Abstract
The two basic components of a statistical model, the deterministic part and the stochastic part, are well separated in the penalized likelihood score L(f) + (λ/2)J(f) of (1.3). The deterministic part is specified via J(f), which defines the notion of smoothness for functions on the domain X. The stochastic part is characterized by L(f),which reflects the sampling structure of the data.
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© 2002 Springer Science+Business Media New York
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Gu, C. (2002). Model Construction. In: Smoothing Spline ANOVA Models. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3683-0_2
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DOI: https://doi.org/10.1007/978-1-4757-3683-0_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2966-2
Online ISBN: 978-1-4757-3683-0
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