3 papers
math.ST2026
On the tails of log-concave density estimators
Didier B. Ryter, Lutz Duembgen
It is shown that the nonparametric maximum likelihood estimator of a univariate log-concave probability density satisfies desirable consistency properties in the tail regions. Spec…
stat.ME2025
Nonparametric Smoothing of Directional and Axial Data
Lutz Duembgen, Caroline Haslebacher
We discuss generalized linear models for directional data where the conditional distribution of the response is a von Mises-Fisher distribution in arbitrary dimension or a Bingham…
math.ST2025
Connecting model-based and model-free approaches to linear least squares regression
Lutz Duembgen, Laurie Davies
In a regression setting with a response vector and given regressor vectors, a typical question is to what extent the response is related to these regressors, specifically, how well…