2 papers
math.PR2026
Extension of Process Convergence With Application to Chatterjee's Rank Correlation
Marius Kroll
We give conditions under which weak convergence of a stochastic process indexed in the class of -dimensional hyperrectangles is sufficient to ensure convergence in the larger cl…
math.ST2025
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…