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"
}