Before revision:  We establish that under weak assumptions the estimator  concentrates in a 1 /root n neighborhood of the target with deviations controlled by the normal laws, and the estimator attains the semi-parametric efficiency bound in many cases.
After revision:  We establish that under weak assumptions the estimator of the functional concentrates in a 1 /root n neighborhood of the target with deviations controlled by the normal laws, and the estimator attains the semi-parametric efficiency bound in many cases.