Work

On a Sum of Two Akash Distributions: Inference and Applications

Year: 2025

Type: article

Abstract: We propose a new distribution which is the sum of two independent Akash (AK) random variables with the same parameter. We refer to this distribution as the AKS distribution. We study the density and some of its properties. We derive the method of moments (MM) and the maximum likelihood (ML) estimator, along with the Fisher information. The performance of the ML estimator is evaluated through a simulation study. In addition, we present two real data applications, demonstrating in these cases the superiority of the AKS distribution compared to two other distributions.

Source: Axioms

DOI: 10.3390/axioms14030158

Authors: Luis Firinguetti-Limone, Neveka M. Olmos, Osvaldo Venegas, Héctor W. Gómez

Institutions: University of Bío-Bío, Universidad de Antofagasta, Universidad Católica de Temuco

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Universidad del Bío-Bío