Abstract
In this chapter, we continue to study functional data that consist of curves \(X(\mathbf{\mathrm{S}}_{k} ; t), t \in [0, 1]\) observed at spatial points \(\mathbf{\mathrm{S}}_{1}, \mathbf{\mathrm{S}}_{2}, \ldots, \mathbf{\mathrm{S}}_{N}\). In Chapter 17, we have seen that in this context the simple sample average and the EFPC’s are not the optimal estimators of their population counterparts, and that better estimators can be constructed by using weighted averages.
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© 2012 Springer Science+Business Media New York
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Horváth, L., Kokoszka, P. (2012). Consistency of the simple mean and the empirical functional principal components for spatially distributed curves. In: Inference for Functional Data with Applications. Springer Series in Statistics, vol 200. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3655-3_18
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DOI: https://doi.org/10.1007/978-1-4614-3655-3_18
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-3654-6
Online ISBN: 978-1-4614-3655-3
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