Birke, Melanie (contributor); Dette, Holger (contributor) - 2006
A new test for strict monotonicity of the regression function is proposed which is based on a composition of an … estimate of the inverse of the regression function with a common regression estimate. This composition is equal to the identity … if and only if the "trueʺ regression function is strictly monotone, and a test based on an L 2-distance is investigated …