Efficient estimation for a subclass of shape invariant models

DOI10.1214/07-AOS566zbMath1189.62057arXiv1010.0796OpenAlexW3099743038MaRDI QIDQ973888

Myriam Vimond

Publication date: 26 May 2010

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

Full work available at URL: https://arxiv.org/abs/1010.0796

zbMATH Keywords

efficiencydiscrete Fourier transformsemiparametric estimationshape invariant model

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) General nonlinear regression (62J02)

Related Items (15)

Minimax properties of Fréchet means of discretely sampled curves ⋮ Recursive estimation in a class of models of deformation ⋮ Semiparametric estimation of shifts on compact Lie groups for image registration ⋮ Comparing time varying regression quantiles under shift invariance ⋮ Sharp template estimation in a shifted curves model ⋮ On the consistency of Fréchet means in deformable models for curve and image analysis ⋮ A Robbins-Monro procedure for estimation in semiparametric regression models ⋮ Fréchet means of curves for signal averaging and application to ECG data analysis ⋮ Characterization of barycenters in the Wasserstein space by averaging optimal transport maps ⋮ Statistical models for deformable templates in image and shape analysis ⋮ Identifying shifts between two regression curves ⋮ A parametric registration model for warped distributions with Wasserstein's distance ⋮ A deconvolution approach to estimation of a common shape in a shifted curves model ⋮ Estimation of the shift parameter in regression models with unknown distribution of the observations ⋮ Curve registration by nonparametric goodness-of-fit testing

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