Supplement to “Multiscale scanning in inverse problems”. This supplementary material
contains an explanation of the full width at half maximum (FWHM), a detailed mathematical …

Multiscale methods for shape constraints in deconvolution: Confidence statements for qualitative
features Page 1 The Annals of Statistics 2013, Vol. 41, No. 3, 1299–1328 DOI …

The aim of this paper is to establish non-asymptotic minimax rates for goodness-of-fit
hypotheses testing in an heteroscedastic setting. More precisely, we deal with sequences (Y …

We consider the problem of testing a particular type of composite null hypothesis under a
nonparametric multivariate regression model. For a given quadratic functional Q, the null …

Testing of hypotheses is a well studied topic in mathematical statistics. Recently, this issue
has also been addressed in the context of inverse problems, where the quantity of interest is …

We consider spherical data X_i noised by a random rotation i∈SO(3) so that only the
sample Z_i=iX_i, i=1,\dots,N is observed. We define a nonparametric test procedure to …

Let Y∈ ℝn be a random vector with mean s and covariance matrix σ2PntPn where Pn is
some known n× n-matrix. We construct a statistical procedure to estimate s as well as under …

The authors discuss how general regularization schemes, in particular, linear regularization
schemes and projection schemes, can be used to design tests for signal detection in …

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 …

The effect of measurement errors in discriminant analysis is investigated. Given
observations Z=X+ε, where ε denotes a random noise, the goal is to predict the density of X …