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

by Ajewole K. P, Akinyele T. W, Odukoya E.A, Ogunwale O.D, Olayinka K. P

Published: March 21, 2026 • DOI: 10.51584/IJRIAS.2026.110200152

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