Before revision: This note proposes a consistent bootstrap-based distributional approximation for cube root consistent estimators such as the maximum score estimator of Manski (1975)and the isotonic density estimator of Grenander (1956).
After revision: This paper proposes a consistent bootstrap-based distributional approximation for cube root consistent estimators such as the maximum score estimator of Manski (1975)and the isotonic density estimator of Grenander (1956).