Bowman, A-W; Jones, M-C; Gijbels, I - Catholique de Louvain - Institut de statistique - 1996
This paper provides a test of monotonicity of a regression function. The test is based on the size of a "critical" bandwidth, the amount of smooting necessary to force a nonparametric regression estimate to be monotone. It is analogous to Silverman's test of multimodality in density estimation.