Identifiability of single-index models and additive-index models
W. Lin, Karunarathna B. Kulasekera · Biometrika · 2007
We provide a proof for the identifiability for both single-index models and partially linear single-index models assuming only the continuity of the regression function, a condition much weaker than the differentiability conditions assumed in the existing literature. Our discussion is then extended to the identifiability of the additive-index models.