We take a unified approach to asymptotic properties of $M_m$ estimates based on i.i.d. observations defined through the minimization of a real-valued criterion function of one or more variables. Our results are applicable to a host of location and scale estimators found in the literature.
"Bahadur representation of $M\sb m$ estimates." Ann. Statist. 26 (2) 771 - 777, April 1998. https://doi.org/10.1214/aos/1028144859