Statistical inferences on partially linear models and their applications

In this paper, we propose a class of partially nonlinear models, and develop two new estimation procedures for these models. Asymptotic normality of the resulting estimates are established. We further propose an estimation procedure and a generalized likelihood ratio test for the baseline function in partially nonlinear models. Asymptotic properties of the newly proposed estimation procedure and test are derived. Finite sample performance of the proposed inference procedures are assessed by Monte Carlo simulation studies. We further illustrate the proposed procedures by an application in the field of ecology.