| Title:
|
Weak pointwise consistency of the cross validatory window estimate in non parametric regression estimation (English) |
| Author:
|
Collomb, G. |
| Author:
|
Sarda, Pascal |
| Author:
|
Vieu, Philippe |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
26 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
789-798 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62G05 |
| MSC:
|
62J02 |
| idZBL:
|
Zbl 0581.62041 |
| idMR:
|
MR831812 |
| . |
| Date available:
|
2008-06-05T21:23:20Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106415 |
| . |
| Reference:
|
[1] COLLOMB G.: Estimation non paramétrique de la régression par la méthode du noyau.Thèse, Université Paul Sabatier, Toulouse, 1976. |
| Reference:
|
[2] COLLOMB G.: Quelques propriétés de la méthode du noyau pour l'estimation non paramétrique de la régression en un point fixé.Comptes Rendus à l'Académie des Sciences de Paris 285, Série A, 1977, 289-292. Zbl 0375.62042, MR 0474612 |
| Reference:
|
[3] COLLOMB G.: Conditions nécessaires et suffisantes de convergence uniforme d'un estimateur de la régression, estimation des dérivées de la régression.Comptes Rendus à l'Académie des Sciences de Paris 288, Série A, 1978, 161-164. MR 0524775 |
| Reference:
|
[4] COLLOMB G.: Estimation de la régression par la méthode des k points les plus proches avec noyau: quelques propriétés de convergence ponctuelle.Lectures Notes in Mathematics 821, 1979, 159-175. MR 0604024 |
| Reference:
|
[5] COLLOMB G.: Estimation non paramétrique de la régression: revue bibliographique.International Statistical Review 49, 1981, 75-93. Zbl 0471.62039, MR 0623011 |
| Reference:
|
[6] COLLOMB G.: Non parametric regression: an up-to-date bibliography.Mathematlsche Operationsforschung und Statistik, Ser. Statistics, to appear, 1985. |
| Reference:
|
[7] DEVROYE L., PENROD C. S.: The consistency of automatic kernel density estimates.Annals of Statistics 12, 4, 1984, 1231-1249. Zbl 0569.62032, MR 0760685 |
| Reference:
|
[8] HALL P.: Asymptotic properties of integrated square error and cross-validation for kernel estimation of a regression function.Zeitschrift für Wahrscheinlichkeitsthéorie u. verw. Gebiete 67, 1984, 175-196. Zbl 0556.62020, MR 0758072 |
| Reference:
|
[9] HÄRDLE W., MARROH J. S.: Optimal bandwidth selection in non parametric regression function estimation.preprint, Universität Heidelberg, 1984. |
| Reference:
|
[10] NADARAYA E. A.: On estimating regression.Theory of Probability and its applications 9, 1964, 141-142. Zbl 0136.40902 |
| Reference:
|
[11] RICE J.: Bandwidth choice for nonparametric regression.Annals of Statistics 12, 4, 1984, 1215-1230. Zbl 0554.62035, MR 0760684 |
| Reference:
|
[12] ROSENBLATT M.: Remarks on some nonparametric estimates of a density function.Annals of Mathematical Statistics 27, 1956, 642-669. Zbl 0073.14602, MR 0079873 |
| Reference:
|
[13] WATSON G. S.: Smooth regression analysis.Sankhya, Ser. A, vol. 26, 1964, 359-372. Zbl 0137.13002, MR 0185765 |
| Reference:
|
[14] WONG W. W.: On the consistency of cross validation in kernel nonparametric regression.Annals of Statistics 11, 4, 1983, 1136-1141. Zbl 0539.62046, MR 0720259 |
| . |
