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Research Article Open access CC BY 4.0

Inverse Lomax-Exponentiated G (IL-EG) Family of Distributions: Properties and Applications

Jamilu Yunusa Falgore, Sani Ibrahim Doguwa

Asian Journal of Probability and Statistics · pp. 48–64 · Published 30 Nov 2020

10.9734/ajpas/2020/v9i430234

Abstract

A new generator of continuous distributions called the Inverse Lomax-Exponentiated G family, which has three extra positive parameters is proposed. The structural properties of the new family that holds for any continuous baseline model including explicit density function expressions, moments, inequality measurements, moment generating function, reliability functions, Renyi and Shanon entropies, and distribution of order statistics are derived. A Monte Carlo simulation to test the efficiency of the maximum likelihood estimates is conducted. The application of the new sub-model to the two data sets using the maximum likelihood method indicates that the new model is better than the existing competitors.

Inverse Lomax exponentiated uniform distribution Inverse Lomax exponentiated Weibull distribution Inverse Lomax-G Monte Carlo Simulation Inverse Lomax exponentiated Burr III distribution Inverse Lomax Exponential G Family

Cited by 3

Inverse Lomax-Rayleigh distribution with application

Jamilu Yunusa Falgore, Muhammad Nazir Isah, Hussein Ahmad Abdulsalam · Heliyon · 2021

Review on Various Forms of Lomax Distribution

Et al. Pullooru Bhavana · International Journal on Recent and Innovation Trends in Computing and Communication · 2023

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