Skip to main content
Open Access Publications from the University of California

Nonlinear Varying-Coefficient Models with Applications to a Photosynthesis Study

  • Author(s): Kürüm, E
  • Li, R
  • Wang, Y
  • Şentürk, D
  • et al.

Published Web Location
No data is associated with this publication.
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Public License

Motivated by a study on factors affecting the level of photosynthetic activity in a natural ecosystem, we propose nonlinear varying-coefficient models, in which the relationship between the predictors and the response variable is allowed to be nonlinear. One-step local linear estimators are developed for the nonlinear varying-coefficient models and their asymptotic normality is established leading to point-wise asymptotic confidence bands for the coefficient functions. Two-step local linear estimators are also proposed for cases where the varying-coefficient functions admit different degrees of smoothness; bootstrap confidence intervals are utilized for inference based on the two-step estimators. We further propose a generalized F-test to study whether the coefficient functions vary over a covariate. We illustrate the proposed methodology via an application to an ecology data set and study the finite sample performance by Monte Carlo simulation studies. © 2013 International Biometric Society.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Main Content

This item is under embargo until December 31, 2999.