Chèze-Payaud, Nathalie; Poggi, Jean-Michel; Portier, Bruno - In: Statistics & Probability Letters 40 (1998) 2, pp. 189-201
This paper deals with the estimation and the test for linearity of models belonging to a class of additive nonlinear ones. We prove the joint asymptotic normality for a kernel estimator and provide a test for linearity of each function defining the model.