Linear calibration in functional regression models

Abstract

This paper discusses calibration in functional regression models. Classical and inverse type estimators are considered. First order approximation to the bias and to the mean squared error (MSE) of the estimators are considered. Numerical comparisons seem to indicate that the classical estimator obtained via maximum likelihood estimation performs better than the other estimators considered.

Keywords:

• classical estimator
• inverse estimator
• bias
• mean squared error