Title: Nonparametric tilted function estimation: Some recent development
Authors: Hassan Doosti - Macquarie University (Australia) [presenting]
Abstract: The history of nonparametric curve estimation by tilting and its applications is discussed. The target will be the estimation of density functions and regression functions. Then, we will review some recent developments in the field. We will also show that the proposed tilted estimator provides a convergence rate which is strictly faster than the usual rate. The performance of the proposed tilted estimator through both theoretical and numerical studies will be investigated. Finally we propose new applications/open problems of tilting in some applied fields.