Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)

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The Lower Bound of Density Estimation for Biased Data in Sobolev Spaces

Authors
Jinru Wang, Yuan Zhou
Corresponding Author
Jinru Wang
Available Online April 2013.
DOI
10.2991/icsem.2013.163How to use a DOI?
Keywords
Lower Bound, Density Estimation, Biased Data, Sobolev Spaces.
Abstract

In this paper, we consider the density estimation problem from independent and identically distributed (i.i.d.) biased observations. We study the lower bound of convergence rates of density estimation over Sobolev spaces WrN N N+ under the Lp risk by using Fano s lemma.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)
Series
Advances in Intelligent Systems Research
Publication Date
April 2013
ISBN
978-94-91216-42-8
ISSN
1951-6851
DOI
10.2991/icsem.2013.163How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Jinru Wang
AU  - Yuan Zhou
PY  - 2013/04
DA  - 2013/04
TI  - The Lower Bound of Density Estimation for Biased Data in Sobolev Spaces
BT  - Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)
PB  - Atlantis Press
SP  - 792
EP  - 796
SN  - 1951-6851
UR  - https://doi.org/10.2991/icsem.2013.163
DO  - 10.2991/icsem.2013.163
ID  - Wang2013/04
ER  -