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math.ST2005
On the strong consistency of asymptotic M-estimators
Djalil Chafai, Didier Concordet
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The m…
math.ST2004
On nonparametric maximum likelihood for a class of stochastic inverse problems
Djalil Chafai, Jean-Michel Loubes
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general sett…