72 citations · 302 across the 24 of their papers we have counts for
5 papers · 2 filters
Spectral cut-off regularisation for density estimation under multiplicative measurement errors
Sergio Brenner Miguel, Fabienne Comte, Jan Johannes
We study the non-parametric estimation of an unknown density f with support on R+ based on an i.i.d. sample with multiplicative measurement errors. The proposed fully data driven p…
Adaptive minimax testing for circular convolution
Sandra Schluttenhofer, Jan Johannes
Given observations from a circular random variable contaminated by an additive measurement error, we consider the problem of minimax optimal goodness-of-fit testing in a non-asympt…
Minimax testing and quadratic functional estimation for circular convolution
Sandra Schluttenhofer, Jan Johannes
In a circular convolution model, we aim to infer on the density of a circular random variable using observations contaminated by an additive measurement error. We highlight the int…
Adaptive minimax testing in inverse Gaussian sequence space models
Sandra Schluttenhofer, Jan Johannes
In the inverse Gaussian sequence space model with additional noisy observations of the operator, we derive nonasymptotic minimax radii of testing for ellipsoid-type alternatives si…
Data-driven aggregation in non-parametric density estimation on the real line
Sergio Brenner Miguel, Jan Johannes
We study non-parametric estimation of an unknown density with support in R (respectively R+). The proposed estimation procedure is based on the projection on finite dimensional sub…