Minimax properties of Fréchet means of discretely sampled curves

DOI10.1214/13-AOS1104zbMath1360.62169arXiv1210.0771MaRDI QIDQ355122

Jérémie Bigot, Xavier Gendre

Publication date: 24 July 2013

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

Full work available at URL: https://arxiv.org/abs/1210.0771

zbMATH Keywords

minimax rate of convergencefunctional data analysisFréchet meancurve registrationdeformable modelsLie group actionnon-Euclidean metricSobolev balls

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (5)

Recursive estimation in a class of models of deformation ⋮ Intensity estimation of non-homogeneous Poisson processes from shifted trajectories ⋮ Fréchet means of curves for signal averaging and application to ECG data analysis ⋮ Bayesian methods for the shape invariant model ⋮ How to Calculate the Barycenter of a Weighted Graph

Uses Software

• fda (R)

Cites Work

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