Department of Mathematics
Simultaneous confidence band and hypothesis test in generalised varying-coefficient models
Generalised varying-coefficient models (GVC) are very important models. There are a considerable number of literature addressing these models. However, most of the existing literature are devoted to the estimation procedure. In this paper, we systematically investigate the statistical inference for GVC, which includes confidence band as well as hypothesis test. We establish the asymptotic distribution of the maximum discrepancy between the estimated functional coefficient and the true functional coefficient. We compare different approaches for the construction of confidence band and hypothesis test. Finally, the proposed statistical inference methods are used to analyse the data from China about contraceptive use there, which leads to some interesting findings. © 2010 Elsevier Inc.
Generalised likelihood ratio test, Generalised varying-coefficient models, Hypothesis test, Local linear modelling, Simultaneous confidence band
Source Publication Title
Journal of Multivariate Analysis
Zhang, Wenyang, and Heng Peng. "Simultaneous confidence band and hypothesis test in generalised varying-coefficient models." Journal of Multivariate Analysis 101.7 (2010): 1656-1680.