On the Log-Logistic Distribution and Its Generalizations: A Survey

Abdisalam Hassan Muse, Samuel M. Mwalili and Oscar Ngesa

International Journal of Statistics and Probability, 2021, vol. 10, issue 3, 93

Abstract: In this paper, we present a review on the log-logistic distribution and some of its recent generalizations. We cite more than twenty distributions obtained by different generating families of univariate continuous distributions or compounding methods on the log-logistic distribution. We reviewed some log-logistic mathematical properties, including the eight different functions used to define lifetime distributions. These results were used to obtain the properties of some log-logistic generalizations from linear representations. A real-life data application is presented to compare some of the surveyed distributions.

Date: 2021
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