A new estimation procedure for a partially nonlinear model via a mixed-effects approach

The authors consider the estimation of the parametric component of a partially nonlinear semiparametric regression model whose nonparametric component is viewed as a nuisance parameter. They show how estimation can proceed through a nonlinear mixed-effects model approach. They prove that under certain regularity conditions, the proposed estimate is consistent and asymptotically Gaussian. They investigate its finite-sample properties through simulations and illustrate its use with data on the relation between the photosynthetically active radiation and the net ecosystem-atmosphere exchange of carbon dioxide.