Estimation des densités: risque minimax

@article{Bretagnolle1978EstimationDD,  title={Estimation des densit{\'e}s: risque minimax},  author={J. L. Bretagnolle and Catherine Huber},  journal={Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und Verwandte Gebiete},  year={1978},  volume={47},  pages={119-137},  url={https://api.semanticscholar.org/CorpusID:122597694}}
  • J. BretagnolleC. Huber
  • Published1978
  • Mathematics
  • Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
© Springer-Verlag, Berlin Heidelberg New York, 1978, tous droits réservés. L’accès aux archives du séminaire de probabilités (Strasbourg) (http://portail. mathdoc.fr/SemProba/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. 

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17 References

On Some Global Measures of the Deviations of Density Function Estimates

We consider density estimates of the usual type generated by a weight function. Limt theorems are obtained for the maximum of the normalized deviation of the estimate from its expected value, and for…

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In Wegman's paper [5] on nonparametric density estimation, he states that it would be interesting to show that there is no density estimator which has mean integrated square rate better than O(n-1).…

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