Publication detail
Qusi-Norms for Discrete Probability Distribution Estimation
ŠÁCHA, J. KARPÍŠEK, Z. JURÁK, P.
Czech title
Kvazinormy pro odhad diskrétního rozdělení pravděpodobnosti
English title
Qusi-Norms for Discrete Probability Distribution Estimation
Type
conference paper
Language
en
Original abstract
This article is focused on theorecical and applicational problems with estimation of a discrete probability distributions from observed data. Theoretical aspects come out from minimizing Hellinger, Shannon and Pearson quasi-norm with given constraints. These quasi-norms are based on term of f-divergence of probability distribution. Some examples of applications are shown.
Czech abstract
Článek je zaměřen na odhad diskrétního rozdělení pravděpodobnosti z pozorovaného datového souboru. Teoretické aspekty vychází z minimalizace Hellingerovy, Shannonovi a Pearsonovy kvazinormy při splnění dodatečných momentových podmínek. Kvazinormy jsou odvozeny z pojmu f-divergence rozdělení pravděpodobnosti. Jsou ukázány také přílady praktického využití.
English abstract
This article is focused on theorecical and applicational problems with estimation of a discrete probability distributions from observed data. Theoretical aspects come out from minimizing Hellinger, Shannon and Pearson quasi-norm with given constraints. These quasi-norms are based on term of f-divergence of probability distribution. Some examples of applications are shown.
Keywords in Czech
divergence, kvazinorma, odhad diskrétního rozdělení pravděpodobnodti
Keywords in English
divergence, quasi-norm, discrete probability distribution estimation
RIV year
2007
Released
20.09.2007
Publisher
VŠB - Technical University of Ostrava
Location
Ostrava, Czech republic
ISBN
978-80-248-1575-6
Book
Risk, quality and reliability
Edition number
1
Pages from–to
179–186
Pages count
7
BIBTEX
@inproceedings{BUT28680,
author="Jakub {Šácha} and Zdeněk {Karpíšek} and Petr {Jurák},
title="Qusi-Norms for Discrete Probability Distribution Estimation",
booktitle="Risk, quality and reliability",
year="2007",
month="September",
pages="179--186",
publisher="VŠB - Technical University of Ostrava",
address="Ostrava, Czech republic",
isbn="978-80-248-1575-6"
}