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

The target of this paper is to provide a generalized form of the Fn,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 X2n, γX2n, has been obtained, therefore the ratio of γX2n / n and γX2m / m defines the γ-order Fn,m , γFn,m . As a result the γ-order t, ytn is obtained.

Authors

Publication Details

Journal
Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)
Published
2026-01-15
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Ioannis S. Stamatiou, Christos Kitsos
Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)
Statistical Distribution Estimation and Applications
article

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

Ioannis S. Stamatiou, Christos Kitsos
article en

Abstract

The target of this paper is to provide a generalized form of the Fn,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 X2n, γX2n, has been obtained, therefore the ratio of γX2n / n and γX2m / m defines the γ-order Fn,m , γFn,m . As a result the γ-order t, ytn is obtained.

Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)
Openalex Percentile: Top 73%
Statistical Distribution Estimation and Applications
OpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The γ-order generalized F and t distributions γFn,m and γtm: Accepted January 2026 — Ioannis S. Stamatiou, Christos Kitsos · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) (2026) | TGRS Research Map | TGRS