Estimating a Regression Function

Sara van de Geer

doi:10.1214/aos/1176347632

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Home > Journals > Ann. Statist. > Volume 18 > Issue 2 > Article

June, 1990 Estimating a Regression Function

Sara van de Geer

Ann. Statist. 18(2): 907-924 (June, 1990). DOI: 10.1214/aos/1176347632

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Abstract

In this paper, an entropy approach is proposed to establish rates of convergence for estimators of a regression function. General regression problems are considered, with linear regression, splines and isotonic regression as special cases. The estimation methods studied are least squares, least absolute deviations and penalized least squares. Common features of these methods and various regression problems are highlighted.