On the strong consistency of asymptotic M-estimators
  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 method relies on the existence of a sort of contraction of the parameter space which admits the true parameter as a fixed point. The proofs are short and elementary. 
Djalil Chafai (LSProba, Upte Umr Inra/Envt 181), Didier Concordet   (LSProba, Upte Umr Inra/Envt 181)