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B1846
Title: Some results for the single index model with applications Authors:  Hanna Jankowski - York University (Canada) [presenting]
Cecile Durot - Universite Paris-Sud (France)
Fadoua Balabdaoui - Universite Paris Dauphine (France)
Abstract: We consider the single index models assuming a monotone ridge function. This model is a special case of a general class of models recently considered. We discuss the interesting geometry arising from maximum likelihood estimation in this model, as well as asymptotics in the fixed design setting. The latter is motivated by a data set studying the lethal dose in a decompression sickness study.