Empirical likelihood inference for partial functional linear regression models based on B spline

Abstract

In this paper, we apply empirical likelihood method to inference for the regression parameters in the partial functional linear regression models based on B spline. We prove that the empirical log likelihood ratio for the regression parameters converges in law to a weighted sum of independent chi square distributions and run simulations to assess the finite sample performance of our method.

References in corpus (1)

• A reproducing kernel Hilbert space approach to functional linear regression