Section: New Results

Functional Binary Linear Models for Stratified Samples

Participant : Sophie Dabo-Niang.

Sophie Dabo-Niang's new result concern a work on functional binary linear models for stratified samples. This work introduces a new functional binary choice model in a case-control or choice-based sample design context, where the response is binary, while the explanatory variable is functional. The model is estimated when the sample is stratified with respect to the values of the response variable. A dimensional reduction of the space of the explanatory random function based on a Karhunen-Loève expansion is used to define a conditional maximum likelihood estimate of the model. Based on this formulation, several asymptotic properties are given. Numerical experiments are used to compare the proposed method with the ordinary maximum likelihood method, which ignores the nature of the sampling. The proposed model yields encouraging results.