Affine Gateaux Differentials and the von Mises Statistical Calculus
Abstract
This paper presents a general study of one-dimensional differentiability for functionals defined on convex domains that are not necessarily open. The local approximation is carried out using affine functionals, as opposed to linear functionals typically employed in standard Gateaux differentiability. This affine notion of differentiability naturally arises in certain applications and has been utilized by some authors in the statistics literature. We aim to offer a unified and comprehensive perspective on this concept
Lorenzo Maria Stanca
Assistant Professor of Economics
Greetings! I hold concurrent appointments as an Assistant Professor at Collegio Carlo Alberto and within the Department of Economics, Social Studies, Applied Mathematics and Statistics (ESOMAS) at the University of Turin. My academic focus is centered on economic theory and applied mathematics, with a particular emphasis on decision theory. I lead the FIS 3 project “Assessing Climate Change Risk: The Welfare Implications of Long-Run Temperature Variations.”