Rd. Gill et Aw. Vandervaart, NON-PARAMETRIC AND SEMIPARAMETRIC MAXIMUM-LIKELIHOOD ESTIMATORS AND THE VON-MISES METHOD .2., Scandinavian journal of statistics, 20(4), 1993, pp. 271-288
Having shown in Part I of this paper that some well-known NPMLE's are
compactly differentiable functions of the empirical data, and moreover
solve a compactly differentiable generalized likelihood equation, we
prove an efficiency theorem which shows that such an estimator asympto
tically achieves the information bound in the generalized Hajek-Le Cam
convolution and asymptotic local minimax theorems.