4 papers · 1 filter
Association and Independence Test for Random Objects
Hang Zhou, Hans-Georg Müller
We develop a unified framework for testing independence and quantifying association between random objects that are located in general metric spaces. Special cases include function…
Exceedance and force of centrality for functional data
Poorbita Kundu, Hang Zhou, Hans-Georg Müller
Exceedance refers to instances where a dynamic process surpasses given thresholds, e.g., the occurrence of a heat wave. We propose a novel exceedance framework for functional data,…
Conformal inference for random objects
Hang Zhou, Hans-Georg Müller
We develop an inferential toolkit for analyzing object-valued responses, which correspond to data situated in general metric spaces, paired with Euclidean predictors within the con…
Functional Principal Component Analysis for Distribution-Valued Processes
Hang Zhou, Hans-Georg Müller
We develop statistical models for samples of distribution-valued stochastic processes featuring time-indexed univariate distributions, with emphasis on functional principal compone…