63 citations · 200 across the 10 of their papers we have counts for
3 papers · 1 filter
What is resolution? A statistical minimax testing perspective on super-resolution microscopy
Gytis Kulaitis, Axel Munk, Frank Werner
As a general rule of thumb the resolution of a light microscope (i.e. the ability to discern objects) is predominantly described by the full width at half maximum (FWHM) of its poi…
Bump detection in the presence of dependency: Does it ease or does it load?
Farida Enikeeva, Axel Munk, Markus Pohlmann +1
We provide the asymptotic minimax detection boundary for a bump, i.e. an abrupt change, in the mean function of a stationary Gaussian process. This will be characterized in terms o…
Bump detection in heterogeneous Gaussian regression
Farida Enikeeva, Axel Munk, Frank Werner
We analyze the effect of a heterogeneous variance on bump detection in a Gaussian regression model. To this end we allow for a simultaneous bump in the variance and specify its imp…