Publication result detail

Estimate of Discrete Probability Distribution by Means of Pearson Quasi-norm

KARPÍŠEK, Z.; JURÁK, P.

Original Title

Estimate of Discrete Probability Distribution by Means of Pearson Quasi-norm

English Title

Estimate of Discrete Probability Distribution by Means of Pearson Quasi-norm

Type

Paper in proceedings (conference paper)

Original Abstract

The paper is concerned with the solution to the statistical problem of finding discrete probability distributions by means of the Pearson test goodness of fit subject to conditions given by estimates of their general moments from observed relative frequencies. A Pearson quasi-norm is defined whose minimization is used for the estimates of these distributions and their basic properties are described. An example is used to illustrate the results.

English abstract

The paper is concerned with the solution to the statistical problem of finding discrete probability distributions by means of the Pearson test goodness of fit subject to conditions given by estimates of their general moments from observed relative frequencies. A Pearson quasi-norm is defined whose minimization is used for the estimates of these distributions and their basic properties are described. An example is used to illustrate the results.

Keywords

Pearson test, distribution fitting, moment constraints, Pearson quasi-norm, chi-square distribution

Key words in English

Pearson test, distribution fitting, moment constraints, Pearson quasi-norm, chi-square distribution

Authors

KARPÍŠEK, Z.; JURÁK, P.

Released

15.06.2005

Publisher

Brno University of Technology

Location

Brno, Czech Republic

ISBN

80-214-2961-5

Book

11th International Conference on Soft Computing

Pages from

202

Pages to

206

Pages count

5

BibTex

@inproceedings{BUT20821,
  author="Zdeněk {Karpíšek} and Petr {Jurák}",
  title="Estimate of Discrete Probability Distribution by Means of Pearson Quasi-norm",
  booktitle="11th International Conference on Soft Computing",
  year="2005",
  pages="202--206",
  publisher="Brno University of Technology",
  address="Brno, Czech Republic",
  isbn="80-214-2961-5"
}