Elhattab, Issam}, title = {Uniform in bandwidth consistency of the kernel-type estimator of the {Shannon's} entropy}, journal = {Comptes Rendus. Math\'ematique}, pages = {317--321}, publisher = {Elsevier}, volume = {348}, number = {5-6}, year = {2010}, doi = {10.1016/j.crma.2009.12.007}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2009.12.007/} }
TY - JOUR AU - Bouzebda, Salim AU - Elhattab, Issam TI - Uniform in bandwidth consistency of the kernel-type estimator of the Shannon's entropy JO - Comptes Rendus. Mathématique PY - 2010 SP - 317 EP - 321 VL - 348 IS - 5-6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2009.12.007/ DO - 10.1016/j.crma.2009.12.007 LA - en ID - CRMATH_2010__348_5-6_317_0 ER -
%0 Journal Article %A Bouzebda, Salim %A Elhattab, Issam %T Uniform in bandwidth consistency of the kernel-type estimator of the Shannon's entropy %J Comptes Rendus. Mathématique %D 2010 %P 317-321 %V 348 %N 5-6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2009.12.007/ %R 10.1016/j.crma.2009.12.007 %G en %F CRMATH_2010__348_5-6_317_0
Bouzebda, Salim; Elhattab, Issam. Uniform in bandwidth consistency of the kernel-type estimator of the Shannon's entropy. Comptes Rendus. Mathématique, Tome 348 (2010) no. 5-6, pp. 317-321. doi : 10.1016/j.crma.2009.12.007. http://archive.numdam.org/articles/10.1016/j.crma.2009.12.007/
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