77 citations · 561 across the 68 of their papers we have counts for
7 papers · 1 filter
Empirical Regularized Optimal Transport: Statistical Theory and Applications
Marcel Klatt, Carla Tameling, Axel Munk
We derive limit distributions for certain empirical regularized optimal transport distances between probability distributions supported on a finite metric space and show consistenc…
Posterior Consistency in the Binomial Model with Unknown and : A Numerical Study
Laura Fee Schneider, Thomas Staudt, Axel Munk
Estimating the parameters from independent Bin random variables, when both parameters and are unknown, is relevant to a variety of applications. It is particular…
Posterior analysis of in the binomial problem with both parameters unknown -- with applications to quantitative nanoscopy
Johannes Schmidt-Hieber, Laura Fee Schneider, Thomas Staudt +3
Estimation of the population size from i.i.d.\ binomial observations with unknown success probability is relevant to a multitude of applications and has a long history.…
Frame-constrained Total Variation Regularization for White Noise Regression
Miguel del Álamo, Housen Li, Axel Munk
Despite the popularity and practical success of total variation (TV) regularization for function estimation, surprisingly little is known about its theoretical performance in a sta…
Maximum likelihood estimation in hidden Markov models with inhomogeneous noise
Manuel Diehn, Axel Munk, Daniel Rudolf
We consider parameter estimation in finite hidden state space Markov models with time-dependent inhomogeneous noise, where the inhomogeneity vanishes sufficiently fast. Based on th…
Multidimensional multiscale scanning in Exponential Families: Limit theory and statistical consequences
Claudia König, Axel Munk, Frank Werner
We consider the problem of finding anomalies in a -dimensional field of independent random variables , each distributed according to a…