93 citations · 174 across the 4 of their papers we have counts for
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math.ST2019
Nonparametric Confidence Regions for Level Sets: Statistical Properties and Geometry
Wanli Qiao, Wolfgang Polonik
This paper studies and critically discusses the construction of nonparametric confidence regions for density level sets. Methodologies based on both vertical variation and horizont…
math.ST2018
Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with application
Gabriel Chandler, Wolfgang Polonik
A method for extracting multiscale geometric features from a data cloud is proposed and analyzed. The basic idea is to map each pair of data points into a real-valued feature funct…
math.ST2009★ 80 cited
Empirical spectral processes for locally stationary time series
Rainer Dahlhaus, Wolfgang Polonik
A time-varying empirical spectral process indexed by classes of functions is defined for locally stationary time series. We derive weak convergence in a function space, and prove a…