A short and elementary proof of the main Bahadur-Kiefer theorem
John H. J. Einmahl · The Annals of Probability · 1996
A short proof of the lower bound in the strong version of the famous Theorem 1A in Kiefer (1970) on the Bahadur-Kiefer process is presented. The proof is elementary and, in particular, does not use strong approximations.