The Analysis of Multivariate Ultrastructural Berkson Measurement Errors Model

Berkson measurement error regression model has a wide range of applications in the areas of industry, agriculture, epidemiology, economics, and so on. This paper deals with a multivariate ultrastructural Berkson measurement error regression model, and presents consistent estimators for model parameters. The asymptotic distributions for the estimators are derived, and an application to a simple ultrastructural Berkson measurement error regression model is given. A real example and simulation results are provided for the illustration of the method proposed in this paper.