Nonnegative garrote in additive models using P-splines

The nonnegative garrote method was proposed as a variable selection method by Breiman (1995). In this talk we consider additive modeling and apply the nonnegative garrote method for selecting among the d independent variables. For initial estimation of the d unknown univariate functions, we use P-splines estimation (Eilers & Marx (1996)) and backfitting is applied to deal with the additive modeling. We compare the pro- posed method involving P-splines with some other methods for additive models. The finite sample performance of the procedure is investigated via a simulation study and an illustration with real data is provided.