Uniform convergence rates for nonparametric regression and principal component analysis in functional/longitudinal data
نویسندگان
چکیده
منابع مشابه
Uniform Convergence Rates for Nonparametric Regression and Principal Component Analysis in Functional/longitudinal Data
We consider nonparametric estimation of the mean and covariance functions for functional/longitudinal data. Strong uniform convergence rates are developed for estimators that are local-linear smoothers. Our results are obtained in a unified framework in which the number of observations within each curve/cluster can be of any rate relative to the sample size. We show that the convergence rates f...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 2010
ISSN: 0090-5364
DOI: 10.1214/10-aos813