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math.ST2021★ 1 cited
Multivariate density estimation from privatised data: universal consistency and minimax rates
László Györfi, Martin Kroll
We revisit the classical problem of nonparametric density estimation but impose local differential privacy constraints. Under such constraints, the original multivariate data $X_1,…
math.ST2021
Asymptotic equivalence for nonparametric regression with dependent errors: Gauss-Markov processes
Holger Dette, Martin Kroll
For the class of Gauss-Markov processes we study the problem of asymptotic equivalence of the nonparametric regression model with errors given by the increments of the process and…