Testing nonparametric shape restrictions

09/04/2019
by   Tatiana Komarova, et al.
0

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. We show that, after a suitable transformation, its asymptotic distribution is a functional of the standard Brownian motion, so that critical values are available. However, due to the possible poor approximation of the asymptotic critical values to the finite sample ones, we also describe a valid bootstrap algorithm.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset