Semi-parametric estimation of shifts

dc.creatorGamboa, Fabrice
dc.creatorLoubes, Jean-Michel
dc.creatorMaza, Elie
dc.date2007-12-12
dc.date.accessioned2026-07-07T08:49:28Z
dc.date.available2026-07-07T08:49:28Z
dc.descriptionWe observe a large number of functions differing from each other only by a translation parameter. While the main pattern is unknown, we propose to estimate the shift parameters using $M$-estimators. Fourier transform enables to transform this statistical problem into a semi-parametric framework. We study the convergence of the estimator and provide its asymptotic behavior. Moreover, we use the method in the applied case of velocity curve forecasting.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-EJS026 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0712.1936
dc.identifierhttp://arxiv.org/abs/0712.1936
dc.identifierElectronic Journal of Statistics 2007, Vol. 1, 616-640
dc.identifierdoi:10.1214/07-EJS026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144311
dc.subjectStatistics Theory
dc.subject60G17 (Primary) 62G07 (Secondary)
dc.titleSemi-parametric estimation of shifts
dc.typetext

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