Estimation non-paramétrique par noyaux : régression polynomiale mobile

Michel Lejeune

Revue de Statistique Appliquée (1985)

  • Volume: 33, Issue: 3, page 43-67
  • ISSN: 0035-175X

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Lejeune, Michel. "Estimation non-paramétrique par noyaux : régression polynomiale mobile." Revue de Statistique Appliquée 33.3 (1985): 43-67. <http://eudml.org/doc/106186>.

@article{Lejeune1985,
author = {Lejeune, Michel},
journal = {Revue de Statistique Appliquée},
keywords = {finite sampling; equidistant x values; unbiasedness; local polynomial approximation; minimum variance kernel; Legendre polynomials; optimal kernel approach; polynomial regression; boundary effects},
language = {fre},
number = {3},
pages = {43-67},
publisher = {Société de Statistique de France},
title = {Estimation non-paramétrique par noyaux : régression polynomiale mobile},
url = {http://eudml.org/doc/106186},
volume = {33},
year = {1985},
}

TY - JOUR
AU - Lejeune, Michel
TI - Estimation non-paramétrique par noyaux : régression polynomiale mobile
JO - Revue de Statistique Appliquée
PY - 1985
PB - Société de Statistique de France
VL - 33
IS - 3
SP - 43
EP - 67
LA - fre
KW - finite sampling; equidistant x values; unbiasedness; local polynomial approximation; minimum variance kernel; Legendre polynomials; optimal kernel approach; polynomial regression; boundary effects
UR - http://eudml.org/doc/106186
ER -

References

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  1. W.S. Cleveland (1979). - Robust locally weighted regression and smoothing scatter plots, JASA, 74, 829-836. Zbl0423.62029MR556476
  2. G. Collomb (1977). - Quelques propriétés de la méthode du noyau pour l'estimation non paramétrique de la régression en un point fixé, C.R. Acad. Sci.Paris, t. 285, Série A, 289-292. Zbl0375.62042MR474612
  3. Y. Dodge, M. Lejeune (1982). — Some difficulties involving non parametric estimation of a density function, Cahiers de Méthodes Quantitatives, Tech. Report No 2 for FNRS, 1-24, Université de Neuchâtel. 
  4. V.A. Epanechnikov (1969). - Nonparametric estimation of a multidimensional probability density. Theory Prob. Appl., 14, 153- 158. Zbl0175.17101MR250422
  5. T. Gasser, H.G. Muller (1979). - Kernel estimation of regression functions, in Smoothing Techniques for curve estimation, ed. Gasser t. & Rosenblatt. Springer-VerlagHeidelberg, 23-68. Zbl0418.62033MR564251
  6. T. Gasser, H.G. Muller (1982). - Estimating regression functions and their derivatives by the kernel method, Mimeographed manuscript. Zbl0548.62028
  7. M.G. Kendall, A. Stuart (1966). — The advanced theory of statistics, Vol. 3, § 46.5, Griffin. Zbl0416.62001
  8. M. Lejeune (1984). — Optimization in non parametric regression. Compstat 84, Proceedings in Computational statistics, 412-426, Physica Verlag, Vienna. Zbl0577.62037
  9. V. Mammitzsch (1983). - A note on kernel estimators fulfilling certain moment conditions, Actes de la 44e session de l'Inst. Int. de Stat. à Madrid, Vol. 1, 30-33. 
  10. R.A. Tapia, J.R. Thompson (1980). — Nonparametric density estimation, Johns Hopkins University Press, Baltimore. Zbl0449.62029

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