Estimation et test dans les modèles de régression non paramétrique

Abstract

The object of our work is based on some methods of estimation and hypotheses test in a nonparametric regression model. More precisely, first, it is about stimating the function of regression by an approximation of the decomposition of Fourier series and to estimate the Fourier coefficients. Then, we construct hypothesis tests which the regression function is a trigonometric polynomial of order at most given value s