A Simple Smooth Backfitting Method for Additive Models

  title={A Simple Smooth Backfitting Method for Additive Models},
  author={Enno Mammen and Byeong U. Park},
In this paper a new smooth backfitting estimate is proposed for additive regression models. The estimate has the simple structure of Nadaraya–Watson smooth backfitting but at the same time achieves the oracle property of local linear smooth backfitting. Each component is estimated with the same asymptotic accuracy as if the other components were known. 1. Introduction. In additive models it is assumed that the influence of different covariates enters separately into the regression model and… CONTINUE READING