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Optimal exponential bounds for aggregation of estimators for the Kullback-Leibler loss

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Publication:2396345
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DOI10.1214/17-EJS1269zbMath1364.62082arXiv1601.05686OpenAlexW2963931046WikidataQ115517785 ScholiaQ115517785MaRDI QIDQ2396345

Richard Fischer, Jean-François Delmas, Anne Dutfoy, Cristina Butucea

Publication date: 8 June 2017

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05686


zbMATH Keywords

aggregationspectral density estimationKullback-Leibler divergenceprobability density estimationsharp oracle inequality


Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric estimation (62G05) Inference from stochastic processes and spectral analysis (62M15)


Related Items (5)

An adaptive multiclass nearest neighbor classifier ⋮ Optimal Kullback-Leibler aggregation in mixture density estimation by maximum likelihood ⋮ Fast adaptive estimation of log-additive exponential models in Kullback-Leibler divergence ⋮ Averaging of density kernel estimators ⋮ A non-asymptotic approach for model selection via penalization in high-dimensional mixture of experts models







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