Application of Mazur-Orlicz's theorem in AMISE calculation

Karol Dziedziul

Applicationes Mathematicae (2002)

  • Volume: 29, Issue: 1, page 33-41
  • ISSN: 1233-7234

Abstract

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An approximation error and an asymptotic formula are given for shift invariant operators of polynomial order ϱ. Density estimators based on shift invariant operators are introduced and AMISE is calculated.

How to cite

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Karol Dziedziul. "Application of Mazur-Orlicz's theorem in AMISE calculation." Applicationes Mathematicae 29.1 (2002): 33-41. <http://eudml.org/doc/279695>.

@article{KarolDziedziul2002,
abstract = {An approximation error and an asymptotic formula are given for shift invariant operators of polynomial order ϱ. Density estimators based on shift invariant operators are introduced and AMISE is calculated.},
author = {Karol Dziedziul},
journal = {Applicationes Mathematicae},
keywords = {shift invariant operators; asymptotic formula; density estimators; central limit; AMISE; asymptotic mean integral square error},
language = {eng},
number = {1},
pages = {33-41},
title = {Application of Mazur-Orlicz's theorem in AMISE calculation},
url = {http://eudml.org/doc/279695},
volume = {29},
year = {2002},
}

TY - JOUR
AU - Karol Dziedziul
TI - Application of Mazur-Orlicz's theorem in AMISE calculation
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 1
SP - 33
EP - 41
AB - An approximation error and an asymptotic formula are given for shift invariant operators of polynomial order ϱ. Density estimators based on shift invariant operators are introduced and AMISE is calculated.
LA - eng
KW - shift invariant operators; asymptotic formula; density estimators; central limit; AMISE; asymptotic mean integral square error
UR - http://eudml.org/doc/279695
ER -

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