In this paper, an asymptotic minimax theory for robust estimation of a one-dimensional parameter is derived, which is an asymptotic counterpart, and generalization to an arbitrary parameter, of Huber's finite sample minimax theory for the location case. A particular variability measure and results from robust asymptotic testing are employed. The results show a relationship of this approach to Hampel's local theory of robustness.
"Estimates Derived from Robust Tests." Ann. Statist. 8 (1) 106 - 115, January, 1980. https://doi.org/10.1214/aos/1176344894