Asymptotic distributions of nonparametric regression estimators for longitudinal or functional data

By Fang Yao. 2007

55 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Functional single index models for longitudinal data (2011, background): “The following type of continuity, as defined in Yao (2007), will be needed: a real function f(x, y) :Rn+m → R is continuous on A ⊆ Rn, uniformly in y ∈Rm, if, given any x ∈A and δ 0, there exists a neighborhood of x not depending on y, say U(x), such that |f(x′, y)− f(x, y)| δ for all x′ ∈U(x)…”
A Smooth Simultaneous Confidence Corridor for the Mean of Sparse Functional Data (2014, methodology): “For sparse functional data, Yao, Müller, and Wang (2005a) constructed prediction bands for individual trajectories instead of confidence band for the mean function, while Yao (2007) obtained an SCI for the mean and covariance functions.”
A Confidence Corridor for Sparse Longitudinal Data Curves (2011, methodology): “The sparse longitudinal data situation has been considered by Yao et al. (2005a) for individual trajectories instead of the mean function, while Yao (2007) obtained an SCI for the mean and covariance functions.”
Simultaneous confidence bands for nonparametric regression with functional data (2009, background): “Therefore they converge pointwise to a Gaussian white noise process at the usual regression rates (Yao (2007)).”
COVARIATE ADJUSTED FUNCTIONAL PRINCIPAL COMPONENTS ANALYSIS FOR LONGITUDINAL DATA (2010, methodology): “The following type of continuity, as defined in Yao (2007), will be needed: DEFINITION 1.”