Title

Inequalities and Comparisons of the Cauchy, Gauss, and Logistic Distributions

Document Type

Article

Publication Date

1-2004

Publication Title

Applied Mathematics Letters

DOI

10.1016/S0893-9659(04)90015-8

ISSN

0893-9659

Abstract

In this note, some inequalities and basic results including characterizations and comparisons of the Cauchy, logistic, and normal distributions are given. These results lead to necessary and sufficient conditions for the stochastic and dispersive ordering of the corresponding absolute random variables.

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