On pointwise stability of cubic smoothing splines with nonuniform sampling points

R. S. Anderssen; F. R. de Hoog; L. B. Wahlbin

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1991)

  • Volume: 25, Issue: 6, page 671-692
  • ISSN: 0764-583X

How to cite

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Anderssen, R. S., de Hoog, F. R., and Wahlbin, L. B.. "On pointwise stability of cubic smoothing splines with nonuniform sampling points." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 25.6 (1991): 671-692. <http://eudml.org/doc/193644>.

@article{Anderssen1991,
author = {Anderssen, R. S., de Hoog, F. R., Wahlbin, L. B.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {smoothing splines},
language = {eng},
number = {6},
pages = {671-692},
publisher = {Dunod},
title = {On pointwise stability of cubic smoothing splines with nonuniform sampling points},
url = {http://eudml.org/doc/193644},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Anderssen, R. S.
AU - de Hoog, F. R.
AU - Wahlbin, L. B.
TI - On pointwise stability of cubic smoothing splines with nonuniform sampling points
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 6
SP - 671
EP - 692
LA - eng
KW - smoothing splines
UR - http://eudml.org/doc/193644
ER -

References

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  1. [1] C. DE BOOR, A Practical Guide to Splines, Springer, New York, 1978. Zbl0406.41003MR507062
  2. [2] J. C. HOLLADAY, Smoothest curve approximation, Math. Comp. 11, 1957, 233-243. Zbl0084.34904MR93894
  3. [3] F. R. DE HOOG and R. S. ANDERSSEN, Convergence of kernel functions for cubic smoothing splines on non-equispaced grids, Austral. J. Statist. 30A, 1988, 90-99. Zbl0681.41006
  4. [4] C. H. REINSCH, Smoothing by spline functions, Numer. Math. 10, 1967, 177 183. Zbl0161.36203MR295532
  5. [5] I. J. SCHOENBERG, Spline functions and the problem of graduation, Proc. Nat. Acad, Sci. 52, 1964, 947-950. Zbl0147.32102MR167768
  6. [6] B. W. SILVERMAN, Spline smoothing : the equivalent variable kernel method, Ann. Statist. 12, 1984, 898-916. Zbl0547.62024MR751281
  7. [7] E. WHITTAKER, On a new method of graduation, Proc. Edinburgh Math. Soc. 41, 1923, 63-75. 

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