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Considering distance measures in Statistics

Authors
  • Kitsos, Christos P.
  • Nisiotis, Constantinos-Symeon
Type
Published Article
Journal
Biometrical Letters
Publisher
Sciendo
Publication Date
Jun 01, 2022
Volume
59
Issue
1
Pages
65–75
Identifiers
DOI: 10.2478/bile-2022-0006
Source
De Gruyter
Keywords
License
Green

Abstract

The target of this paper is to offer a compact review of the so called distance methods in Statistics, which cover all the known estimation methods. Based on this fact we propose a new step, to adopt from Information Theory, the divergence measures, as distance methods, to compare two distributions, and not only to investigate if the means or the variances of the distributions are equal. Some useful results towards this line of thought are presented, adopting a compact form for all known divergence measures, and are appropriately analyzed for Biometrical, and not only, applications.

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