Publication detail
Quasi-norms and Discrete Probability Distribution Estimations
KARPÍŠEK, Z. JURÁK, P.
Czech title
Kvazinormy a odhady diskrétních rozdělení pravděpodobnosti
English title
Quasi-norms and Discrete Probability Distribution Estimations
Type
conference paper
Language
en
Original abstract
This paper is concerned with searching for the solution of the statistical problem to find discrete probability distribution of a discrete random variable by minimizing Hellinger, Shannon and Pearson quasinorm given constraints. These constraints are chosen in general form using suitable functions regarding to the widest use, but linear in unknown probabilities. Paper is an extension of the theory from previous papers.
Czech abstract
Článek je zaměřen na řešení statistického problému nalezení diskrétního rozdělení pravděpodobnosti minimalizací Hellingerovy, Shannonovy a Pearsonovy kvazinormy za daných vedlejších podmínek.
English abstract
This paper is concerned with searching for the solution of the statistical problem to find discrete probability distribution of a discrete random variable by minimizing Hellinger, Shannon and Pearson quasinorm given constraints. These constraints are chosen in general form using suitable functions regarding to the widest use, but linear in unknown probabilities. Paper is an extension of the theory from previous papers.
Keywords in English
Shannon quasi-norm, Hellinger quasi-norm, Pearson quasi-norm, f-divergence, discrete probability distribution, Lagrange multipliers, optimization, general conditions
RIV year
2006
Released
31.05.2006
Publisher
Brno University of Technology
Location
Brno
ISBN
80-214-3195-4
Book
MENDEL 06
Edition number
1
Pages from–to
203–208
Pages count
6
BIBTEX
@inproceedings{BUT20255,
author="Zdeněk {Karpíšek} and Petr {Jurák},
title="Quasi-norms and Discrete Probability Distribution Estimations",
booktitle="MENDEL 06",
year="2006",
month="May",
pages="203--208",
publisher="Brno University of Technology",
address="Brno",
isbn="80-214-3195-4"
}