Inequalities in Statistics and Information Measures

Christos P. Kitsos () and Thomas L. Toulias ()
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Christos P. Kitsos: Egaleo
Thomas L. Toulias: Egaleo

A chapter in Differential and Integral Inequalities, 2019, pp 481-508 from Springer

Abstract: Abstract This paper presents and discusses a number of inequalities in the area of two distinct mathematical branches, with not that different line of thought: Statistics and Mathematical Information, which apply different “measures” to analyze the collected data. In principle, in these two fields, inequalities appear either as bounds in different measures or when different measures are compared. We discuss both and we prove new bounds for the Kullback–Leibler relative entropy measure, when the Generalized Normal distribution is involved.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-27407-8_16

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DOI: 10.1007/978-3-030-27407-8_16

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