Marshall-Olkin Generalized Inverse Log-Logistic Distribution: Its properties and applications

  • O. L. Aako Department of Mathematics and Statistics, Federal Polytechnic, Ilaro, Nigeria.
  • J. A. Adewara Distance Learning Institute, University of Lagos, Akoka, Nigeria.
  • E. B. Nkemnole Department of Mathematics, University of Lagos, Akoka, Nigeria.
DOI: https://doi.org/10.6084/m9.figshare.21506103
Keywords: Flexibility, Marshall-Olkin- G, Inverse log-logistic, Moments, Maximum likelihood

Abstract

Marshall-Olkin G method of generalization is used to develop a new distribution named Marshall-Olkin Inverse log-logistic distribution (MOILLD), which has a more tractable form and can cope well with outliers in the upper tails. The statistical properties of the distribution, such as survival function, hazard function, moments, and order statistic, were investigated. The mean, variance, and mode of the distribution were also derived. The maximum likelihood estimation method was used to estimates the parameters of the distribution. The result of real-life data application showed that MOILLD has the least AIC, BIC, negative log-likelihood, and KS values compared with its competing distributions. Hence, an excellent alternative to Inverse log-logistic, Weibull, and log-normal distributions.

Published
2023-02-03
How to Cite
Aako, O. L., Adewara, J. A., & Nkemnole, E. B. (2023). Marshall-Olkin Generalized Inverse Log-Logistic Distribution: Its properties and applications. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 8(2), 79 - 93. https://doi.org/10.6084/m9.figshare.21506103
Issue
Vol 8 No 2 (2022)
Section
Articles

Copyright (c) 2023 O. L. Aako, J. A. Adewara, E. B. Nkemnole

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This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided that the original work is properly cited.