Resource title

Smoothing Splines Estimators in Functional Linear Regression with Errors-in-Variables

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Resource description

This work deals with a generalization of the Total Least Squares method in the context of the functional linear model. We first propose a smoothing splines estimator of the functional coefficient of the model without noise in the covariates and we obtain an asymptotic result for this estimator. Then, we adapt this estimator to the case where the covariates are noisy and we also derive an upper bound for the convergence speed. Our estimation procedure is evaluated by means of simulations.

Resource author

Alois Kneip, Christophe Crambes, Herve Cardot, Pascal Sarda

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Resource publish date

Resource language

eng

Resource content type

text/html

Resource resource URL

http://hdl.handle.net/10419/22947

Resource license

Adapt according to the presented license agreement and reference the original author.