The γ-order generalized F and t distributions γFn,m and γtm: Accepted January 2026

Christos Kitsos; Ioannis Stamatiou

Forthcoming

The γ-order generalized F and t distributions _γF_n,m and _γt_m

Accepted January 2026

Authors

Christos Kitsos University of West Attica https://orcid.org/0000-0003-4660-411X
Ioannis S. Stamatiou Hellenic American University https://orcid.org/0000-0002-8215-9634

Keywords:

γ-order generalized normal distribution, F distribution, Student's t distribution, chi-square distribution, Jacobian

Abstract

The target of this paper is to provide a generalized form of the F_n,m distribution. Based on the γ-order Generalized Normal (γ-GN), their ratio, the Cauchy distribution has been generalized. The sum of squares of n standard γ-GN, the γ-order X²_n, _γX²_n, has been obtained, therefore the ratio of _γX²_n / n and _γX²_m / m defines the γ-order F_n,m , _γF_n,m . As a result the γ-order t, _yt_n is obtained.

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REVSTAT2026_jan2

Published

2026-01-15

Issue

new article

Section

Forthcoming Paper

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Kitsos, C., & Stamatiou, I. (2026). The γ-order generalized F and t distributions γFn,m and γtm: Accepted January 2026. REVSTAT-Statistical Journal. https://revstat.ine.pt/index.php/REVSTAT/article/view/1085

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