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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am36-1-1,
author = {Zbigniew Ciesielski and Ryszard Zieli\'nski},
title = {Polynomial and spline estimators of the distribution function with prescribed accuracy},
journal = {Applicationes Mathematicae},
volume = {36},
year = {2009},
pages = {1-12},
zbl = {1284.62249},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-1-1}
}
Zbigniew Ciesielski; Ryszard Zieliński. Polynomial and spline estimators of the distribution function with prescribed accuracy. Applicationes Mathematicae, Tome 36 (2009) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-1-1/