108 citations · 322 across the 24 of their papers we have counts for
24 papers
A New Algorithm for Totally Positive Approximations
Lutz Duembgen, Philip Stange
We revisit the problem of approximating a bivariate distribution with finite support by another such distribution which is totally positive of order two (TP2). Approximation is mea…
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…
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…
On Stochastic Orders and Total Positivity
Lutz Duembgen, Alexandre Moesching
The usual stochastic order and the likelihood ratio order between probability distributions on the real line are reviewed in full generality. In addition, for the distribution of a…
Honest Confidence Bands for Isotonic Quantile Curves
Lutz Duembgen, Lukas Luethi
We provide confidence bands for isotonic quantile curves in nonparametric univariate regression with guaranteed given coverage probability. The method is an adaptation of the confi…
Exact Confidence Bounds in Discrete Models -- Algorithmic Aspects of Sterne's Method
Lutz Duembgen
In this manuscript we review two methods to construct exact confidence bounds for an unknown real parameter in a general class of discrete statistical models. These models include…