Random rates in anisotropic regression - Rejoinder

• 成果类型: Editorial Material
• 署名作者: Hoffmann, M; Lepski, O
• 署名单位: Universite Paris Cite; Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 2002
• 页码: 390-396
• 关键词: Adaptive Estimation; bounds

摘要

We are grateful to all the participants for their stimulating comments and insightful questions. Reading the notes of the contributers, we progressively came to a better understanding of the imperfections of our approach. It also has given an orientation for further efforts: trying to answer their questions, we found several interesting problems for future work. We also believe and hope that this discussion will be relevant for potential readers since it somehow represents the state of modern asymptotic theory in nonparametric statistics. In our rejoinder we mainly focus on the criticism that was raised throughout the discussion. We will develop hereafter some complementary results that can presumably be obtained in the same line as the proofs of the paper.