Topics include conic sections, parametric equations and polar equations. Multiple representations, transformations, data analysis techniques and interconnections among geometry, probability and ...

In this paper, we study the differentiability of implicitly defined functions which we encounter in the profile likelihood estimation of parameters in semi-parametric models.

Thomas S. Shively, Thomas W. Sager, Stephen G. Walker, A Bayesian Approach to Non-Parametric Monotone Function Estimation, Journal of the Royal Statistical Society.