A short and elementary proof of the main Bahadur-Kiefer theorem

• 成果类型: Article
• 署名作者: Einmahl, JHJ
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1996
• 页码: 526-531
• 关键词: oscillation

摘要

A short proof of the lower bound in the strong version of the famous Theorem IA in Kiefer (1970) on the Bahadur-Kiefer process is presented. The proof is elementary and, in particular, does not use strong approximations.