Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions> 2015

Twenty years of P-splines

  • Identification data

    Identifier: RP:2429
    Handle: https://hdl.handle.net/20.500.11797/RP2429
    Authors:
    Durbán, MariaMarx, Brian D.Eilers, Paul H.C.
    Abstract:
    P-splines first appeared in the limelight twenty years ago. Since then they have become popular in applications and in theoretical work. The combination of a rich B-spline basis and a simple difference penalty lends itself well to a variety of generalizations, because it is based on regression. In effect, P-splines allow the building of a “backbone” for the “mixing and matching” of a variety of additive smooth structure components, while inviting all sorts of extensions: varying-coefficient effects, signal (functional) regressors, two-dimensional surfaces, non-normal responses, quantile (expectile) modelling, among others. Strong connections with mixed models and Bayesian analysis have been established. We give an overview of many of the central developments during the first two decades of P-splines.

  • Others:

    URV's Author/s: Durbán, Maria Marx, Brian D. Eilers, Paul H.C.
    Keywords: B-splines, penalty, additive model, mixed model, multidimensional smoothing
    Abstract: P-splines first appeared in the limelight twenty years ago. Since then they have become popular in applications and in theoretical work. The combination of a rich B-spline basis and a simple difference penalty lends itself well to a variety of generalizations, because it is based on regression. In effect, P-splines allow the building of a “backbone” for the “mixing and matching” of a variety of additive smooth structure components, while inviting all sorts of extensions: varying-coefficient effects, signal (functional) regressors, two-dimensional surfaces, non-normal responses, quantile (expectile) modelling, among others. Strong connections with mixed models and Bayesian analysis have been established. We give an overview of many of the central developments during the first two decades of P-splines.
    Journal publication year: 2015
    Publication Type: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article

  • Keywords:

    B-splines, penalty, additive model, mixed model, multidimensional smoothing

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