Polynomial and spline estimators of the distribution function with prescribed accuracy

Zbigniew Ciesielski; Ryszard Zieliński

Applicationes Mathematicae (2009)

  • Volume: 36, Issue: 1, page 1-12
  • ISSN: 1233-7234

Abstract

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Dvoretzky-Kiefer-Wolfowitz type inequalities for some polynomial and spline estimators of distribution functions are constructed. Moreover, hints on the corresponding algorithms are given as well.

How to cite

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Zbigniew Ciesielski, and Ryszard Zieliński. "Polynomial and spline estimators of the distribution function with prescribed accuracy." Applicationes Mathematicae 36.1 (2009): 1-12. <http://eudml.org/doc/279872>.

@article{ZbigniewCiesielski2009,
abstract = {Dvoretzky-Kiefer-Wolfowitz type inequalities for some polynomial and spline estimators of distribution functions are constructed. Moreover, hints on the corresponding algorithms are given as well.},
author = {Zbigniew Ciesielski, Ryszard Zieliński},
journal = {Applicationes Mathematicae},
keywords = {nonparametric estimation; distribution estimation; Dvoretzky-Kiefer-Wolfowitz inequality; polynomial estimators; spline estimators; smoothing of empirical distribution function},
language = {eng},
number = {1},
pages = {1-12},
title = {Polynomial and spline estimators of the distribution function with prescribed accuracy},
url = {http://eudml.org/doc/279872},
volume = {36},
year = {2009},
}

TY - JOUR
AU - Zbigniew Ciesielski
AU - Ryszard Zieliński
TI - Polynomial and spline estimators of the distribution function with prescribed accuracy
JO - Applicationes Mathematicae
PY - 2009
VL - 36
IS - 1
SP - 1
EP - 12
AB - Dvoretzky-Kiefer-Wolfowitz type inequalities for some polynomial and spline estimators of distribution functions are constructed. Moreover, hints on the corresponding algorithms are given as well.
LA - eng
KW - nonparametric estimation; distribution estimation; Dvoretzky-Kiefer-Wolfowitz inequality; polynomial estimators; spline estimators; smoothing of empirical distribution function
UR - http://eudml.org/doc/279872
ER -

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