000 02291nam a2200349 i 4500
001 CR9781108610247
003 UkCbUP
005 20240916171948.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 180628s2021||||enk o ||1 0|eng|d
020 _a9781108610247 (ebook)
020 _z9781108482950 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA278
_b.E397 2021
082 0 0 _a511/.4223
_223
100 1 _aEilers, Paul H. C.,
_d1948-
_eauthor.
245 1 0 _aPractical smoothing :
_bthe joys of P-splines /
_cPaul H.C. Eilers, Brian D. Marx.
264 1 _aCambridge :
_bCambridge University Press,
_c2021.
300 _a1 online resource (xii, 199 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 26 Feb 2021).
520 _aThis 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.
650 0 _aSmoothing (Statistics)
650 0 _aSpline theory.
700 1 _aMarx, Brian D.,
_d1960-
_eauthor.
776 0 8 _iPrint version:
_z9781108482950
856 4 0 _uhttps://doi.org/10.1017/9781108610247
942 _2ddc
_cEB
999 _c9888
_d9888