Gamma-Exponential-Exponential Distribution (Geed): Theories and Properties

Authors

Olayinka K. P

Federal Polytechnic Ado-Ekiti, Ekiti State, Nigeria (Nigeria)

Ogunwale O.D

Ekiti State University, Ado-Ekiti, Ekiti State, Nigeria (Nigeria)

Odukoya E.A

Ekiti State University, Ado-Ekiti, Ekiti State, Nigeria (Nigeria)

Ajewole K. P

Mathematics Programme, Landmark University, Omu-Aran, Nigeria (Nigeria)

Akinyele T. W

Ekiti State University, Ado-Ekiti, Ekiti State, Nigeria (Nigeria)

Article Information

DOI: 10.51584/IJRIAS.2026.110200152

Subject Category: Social science

Volume/Issue: 11/2 | Page No: 1638-1647

Publication Timeline

Submitted: 2025-08-13

Accepted: 2025-08-22

Published: 2026-03-21

Abstract

The paper proposes a new family of continuous distributions called the Gamma-Exponential-Exponential distribution (GEED). It is based on the T X construction of Alzaatreh et al. (2013) by considering Gamma-Exponential distribution for T and the exponential as the distribution of X. Some of useful mathematical and statistical properties such as the moment method, moment generating function, characteristics function skewness and kurtosis, are derived, and a number of important statistical characteristics of this family are investigated the method of maximum likelihood estimation is used to estimate the model parameters. The usefulness of this family of distributions is demonstrated via simulated experiments aiming to assess their performances

Keywords

Gamma-Exponential-Exponential, Gamma-Exponential, Moment, Maximum Likelihood Estimator

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