Publication result detail

Hellinger Quasinorm and Shannon Quasinorm in N-dimensional Space

JURÁK, P. - KARPÍŠEK, Z.

Original Title

Hellinger Quasinorm and Shannon Quasinorm in N-dimensional Space

English Title

Hellinger Quasinorm and Shannon Quasinorm in N-dimensional Space

Type

Paper in proceedings (conference paper)

Original Abstract

This paper is concerned with searching for the solution of a statistical problem of finding the N-dimensional simultaneous discrete probability distribution of a discrete random vector by minimizing Hellinger and Shannon quasinorms with given constraints. These constraints are chosen in a general form using functions suitable for the widest use possible but linear in unknown probabilities. The paper is an extension of the theoretical results arrived at in previous papers.

English abstract

This paper is concerned with searching for the solution of a statistical problem of finding the N-dimensional simultaneous discrete probability distribution of a discrete random vector by minimizing Hellinger and Shannon quasinorms with given constraints. These constraints are chosen in a general form using functions suitable for the widest use possible but linear in unknown probabilities. The paper is an extension of the theoretical results arrived at in previous papers.

Keywords

Hellinger quasinorm, Shannon quasinorm, discrete probability distribution, general linear constraints

Key words in English

Hellinger quasinorm, Shannon quasinorm, discrete probability distribution, general linear constraints

Authors

JURÁK, P. - KARPÍŠEK, Z.

RIV year

2011

Released

01.01.2004

Location

Brno

ISBN

80-214-2676-4

Book

MENDEL ´04. 10th International Conference on Soft Computing

Pages from

210

Pages count

6

BibTex

@inproceedings{BUT17740,
  author="Petr {Jurák} and Zdeněk {Karpíšek}",
  title="Hellinger Quasinorm and Shannon Quasinorm in N-dimensional Space",
  booktitle="MENDEL ´04. 10th International Conference on Soft Computing",
  year="2004",
  pages="6",
  address="Brno",
  isbn="80-214-2676-4"
}