This paper proposes a nonparametric test of the non-convexity of a smooth regression function based on least squares or hybrid splines. By a simple formulation of the convexity hypothesis in the class of all polynomial cubic splines, we build a test which has an asymptotic size equal to the...

1 Theory -- 2 RKHS AND STOCHASTIC PROCESSES -- 3 Nonparametric Curve Estimation -- 4 Measures And Random Measures -- 5 Miscellaneous Applications -- 6 Computational Aspects -- 7 A Collection of Examples -- to Sobolev spaces -- A.l Schwartz-distributions or generalized functions -- A.1.1 Spaces...