Least squares estimators of the mode of a unimodal regression function

成果类型:
Article
署名作者:
Shoung, JM; Zhang, CH
署名单位:
Rutgers University System; Rutgers University New Brunswick
刊物名称:
ANNALS OF STATISTICS
ISSN/ISSBN:
0090-5364
发表日期:
2001
页码:
648-665
关键词:
摘要:
In this paper, we consider nonparametric least squares estimators of the mode of an unknown unimodal regression function. We establish almost sure convergence of these estimators with nearly optimal convergence rates, under the assumption of the exponential tail for the error distributions.