a The University of Western Australia, Nedlands, Australia;b The University of Hong Kong, Hong Kong, China;c The London School of Economics, London, United Kingdom;d The University of Queensland, Queensland, Australia
Abstract:
In this paper, we consider testing for additivity in a class of nonparametric stochastic regression models. Two test statistics are constructed and their asymptotic distributions are established. We also conduct a small sample study for one of the test statistics through a simulated example.