Semiparametric Comparison of Two Samples

摘要

We consider the density ratio model which specifies a linear parametric function of the log-likelihood ratio of two densities without assuming any specific form about them and has been found useful for semiparametric comparison of two samples. We study the Box-Cox family of transformations in the context of the density ratio model to suggest a data driven method for identification of the model's true parametric part. The methodology is illustrated by a real data example.