Publication detail

Quasi-norms and Discrete Probability Distribution Estimations

KARPÍŠEK, Z. JURÁK, P.

Original Title

Quasi-norms and Discrete Probability Distribution Estimations

Type

conference paper

Language

English

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.

Keywords

Shannon quasi-norm, Hellinger quasi-norm, Pearson quasi-norm, f-divergence, discrete probability distribution, Lagrange multipliers, optimization, general conditions

Authors

KARPÍŠEK, Z.; JURÁK, P.

RIV year

2006

Released

31. 5. 2006

Publisher

Brno University of Technology

Location

Brno

ISBN

80-214-3195-4

Book

MENDEL 06

Edition number

1

Pages from

203

Pages to

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",
  number="1",
  pages="203--208",
  publisher="Brno University of Technology",
  address="Brno",
  isbn="80-214-3195-4"
}