In this paper we exhibit an important but rather complicated example to which the Le Cam-Yang methods may, after some work, be applied. Semiparametric transformation models arise quite naturally in survival analysis. Specifically, let (Z1, T1), (Z2, T2), . . . , (Zn, Tn) be independent and identically distributed with Z, a vector of covariates, having distribution H, and T real. We suppose ther...

In this paper we study the mathematical program with geometric constraints such that the image of a mapping from a Banach space is included in a nonempty and closed subset of a finite dimensional space. We obtain the nonsmooth enhanced Fritz John necessary optimality conditions in terms of the approximate subdifferential. In the case where the Banach space is a weakly compactly generated Asplun...

This article studies maximum empirical likelihood estimation in the case of constraint functions that may be discontinuous and/or depend on additional parameters. The later is the case in applications to semiparametric models where the constraint functions may depend on the nuisance parameter. Our results are thus formulated for empirical likelihoods based on estimated constraint functions that...