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- W3081285128 abstract "Penalized spline methods are popular for functional data analysis but their asymptotic properties have not been established. We present a theoretic study of the $L_{2}$ and uniform convergence of penalized splines for estimating the mean and covariance functions of functional data under general settings. The established convergence rates for the mean function estimation are mini-max rate optimal and the rates for the covariance function estimation are comparable to those using other smoothing methods." @default.
- W3081285128 created "2020-09-01" @default.
- W3081285128 creator A5048612717 @default.
- W3081285128 date "2020-11-01" @default.
- W3081285128 modified "2023-10-14" @default.
- W3081285128 title "Asymptotic properties of penalized splines for functional data" @default.
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- W3081285128 doi "https://doi.org/10.3150/20-bej1209" @default.
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