A new hybrid odd exponential-Φ family: Properties and applications

Author:

Mahdi Ghanam A.1ORCID,Khaleel Mundher A.1ORCID,Gemeay Ahmed M.2ORCID,Nagy M.3ORCID,Mansi A. H.4ORCID,Hossain Md. Moyazzem5ORCID,Hussam Eslam6

Affiliation:

1. Department of Mathematics, College of Computer Sciences and Mathematics, Tikrit University 1 , Tikrit, Iraq

2. Department of Mathematics, Faculty of Science, Tanta University 2 , Tanta 31527, Egypt

3. Department of Statistics and Operations Research, College of Science, King Saud University 3 , P.O. Box 2455, Riyadh 11451, Saudi Arabia

4. DICA, Politecnico di Milano 4 , Piazza Leonardo da Vinci 32, 20131 Milan (MI), Italy

5. 5 Department of Statistics and Data Science, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh.

6. Department of Mathematics, Faculty of Science, Helwan University 6 , Cairo, Egypt

Abstract

The paper introduces the hybrid odd exponential-Φ (HOE-Φ) family, a novel framework for generating a continuous distribution characterized by an additional parameter. The extensive statistical properties of this family are derived and explored in detail. Parameter estimation is performed using the maximum likelihood estimation technique. The efficacy and versatility of the proposed model are demonstrated through a comparative analysis involving two distinct real-world datasets.

Funder

King Saud University

Publisher

AIP Publishing

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