Estimation of the distribution of random shifts deformation

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dc.creatorCastillo, Ismael
dc.creatorLoubes, Jean-Michel
dc.date2008-12-17
dc.date.accessioned2026-07-07T12:16:14Z
dc.date.available2026-07-07T12:16:14Z
dc.descriptionConsider discrete values of functions shifted by unobserved translation effects, which are independent realizations of a random variable with unknown distribution $μ$, modeling the variability in the response of each individual. Our aim is to construct a nonparametric estimator of the density of these random translation deformations using semiparametric preliminary estimates of the shifts. Building on results of Dalalyan et al. (2006), semiparametric estimators are obtained in our discrete framework and their performance studied. From these estimates we construct a nonparametric estimator of the target density. Both rates of convergence and an algorithm to construct the estimator are provided.
dc.identifierhttps://arxiv.org/abs/0812.3253
dc.identifierhttp://arxiv.org/abs/0812.3253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211735
dc.subjectStatistics Theory
dc.subject62G05, 62G20
dc.titleEstimation of the distribution of random shifts deformation
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