Wasserstein $F$-tests and confidence bands for the Fréchet regression of density response curves
密度曲线 Fréchet 回归的 Wasserstein F 检验与置信带
Data consisting of samples of probability density functions are increasingly prevalent, necessitating the development of methodologies for their analysis that respect the inherent nonlinearities associated with densities. In many applications, density curves appear as functional response objects in a regression model with vector predictors. For such models, inference is key to understand the importance of density-predictor relationships, and the uncertainty associated with…