In this paper, we consider nonparametric least squares estimators of the mode of an unknown unimodal regression function. We establish almost sure convergence of these estimators with nearly optimal convergence rates, under the assumption of the exponential tail for the error distributions.
"Least squares estimators of the mode of a unimodal regression function." Ann. Statist. 29 (3) 648 - 665, June 2001. https://doi.org/10.1214/aos/1009210684