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math.ST2019
Local differential privacy: Elbow effect in optimal density estimation and adaptation over Besov ellipsoids
Cristina Butucea, Amandine Dubois, Martin Kroll +1
We address the problem of non-parametric density estimation under the additional constraint that only privatised data are allowed to be published and available for inference. For t…
math.ST2018
Finite sample improvement of Akaike's Information Criterion
Adrien Saumard, Fabien Navarro
We emphasize that it is possible to improve the principle of unbiased risk estimation for model selection by addressing excess risk deviations in the design of penalization procedu…
math.ST2017★ 1 cited
Efron's monotonicity property for measures on
Adrien Saumard, Jon A. Wellner
First we prove some kernel representations for the covariance of two functions taken on the same random variable and deduce kernel representations for some functionals of a continu…