Multiscale methods for shape constraints in deconvolution: confidence statements for qualitative features
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 …
features Page 1 The Annals of Statistics 2013, Vol. 41, No. 3, 1299–1328 DOI …
Non asymptotic minimax rates of testing in signal detection with heterogeneous variances
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 …
hypotheses testing in an heteroscedastic setting. More precisely, we deal with sequences (Y …
Spline confidence bands for variance functions
Q Song, L Yang - Journal of Nonparametric Statistics, 2009 - Taylor & Francis
Asymptotically exact and conservative confidence bands are obtained for possibly
heteroscedastic variance functions, using piecewise constant and piecewise linear spline …
heteroscedastic variance functions, using piecewise constant and piecewise linear spline …
Testing inverse problems: a direct or an indirect problem?
In this paper, we consider ill-posed inverse problem models Y= Tf+ εξ where T denotes a
compact operator, ε a noise level, ξ a Gaussian white noise and f the function of interest …
compact operator, ε a noise level, ξ a Gaussian white noise and f the function of interest …
Goodness-of-fit test for noisy directional data
C Lacour, TM Pham Ngoc - 2014 - projecteuclid.org
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 …
sample Z_i=iX_i, i=1,\dots,N is observed. We define a nonparametric test procedure to …
Testing for image symmetries—With application to confocal microscopy
N Bissantz, H Holzmann… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
Statistical tests are introduced for checking whether an image function f (x, y) defined on the
unit disc D={(x, y): x 2+ y 2 les 1} is invariant under certain symmetry transformations of D …
unit disc D={(x, y): x 2+ y 2 les 1} is invariant under certain symmetry transformations of D …
A new set of tools for goodness-of-fit validation
GR Ducharme, T Ledwina - Electronic Journal of Statistics, 2024 - projecteuclid.org
We introduce two new tools to assess the validity of statistical distributions. Both the simple
and composite null hypothesis contexts are considered. These tools are based on …
and composite null hypothesis contexts are considered. These tools are based on …
Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems
M Kroll - ESAIM: Probability and Statistics, 2019 - esaim-ps.org
We consider the estimation of quadratic functionals in a Gaussian sequence model where
the eigenvalues are supposed to be unknown and accessible through noisy observations …
the eigenvalues are supposed to be unknown and accessible through noisy observations …
Goodness-of-fit testing strategies from indirect observations
JM Loubes, C Marteau - Journal of Nonparametric Statistics, 2014 - Taylor & Francis
We consider in this paper a goodness-of-fit testing problem in a density framework. In
particular, we deal with an error-in-variables model where each new incoming observation …
particular, we deal with an error-in-variables model where each new incoming observation …