NON-PARAMETRIC AND SEMIPARAMETRIC MAXIMUM-LIKELIHOOD ESTIMATORS AND THE VON-MISES METHOD .2.

Citation
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
Citations number
53
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
03036898
Volume
20
Issue
4
Year of publication
1993
Pages
271 - 288
Database
ISI
SICI code
0303-6898(1993)20:4<271:NASMEA>2.0.ZU;2-B
Abstract
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.