The only assumption is that $\text {Median} (Y_ {i})=f (x_ {i})$ for some unknown convex function f. We present a confidence band for this regression function f using suitable multiscale signtests.

Walter Briec, Kristiaan Kerstens, Philippe Vanden Eeckaut, Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity, Journal of Economics, Vol. 81, No. 2 ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information ...

Financial executive pay is a convex function of profits if recipients get a greater increment in pay when returns are high as opposed to moderate, compared with when returns are moderate as opposed to ...