Density estimation under local differential privacy and Hellinger loss
Author:
Affiliation:
1. Université Jean Monnet Saint-Étienne, CNRS, Institut Camille Jordan UMR 5208, F-42023, Saint-Étienne, France
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Subject
Statistics and Probability
Reference32 articles.
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3. Lepskiĭ, O.V. (1991). Asymptotically minimax adaptive estimation. I. Upper bounds. Optimally adaptive estimates. Theory Probab. Appl. 36 682–697.
4. Baraud, Y. (2011). Estimator selection with respect to Hellinger-type risks. Probab. Theory Related Fields 151 353–401. 10.1007/s00440-010-0302-y
5. Birgé, L. (2006). Model selection via testing: An alternative to (penalized) maximum likelihood estimators. Ann. Inst. Henri Poincaré Probab. Stat. 42 273–325. 10.1016/j.anihpb.2005.04.004
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1. Multivariate density estimation from privatised data: universal consistency and minimax rates;Journal of Nonparametric Statistics;2023-01-05
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