Working Paper

Testing functional inequalities


Sokbae (Simon) Lee, Kyungchui (Kevin) Song, Yoon-Jae Whang

Published Date

22 February 2011


Working Paper (CWP12/11)

This paper develops tests for inequality constraints of nonparametric regression functions. The test statistics involve a one-sided version of Lp-type functionals of kernel estimators. Drawing on the approach of Poissonization, this paper establishes that the tests are asymptotically distribution free, admitting asymptotic normal approximation. Furthermore, the tests have nontrivial local power against a certain class of local alternatives converging to the null at the rate of n-1/2. Some results from Monte Carlo simulations are presented.

Latest version

Testing functional inequalities
Sokbae (Simon) Lee, Song, Kyungchul, Yoon-Jae Whang