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Equivalent kernels of smoothing splines in nonparametric regression for clustered/longitudinal data

Lin, Xihong; Wang, Naisyin; Welsh, Alan; Carroll, Raymond


For independent data, it is well known that kernel methods and spline methods are essentially asymptotically equivalent (Silverman, 1984). However, recent work of Welsh et al. (2002) shows that the same is not true for clustered/longitudinal data. Splines and conventional kernels are different in localness and ability to account for the within-cluster correlation. We show that a smoothing spline estimator is asymptotically equivalent to a recently proposed seemingly unrelated kernel estimator...[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Biometrika
DOI: 10.1093/biomet/91.1.177


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