Work

The EX-Lindley distribution with applications to renewable energy sources data

Year: 2024

Type: article

Abstract: This study introduces a novel extension of the X-Lindley model, called the EX-Lindley model. The EX-Lindley model is a mixture model that combines the characteristics of the gamma model with the weighted Lindley model. The EX-Lindley model is analyzed to determine various statistical properties, including ordinary moments, inverse moments, moment generating function, incomplete moments, conditional moments, mean deviation, Lorenz, mean residual life, mean inactivity time, order statistics, and extropy. The maximum likelihood method is employed to estimate model parameters using complete data. Moreover, the simulation study is used to compare and evaluate the attributes of the estimations for this generalized model. Finally, two examples of datasets on renewable energy sources are utilized to show the importance of the new model compared to some well-known statistical models.

Source: Journal of Radiation Research and Applied Sciences

DOI: 10.1016/j.jrras.2024.101161

Authors: Mohammed Elgarhy, Mohamed Kayid, Oluwafemi Samson Balogun, Ibrahim E. Ragab

Institutions: King Saud University, University of Eastern Finland, Egyptian Institute of Alexandria Academy for Administration & Accounting

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,400

Funders: King Saud University, Deanship of Scientific Research, King Saud University