This paper is the attempt to summarize the state of art in additive and generalized additive models (GAM). The emphasis is on approaches and numerical procedures which have emerged since the monograph of Hastie and Tibshirani (1990) although reconsidering certain aspects of their work. Apart...

This paper is the attempt to summarize the state of art in additive and generalized additive models (GAM). The emphasis is on approaches and numerical procedures which have emerged since the monograph of Hastie and Tibshirani (1990) although reconsidering certain aspects of their work. Apart...

Additive and Generalized Additive Models (GAM) are discussed as completely nonparametric alternatives to Generalized Linear Models (GLM). Single Index Models (SIM) are reviewed as a means of nonparametrically specifying the link function in GLMs. Semiparametric models with a single as well as a...