POLYNOMIAL SPLINE CONFIDENCE BANDS FOR REGRESSION CURVES

By Jing Wang, Lijian Yang. 2009

99 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d9b87f91a3ebcda56595e0e8e92e9b31aff9d01e

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Citations in the corpus

Inference for single-index quantile regression models with profile optimization (2016, unknown): “…)∣∣ = Op{(J 3n n−1 logn)1/2 + J−r+1n }, and by the smoothness condition of E(X|XTβ0τ = u) given in Condition (C4), we have the nonparametric uniform convergence rates of the least squares spline estimator [Wang and Yang (2009)] given as sup1≤i≤n |X̂2i (β0τ ) − X̃2i | = Op{(Jnn−1 logn)1/2 + J−1n }.”
A Confidence Corridor for Sparse Longitudinal Data Curves (2011, background): “Wu and Zhao (2007) recently constructed a confidence band for the non-stationary mean function, and Wang and Yang (2009), Song and Yang (2009) obtained the spline-based analogy for the mean and variance functions.”
Simultaneous confidence bands for nonparametric regression with functional data (2009, methodology): “For instance, in the context of nonparametric regression on which we focus in this paper, Eubank and Speckman (1993) and Wang and Yang (2009) have used strong invariance principles to build SCB for fixed and random designs.”
Functional Data Analysis (2016, background): “Another inference problem that has been explored is the construction of simultaneous conﬁdence bands for dense (Degras 2008, 2011; Wang & Yang 2009; Cao, Yang & Todem 2012) and sparse (Ma, Yang & Carroll 2012) functional data.”
Uniform confidence bands for functions estimated nonparametrically with instrumental variables (2009, background): “solved only for special cases in which g is a conditional mean function and certain restrictive conditions hold (Zhou, Shen, and Wolfe 1998; Wang and Yang 2009).”
Spline Regression in the Presence of Categorical Predictors (2015, methodology): “For excellent overviews of spline modeling we direct the interested reader to Stone (1985, 1994), Huang (2003) and Wang and Yang (2009). For applications of spline approaches, see Huang (1998) for functional ANOVA models, Huang and Yang (2004), Wang and Yang (2007) and Xue (2009) for additive models”
A Smooth Simultaneous Confidence Corridor for the Mean of Sparse Functional Data (2014, background): “The practical implementation of (3.6 ) and (3.7) is via choosing the bandwidth and estimating EN1, f (x) and σY (x), see Wang and Yang (2009), and references therein.”