Before revision: We describe and examine a test for  shape constraints, such as monotonicity, convexity (or both simultaneously) , U-shape, S-shape and others, in a nonparametric framework using partial sums empirical processes.
After revision: We describe and examine a test for shape constraints, such as monotonicity, convexity (or both simultaneously) , log-convexity, r-convexity, among others, in a nonparametric framework using partial sums empirical processes.