Geodesic
Kernel estimators and the Dvoretzky–Kiefer–Wolfowitz inequality
Ryszard Zieli/nski1
1 Institute of Mathematics Polish Academy of Sciences 00-956 Warszawa, Poland
Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 401-404.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It turns out that for standard kernel estimators no inequality like that of Dvoretzky–Kiefer–Wolfowitz can be constructed, and as a result it is impossible to answer the question of how many observations are needed to guarantee a prescribed level of accuracy of the estimator. A remedy is to adapt the bandwidth to the sample at hand.
DOI : 10.4064/am34-4-3
Keywords: turns out standard kernel estimators inequality dvoretzky kiefer wolfowitz constructed result impossible answer question many observations needed guarantee prescribed level accuracy estimator remedy adapt bandwidth sample

Ryszard Zieli/nski 1

1 Institute of Mathematics Polish Academy of Sciences 00-956 Warszawa, Poland 
@article{10_4064_am34_4_3,
     author = {Ryszard Zieli/nski},
     title = {Kernel estimators and
 the {Dvoretzky{\textendash}Kiefer{\textendash}Wolfowitz} inequality},
     journal = {Applicationes Mathematicae},
     pages = {401--404},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {2007},
     doi = {10.4064/am34-4-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am34-4-3/}
}
TY  - JOUR
AU  - Ryszard Zieli/nski
TI  - Kernel estimators and
 the Dvoretzky–Kiefer–Wolfowitz inequality
JO  - Applicationes Mathematicae
PY  - 2007
SP  - 401
EP  - 404
VL  - 34
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am34-4-3/
DO  - 10.4064/am34-4-3
LA  - en
ID  - 10_4064_am34_4_3
ER  - 
%0 Journal Article
%A Ryszard Zieli/nski
%T Kernel estimators and
 the Dvoretzky–Kiefer–Wolfowitz inequality
%J Applicationes Mathematicae
%D 2007
%P 401-404
%V 34
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am34-4-3/
%R 10.4064/am34-4-3
%G en
%F 10_4064_am34_4_3
Ryszard Zieli/nski. Kernel estimators and
 the Dvoretzky–Kiefer–Wolfowitz inequality. Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 401-404. doi : 10.4064/am34-4-3. http://geodesic.mathdoc.fr/articles/10.4064/am34-4-3/

Cité par Sources :