Confidence and prediction intervals in semi-functional partial linear regression

  • Paula Raña
  • Germán Aneiros
  • Philippe Vieu
  • Juan Vilar
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)


Semi-functional partial linear regression model allows to deal with a nonparametric and a linear component within the functional regression. Naïve and wild bootstrap procedures are proposed to approximate the distribution of the estimators for each component in the model, and their asymptotic validities are obtained in the context of dependence data, under α-mixing conditions. Based on that bootstrap procedures, confidence intervals can be obtained for each component in the model, which can be also extended to deal with prediction intervals and prediction densities.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Paula Raña
    • 1
  • Germán Aneiros
    • 1
  • Philippe Vieu
    • 2
  • Juan Vilar
    • 1
  1. 1.Departamento de MatemáticasUniversidade da CoruñaA CoruñaSpain
  2. 2.Institut de MathématiquesUniversité Paul SabatierToulouseFrance

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