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Practical smoothing : the joys of P-splines by Paul H. C. Eilers, Brian D. Marx is a nonfiction available to read on EtoBox.

What is Practical smoothing : the joys of P-splines about?

"This is a practical guide to P-splines, a simple, flexible and powerful tool for smoothing. P-splines combine regression on B-splines with simple, discrete, roughness penalties. They were introduced by the authors in 1996 and have been used in many diverse applications. The regression basis makes it straightforward to handle non-normal data, like in generalized linear models. The authors demonstrate optimal smoothing, using mixed model technology and Bayesian estimation, in addition to classical tools like cross-validation and AIC, covering theory and applications with code in R. Going far beyond simple smoothing, they also show how to use P-splines for regression on signals, varying-coefficient models, quantile and expectile smoothing, and composite links for grouped data. Penalties are the crucial elements of P-splines; with proper modifications they can handle periodic and circular data as well as shape constraints. Combining penalties with tensor products of B-splines extends these attractive properties to multiple dimensions. An appendix offers a systematic comparison to other smoothers"-- Provided by publisher

Who reads Practical smoothing : the joys of P-splines?

Author

Paul H. C. Eilers, Brian D. Marx

Publisher

Cambridge University Press (Virtual Publishing)

Published

2021

Language

EN

ISBN

9781108482950

Category

nonfiction

Subjects

Mathematics, Computer Science, Stem