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math.ST2022
Quantiles and depth for directional data from elliptically symmetric distributions
Konstantin Hauch, Claudia Redenbach
We present canonical quantiles and depths for directional data following a distribution which is elliptically symmetric about a direction on the sphere . Our…
math.ST2022
Persistent homology based goodness-of-fit tests for spatial tessellations
Christian Hirsch, Johannes Krebs, Claudia Redenbach
Motivated by the rapidly increasing relevance of virtual material design in the domain of materials science, it has become essential to assess whether topological properties of sto…