3 papers
math.ST2024
Detecting practically significant dependencies in metric spaces via distance correlations
Holger Dette, Marius Kroll
We take a different look at the problem of testing the independence of two metric-space-valued random variables using the distance correlation. Instead of testing if the distance c…
math.ST2024
Optimal Designs for Regression on Lie Groups
Somnath Chakraborty, Holger Dette, Martin Kroll
We consider a linear regression model with complex-valued response and predictors from a compact and connected Lie group. The regression model is formulated in terms of eigenfuncti…
math.ST2013
Additive inverse regression models with convolution-type operators
T. Hildebrandt, N. Bissantz, H. Dette
In a recent paper Birke and Bissantz (2008) considered the problem of nonparametric estimation in inverse regression models with convolution-type operators. For multivariate predic…