Wasserstein \(F\)-tests and confidence bands for the Fréchet regression of density response curves

DOI10.1214/20-AOS1971zbMath1461.62118arXiv1910.13418OpenAlexW3127173256MaRDI QIDQ2656610

Afshin A. Divani, Alexander Petersen, Xi Liu

Publication date: 11 March 2021

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13418

zbMATH Keywords

Wasserstein metricleast squares regressionsimultaneous confidence bandrandom densitiestests for regression effects

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Parametric tolerance and confidence regions (62F25) Applications of statistics to biology and medical sciences; meta analysis (62P10) Parametric hypothesis testing (62F03) General nonlinear regression (62J02) Asymptotic properties of parametric tests (62F05)

Related Items (6)

Statistical inference on the Hilbert sphere with application to random densities ⋮ Bivariate densities in Bayes spaces: orthogonal decomposition and spline representation ⋮ Spherical autoregressive models, with application to distributional and compositional time series ⋮ Fréchet single index models for object response regression ⋮ Single index Fréchet regression ⋮ Wasserstein autoregressive models for density time series

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